Pub Date : 2021-08-18DOI: 10.33048/semi.2021.18.067
E. Shishkina, S. Sitnik, I. Jebabli
{"title":"Application of Integral Transforms Composition Method (ITCM) to obtaining transmutations via integral transforms with Bessel functions in kernels","authors":"E. Shishkina, S. Sitnik, I. Jebabli","doi":"10.33048/semi.2021.18.067","DOIUrl":"https://doi.org/10.33048/semi.2021.18.067","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46120515","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 : 2021-08-03DOI: 10.33048/semi.2021.18.066
D. Bolotov
{"title":"On PL embeddings of a 2-sphere in the 4-dimensional Euclidean space","authors":"D. Bolotov","doi":"10.33048/semi.2021.18.066","DOIUrl":"https://doi.org/10.33048/semi.2021.18.066","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45656349","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 : 2021-08-03DOI: 10.33048/semi.2021.18.065
N. Abrosimov, V. Gorbounov, S. Nechaev, M. Singh, A. Vesnin
{"title":"4th International Conference ``Groups and quandles in low-dimensional topology'', Tomsk, July 5–8, 2021","authors":"N. Abrosimov, V. Gorbounov, S. Nechaev, M. Singh, A. Vesnin","doi":"10.33048/semi.2021.18.065","DOIUrl":"https://doi.org/10.33048/semi.2021.18.065","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46761403","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 : 2021-07-25DOI: 10.33048/semi.2021.18.061
E. V. Korablina, V. B. Levenshtam
{"title":"Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem","authors":"E. V. Korablina, V. B. Levenshtam","doi":"10.33048/semi.2021.18.061","DOIUrl":"https://doi.org/10.33048/semi.2021.18.061","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49665785","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 : 2021-07-16DOI: 10.33048/semi.2021.18.059
O. Germider, V. Popov
{"title":"An application of the Chebyshev collocation method for the calculation of a mass flux in a long concentric annular channel","authors":"O. Germider, V. Popov","doi":"10.33048/semi.2021.18.059","DOIUrl":"https://doi.org/10.33048/semi.2021.18.059","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48536904","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 : 2021-07-06DOI: 10.33048/semi.2021.18.057
¨¨—˚¨¯ ¸¯˚—˛˝˝¯, ¯¨¯˚¨¯ ¨˙´¯¨, N. Ghaedan
Since 2004, Baer modules have been considered by many authors as a generalization of the Baer rings. A module $M_R$ is called Baer if every intersection of the kernels of endomorphisms on $M_R$ is a direct summand of $M_R$. It is known that commutative Baer rings are reduced. We prove that if a Baer module M is a direct sum of prime modules, then every direct summand of M is retractable. The converse is true whenever the triangulating dimension of $M$ is finite (e.g. if the uniform dimension of M is finite). Dually, if every direct summand of a dual-Baer module M is co-retractable, then it is a direct sum of co-prime modules and the converse is true whenever the sum is finite or M is a max-module. Among other applications, we show that if R is a commutative hereditary Noetherian ring then a finitely generated R-module is Baer iff it is projective or semisimple. Also, over a ring Morita equivalent to a perfect duo ring, all dual-Baer modules are semisimple.
{"title":"When a (dual-)Baer module is a direct sum of (co-)prime modules","authors":"¨¨—˚¨¯ ¸¯˚—˛˝˝¯, ¯¨¯˚¨¯ ¨˙´¯¨, N. Ghaedan","doi":"10.33048/semi.2021.18.057","DOIUrl":"https://doi.org/10.33048/semi.2021.18.057","url":null,"abstract":"Since 2004, Baer modules have been considered by many authors as a generalization of the Baer rings. A module $M_R$ is called Baer if every intersection of the kernels of endomorphisms on $M_R$ is a direct summand of $M_R$. It is known that commutative Baer rings are reduced. We prove that if a Baer module M is a direct sum of prime modules, then every direct summand of M is retractable. The converse is true whenever the triangulating dimension of $M$ is finite (e.g. if the uniform dimension of M is finite). Dually, if every direct summand of a dual-Baer module M is co-retractable, then it is a direct sum of co-prime modules and the converse is true whenever the sum is finite or M is a max-module. Among other applications, we show that if R is a commutative hereditary Noetherian ring then a finitely generated R-module is Baer iff it is projective or semisimple. Also, over a ring Morita equivalent to a perfect duo ring, all dual-Baer modules are semisimple.","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44374949","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 : 2021-07-02DOI: 10.33048/semi.2021.18.056
L. Tsiovkina
{"title":"On a class of vertex-transitive distance-regular covers of complete graphs","authors":"L. Tsiovkina","doi":"10.33048/semi.2021.18.056","DOIUrl":"https://doi.org/10.33048/semi.2021.18.056","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49550929","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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