Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.06
T. Y. Ghawi
In this paper, we properly generalize the notion of co-Hopficity for modules to the concept of closed co-Hopficity. A module M is said to be closed co-Hopfian if any injective endomorphism of M has a closed submodule image. The aim of this paper is to study and investigate this class of modules. In addition, some relations for this class with other types of modules are provided.
{"title":"Closed co-Hopfian modules","authors":"T. Y. Ghawi","doi":"10.24193/mathcluj.2022.2.06","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.06","url":null,"abstract":"In this paper, we properly generalize the notion of co-Hopficity for modules to the concept of closed co-Hopficity. A module M is said to be closed co-Hopfian if any injective endomorphism of M has a closed submodule image. The aim of this paper is to study and investigate this class of modules. In addition, some relations for this class with other types of modules are provided.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42418323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.12
Madjid Sebaoui, Ghania Guettai, Difalah Laissaoui, M. Rahmani
In this paper, we employ generating functions' techniques to obtain some identities involving degenerate Bell polynomials, multivariate Bell polynomials, and Carlitz degenerate Stirling numbers. Moreover, we obtain some formulas related to an explicit representation and recurrence relations for Lah polynomials.
{"title":"Degenerate Stirling numbers and a family of Bell polynomials","authors":"Madjid Sebaoui, Ghania Guettai, Difalah Laissaoui, M. Rahmani","doi":"10.24193/mathcluj.2022.2.12","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.12","url":null,"abstract":"In this paper, we employ generating functions' techniques to obtain some identities involving degenerate Bell polynomials, multivariate Bell polynomials, and Carlitz degenerate Stirling numbers. Moreover, we obtain some formulas related to an explicit representation and recurrence relations for Lah polynomials.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41873457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.04
M. Bouaouid
This paper deals with the existence and uniqueness of the integral solution of a nondense integro-differential equation with nonlocal condition in the frame of conformable fractional derivative. The main results are obtained by using some fixed point theorems combined with an integrated semigroup approach.
{"title":"Integral solution of a conformable fractional integro-differential equation with nonlocal condition","authors":"M. Bouaouid","doi":"10.24193/mathcluj.2022.2.04","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.04","url":null,"abstract":"This paper deals with the existence and uniqueness of the integral solution of a nondense integro-differential equation with nonlocal condition in the frame of conformable fractional derivative. The main results are obtained by using some fixed point theorems combined with an integrated semigroup approach.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41989939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.09
Ayat Abdulaali Neamah, A. Erfanian, A. Majeed
We introduce a new generalization of Cayley graphs. Moreover, we establish some basic properties of this new type of graph and we determine its structure under some assumptions.
{"title":"On a generalized Cayley graph of column matrices of elements of a finite group","authors":"Ayat Abdulaali Neamah, A. Erfanian, A. Majeed","doi":"10.24193/mathcluj.2022.2.09","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.09","url":null,"abstract":"We introduce a new generalization of Cayley graphs. Moreover, we establish some basic properties of this new type of graph and we determine its structure under some assumptions.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48073372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.10
Hirokazu Nishinobu, Toshihiro Yamaguchi
Let Baut_1X and Baut_1p be the Dold-Lashof classifying spaces of a space X and a fibration p:X --> Y, respectively. In this paper, we give an example that there exists a fibration Xi such that Baut_1X and Baut_1p are not coformal and are rational H(2)-spaces.
{"title":"An example of non-coformal classifying space with rational H(2)-structure","authors":"Hirokazu Nishinobu, Toshihiro Yamaguchi","doi":"10.24193/mathcluj.2022.2.10","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.10","url":null,"abstract":"Let Baut_1X and Baut_1p be the Dold-Lashof classifying spaces of a space X and a fibration p:X --> Y, respectively. In this paper, we give an example that there exists a fibration Xi such that Baut_1X and Baut_1p are not coformal and are rational H(2)-spaces.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49026764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.11
R. Prasad, M. Khuddush, Botta Bharati
In this paper we consider the semilinear wave equation with the product of logarithmic and polynomial nonlinearities and establish the global existence and finite-time blowup of solutions by using the potential well method.
{"title":"Finite-time blowup and existence of global solutions for a logarithmic semilinear hyperbolic equation","authors":"R. Prasad, M. Khuddush, Botta Bharati","doi":"10.24193/mathcluj.2022.2.11","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.11","url":null,"abstract":"In this paper we consider the semilinear wave equation with the product of logarithmic and polynomial nonlinearities and establish the global existence and finite-time blowup of solutions by using the potential well method.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48502748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.02
A. Al-Omari, R. Gargouri, T. Noiri
"Let (X, f, I) be a Cech closure space with an ideal I. We investigate the properties of so-called Cech touch points and construct a topology on X from the touch points. Moreover, in a Cech closure space (X, f, I) with an ideal I , we define the notion of f-compatibility with the ideal I and obtain several characterizations of this type of compatibility."
{"title":"Touch points in ideal Cech closure spaces","authors":"A. Al-Omari, R. Gargouri, T. Noiri","doi":"10.24193/mathcluj.2022.2.02","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.02","url":null,"abstract":"\"Let (X, f, I) be a Cech closure space with an ideal I. We investigate the properties of so-called Cech touch points and construct a topology on X from the touch points. Moreover, in a Cech closure space (X, f, I) with an ideal I , we define the notion of f-compatibility with the ideal I and obtain several characterizations of this type of compatibility.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48682699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.13
N. Snanou
Let p be a prime number and F_p a finite field of order p. Let GL_n(F_p) denote the general linear group and let U_n denote the unitriangular group of n x n upper triangular matrices with ones on the diagonal, over the finite field F_p. This is a finite group of order and a Sylow p-subgroup of GL_n(F_p}. In this work, we characterize some p-subgroups of GL_n(F_p) with respect to a given property.
{"title":"Counting formulas for certain p-subgroups of GL_n(F_p)","authors":"N. Snanou","doi":"10.24193/mathcluj.2022.2.13","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.13","url":null,"abstract":"Let p be a prime number and F_p a finite field of order p. Let GL_n(F_p) denote the general linear group and let U_n denote the unitriangular group of n x n upper triangular matrices with ones on the diagonal, over the finite field F_p. This is a finite group of order and a Sylow p-subgroup of GL_n(F_p}. In this work, we characterize some p-subgroups of GL_n(F_p) with respect to a given property.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48533364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.07
E. Grigoriciuc
{"title":"Some general distortion results for K(alpha) and S^*(alpha)","authors":"E. Grigoriciuc","doi":"10.24193/mathcluj.2022.2.07","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.07","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45239191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.24193/mathcluj.2022.2.05
A. Boukhsas, A. Zerouali, O. Chakrone, B. Karim
In this work, we study positive solutions of a Steklov problem driven by the (p,2)-Laplacian operator by using the variational method. A sufficient condition for the existence of positive solutions is characterized by the eigenvalues of a linear eigenvalue problem and another nonlinear eigenvalue problem.
{"title":"Positive solutions for a (p, 2)-Laplacian Steklov problem","authors":"A. Boukhsas, A. Zerouali, O. Chakrone, B. Karim","doi":"10.24193/mathcluj.2022.2.05","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.2.05","url":null,"abstract":"In this work, we study positive solutions of a Steklov problem driven by the (p,2)-Laplacian operator by using the variational method. A sufficient condition for the existence of positive solutions is characterized by the eigenvalues of a linear eigenvalue problem and another nonlinear eigenvalue problem.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47775271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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