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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, Künneth formula (category-theoretic aspects) 18G60 Other (co)homology theories (MSC2010)
##### Keywords:
bar homology groups; Tor-groups; non-unital ring
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