An explicit computation of “bar” homology groups of a non-unital ring. (English) Zbl 1040.18009

Kuku, Aderemi O.; Tang, Guoping

Beitr. Algebra Geom. 44, No. 2, 375-382 (2003).

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.

Reviewer: Tong Wenting (Nanjing)

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