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An explicit computation of “bar” homology groups of a non-unital ring. (English) Zbl 1040.18009
Let \(s\) be a positive integral number, \(A\) a ring with identity, and the additive group of \(sA\) a free \(\mathbb{Z}\)-module with basis \(s_i\), where \(i\) in a totally ordered set \(I\). In this paper the authors give the bar homology groups of \(sA\) with an explicit computation.

MSC:
18G15 Ext and Tor, generalizations, K√ľnneth formula (category-theoretic aspects)
18G60 Other (co)homology theories (MSC2010)
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