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Salamander lemma for non-abelian group-like structures.
- Source :
-
Journal of Algebra & Its Applications . Feb2020, Vol. 19 Issue 2, pN.PAG-N.PAG. 12p. - Publication Year :
- 2020
-
Abstract
- It is well known that the classical diagram lemmas of homological algebra for abelian groups can be generalized to non-abelian group-like structures, such as groups, rings, algebras, loops, etc. In this paper, we establish such a generalization of the "salamander lemma" due to G. M. Bergman, in a self-dual axiomatic context (developed originally by Z. Janelidze), which applies to all usual non-abelian group-like structures and also covers axiomatic contexts such as semi-abelian categories in the sense of G. Janelidze, L. Márki and W. Tholen and exact categories in the sense of M. Grandis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SALAMANDERS
*HOMOLOGICAL algebra
*GROUP algebras
*ABELIAN groups
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 143226451
- Full Text :
- https://doi.org/10.1142/S021949882050022X