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Multipliers and unicentral diassociative algebras.
- Source :
-
Journal of Algebra & Its Applications . May2023, Vol. 22 Issue 5, p1-20. 20p. - Publication Year :
- 2023
-
Abstract
- This paper details the diassociative analogue of results concerning the Schur multiplier and other extension-theoretic concepts that originate in group theory. We first prove that covers of diassociative algebras are unique. Second, we show that the multiplier of a diassociative algebra is characterized by the second cohomology group with coefficients in the field. Third, we establish criteria for when the center of a cover maps onto the center of the algebra. Along the way, we obtain a collection of exact sequences, characterizations, and a brief theory of unicentral diassociative algebras and stem extensions. This paper is part of an ongoing project to advance extension theory in the context of several Loday algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*GROUP theory
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 22
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 162265255
- Full Text :
- https://doi.org/10.1142/S0219498823501074