Abelian extensions of algebras in congruence-modular varieties
William H. Rowan
Abstract
We define abelian extensions of algebras in congruence-modular varieties. The theory is sufficiently general that it includes, in a natural way, extensions of R-modules for a ring R. We also define a cohomology theory, which we call clone cohomology, such that the cohomology group in dimension one is the group of equivalence classes of extensions.
Create a lesson
Related papers
Directed partial orders on the complex number field
Wenyi Wang, Ruisong Yuan, Yuehui Zhang et al.
Polynomial identities, central polynomials and cocharacters of M2(F) with G-graded involution
Rafael Bezerra dos Santos, Lucas Reis
Polynomial identities, central polynomials and cocharacters of M2(F) with transpose superinvolution
Rafael Bezerra dos Santos, Lucas Reis
Range-compatible homomorphisms on Hermitian matrices
Clément de Seguins Pazzis
Transposed Triple Products and Pro-Symmetric Rings in -Rings
Huaxi Chen, Long Wang, Honglin Zou
On -Reversible and Generalized -Reversible Rings
Huaxi Chen, Long Wang, Honglin Zou