MOD-2 (CO)homology of an Abelian Group
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DOI: 10.1007/s10958-021-05200-0
Abstract: It is known that for a prime $p\ne 2$ there is the following natural description of the homology algebra of an abelian group $H_*(A,\mathbb F_p)\cong \Lambda(A/p)\otimes \Gamma({}_pA)$ and for finitely generated abelian groups there is… read more here.
Keywords: mod homology; abelian group; mathbb; homology ... See more keywords
Balance for Relative (Co)Homology in Abelian Categories
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DOI: 10.1007/s41980-019-00211-9
Abstract: Let $${\mathcal {A}}$$A be an abelian category, and $${\mathcal {X}}$$X and $${\mathcal {Y}}$$Y subcategories. We derive in this paper an additive functor $$T(-, -)$$T(-,-) using proper $${\mathcal {X}}$$X-resolutions (respectively, proper $${\mathcal {Y}}$$Y-coresolutions). Under certain conditions,… read more here.
Keywords: balance relative; relative homology; abelian categories; homology ... See more keywords