{"title":"Gröbner–Shirshov bases for Lie algebras over a commutative algebra","authors":"","doi":"10.1142/9789814619493_0005","DOIUrl":"https://doi.org/10.1142/9789814619493_0005","url":null,"abstract":"","PeriodicalId":122602,"journal":{"name":"Gröbner–Shirshov Bases","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116681792","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}
{"title":"Decision problems for groups","authors":"A. Glass","doi":"10.1142/9789814619493_0006","DOIUrl":"https://doi.org/10.1142/9789814619493_0006","url":null,"abstract":"These notes are “bare bones” and will be greatly amplified in lectures. Apart from the beginning, I have included merely definitions and the main steps of the proofs. In contrast, in the lectures I will endeavour to stress the intuition rather than just give formal proofs. We will need some group constructions and a brief theory of algorithms, and will study their interplay. Exercises are included.","PeriodicalId":122602,"journal":{"name":"Gröbner–Shirshov Bases","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123433373","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}
{"title":"Free algebras","authors":"T. S. Rao, P. Rao","doi":"10.1142/9789814619493_0002","DOIUrl":"https://doi.org/10.1142/9789814619493_0002","url":null,"abstract":"In this paper we studied the free A*-algebras, the sub A*-algebra generated by a subset and its characterization, an A*-algebra freely generated by a subset and introduced the concept of A*-field of sets. Also we established some theorems on making A*-field of sets into A*-algebras.","PeriodicalId":122602,"journal":{"name":"Gröbner–Shirshov Bases","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130671099","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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