Pub Date : 2023-06-30DOI: 10.1142/s0218196723500376
Ziyan Zuo, Jiancai Sun
Let [Formula: see text] be the planar Galilean conformal superalgebra. In this paper, we determine all the super-skewsymmetric super-biderivations of [Formula: see text]. We find that every super-skewsymmetric super-biderivation of the planar Galilean conformal superalgebra is inner.
{"title":"Super-biderivations on the planar Galilean conformal superalgebra","authors":"Ziyan Zuo, Jiancai Sun","doi":"10.1142/s0218196723500376","DOIUrl":"https://doi.org/10.1142/s0218196723500376","url":null,"abstract":"Let [Formula: see text] be the planar Galilean conformal superalgebra. In this paper, we determine all the super-skewsymmetric super-biderivations of [Formula: see text]. We find that every super-skewsymmetric super-biderivation of the planar Galilean conformal superalgebra is inner.","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"7 1","pages":"837-850"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81990060","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 : 2023-06-16DOI: 10.1142/s021819672350042x
D. Kudryavtsev
{"title":"Semigroups locally embeddable into the class of finite semigroups","authors":"D. Kudryavtsev","doi":"10.1142/s021819672350042x","DOIUrl":"https://doi.org/10.1142/s021819672350042x","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"48 1","pages":"969-988"},"PeriodicalIF":0.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79333461","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 : 2023-06-16DOI: 10.1142/s0218196723500443
M. Brundu, A. Logar, Federico Polli
{"title":"Construction of symmetric cubic surfaces","authors":"M. Brundu, A. Logar, Federico Polli","doi":"10.1142/s0218196723500443","DOIUrl":"https://doi.org/10.1142/s0218196723500443","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"53 1","pages":"1007-1035"},"PeriodicalIF":0.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82282675","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 : 2023-06-16DOI: 10.1142/s0218196723500431
Jung-Miao Kuo, G. Szeto
{"title":"On the induced partial action of a quotient group and a structure theorem for a partial Galois extension","authors":"Jung-Miao Kuo, G. Szeto","doi":"10.1142/s0218196723500431","DOIUrl":"https://doi.org/10.1142/s0218196723500431","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"102 1","pages":"989-1006"},"PeriodicalIF":0.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77107571","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 : 2023-06-02DOI: 10.1142/s0218196723500418
N. Sohail, A. Shah, S. A. Ahangar
{"title":"On lax epimorphisms of partially ordered monoids","authors":"N. Sohail, A. Shah, S. A. Ahangar","doi":"10.1142/s0218196723500418","DOIUrl":"https://doi.org/10.1142/s0218196723500418","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"44 1","pages":"953-967"},"PeriodicalIF":0.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87504493","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 : 2023-06-02DOI: 10.1142/s0218196723500406
Mousumi Mandal, Dipak Kumar Pradhan
{"title":"Properties of symbolic powers of edge ideals of weighted oriented graphs","authors":"Mousumi Mandal, Dipak Kumar Pradhan","doi":"10.1142/s0218196723500406","DOIUrl":"https://doi.org/10.1142/s0218196723500406","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"33 1","pages":"927-951"},"PeriodicalIF":0.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81377716","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 : 2023-05-26DOI: 10.1142/s021819672350039x
Takehiko Yasuda
{"title":"The isomorphism problem of projective schemes and related algorithmic problems","authors":"Takehiko Yasuda","doi":"10.1142/s021819672350039x","DOIUrl":"https://doi.org/10.1142/s021819672350039x","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"37 1","pages":"893-926"},"PeriodicalIF":0.0,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75693379","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 : 2023-05-12DOI: 10.1142/s0218196723500339
Valentino Delle Rose, L. Mauro, A. Sorbi
We contribute to a recent research program which aims at revisiting the study of the complexity of word problems, a major area of research in combinatorial algebra, through the lens of the theory of computably enumerable equivalence relations (ceers), which has considerably grown in recent times. To pursue our analysis, we rely on the most popular way of assessing the complexity of ceers, that is via computable reducibility on equivalence relations, and its corresponding degree structure (the c-degrees). On the negative side, building on previous work of Kasymov and Khoussainov, we individuate a collection of c-degrees of ceers which cannot be realized by the word problem of any finitely generated algebra of finite type. On the positive side, we show that word problems of finitely generated semigroups realize a collection of c-degrees which embeds rich structures and is large in several reasonable ways.
{"title":"Classifying word problems of finitely generated algebras via computable reducibility","authors":"Valentino Delle Rose, L. Mauro, A. Sorbi","doi":"10.1142/s0218196723500339","DOIUrl":"https://doi.org/10.1142/s0218196723500339","url":null,"abstract":"We contribute to a recent research program which aims at revisiting the study of the complexity of word problems, a major area of research in combinatorial algebra, through the lens of the theory of computably enumerable equivalence relations (ceers), which has considerably grown in recent times. To pursue our analysis, we rely on the most popular way of assessing the complexity of ceers, that is via computable reducibility on equivalence relations, and its corresponding degree structure (the c-degrees). On the negative side, building on previous work of Kasymov and Khoussainov, we individuate a collection of c-degrees of ceers which cannot be realized by the word problem of any finitely generated algebra of finite type. On the positive side, we show that word problems of finitely generated semigroups realize a collection of c-degrees which embeds rich structures and is large in several reasonable ways.","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"4 1","pages":"751-768"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85336767","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 : 2023-04-28DOI: 10.1142/s0218196723500315
L. Mao
{"title":"Pure projective, pure injective and FP-injective modules over trivial ring extensions","authors":"L. Mao","doi":"10.1142/s0218196723500315","DOIUrl":"https://doi.org/10.1142/s0218196723500315","url":null,"abstract":"","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"2014 1","pages":"699-716"},"PeriodicalIF":0.0,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87940219","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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