{"title":"二元李超代数和代数的新例","authors":"A. N. Grishkov, I. P. Shestakov, M. N. Rasskazova","doi":"10.1007/s10469-022-09663-1","DOIUrl":null,"url":null,"abstract":"<div><div><p>New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.</p></div></div>","PeriodicalId":7422,"journal":{"name":"Algebra and Logic","volume":"60 6","pages":"366 - 374"},"PeriodicalIF":0.4000,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New Examples of Binary Lie Superalgebras and Algebras\",\"authors\":\"A. N. Grishkov, I. P. Shestakov, M. N. Rasskazova\",\"doi\":\"10.1007/s10469-022-09663-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div><p>New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.</p></div></div>\",\"PeriodicalId\":7422,\"journal\":{\"name\":\"Algebra and Logic\",\"volume\":\"60 6\",\"pages\":\"366 - 374\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra and Logic\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10469-022-09663-1\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra and Logic","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10469-022-09663-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"LOGIC","Score":null,"Total":0}
New Examples of Binary Lie Superalgebras and Algebras
New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.
期刊介绍：
This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions.
Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences.
All articles are peer-reviewed.
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