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Cohomology of oriented algebras. (English) Zbl 1427.16006

Summary: In this paper, our goal is to develop the equivariant version of Hochschild cohomology. In particular, we develop a cohomology theory for oriented algebras.

MSC:

16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras
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References:

[1] Baues, H. J.; Pirashvili, T., Comparison of MacLane, Shukla and Hochschild cohomologies, J. Reine Ang. Math., 598, 25-69, (2006) · Zbl 1116.18009
[2] Gerstenhaber, M., On the deformation of rings and algebras. Ann. Math., 59-103, (1964) · Zbl 0123.03101
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[4] MacLane, S., Homology, (1998), Springer-Verlag, Berlin
[5] Quillen, D. G., Homotopical Algebra, (1967), Springer-Verlag · Zbl 0168.20903
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