Abelian extensions of algebras in congruence-modular varieties

Details Abelian extensions of algebras in congruence-modular varieties Abelian extensions of algebras in congruence-modular varieties

2000-05-13

arxiv.org/abs/math/0005134v1

Mathematics

Rings and Algebras

30 pages

Scientific paper

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.

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