Abelian extensions of algebras in congruence-modular varieties
Rings and Algebras
2007-05-23 v1
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.
Cite
@article{arxiv.math/0005134,
title = {Abelian extensions of algebras in congruence-modular varieties},
author = {William H. Rowan},
journal= {arXiv preprint arXiv:math/0005134},
year = {2007}
}
Comments
30 pages