Homology, Homotopy and Applications

Pseudo-cohomology of general extensions

Ramji Lal and B.K. Sharma

Full-text: Open access

Abstract

In this article, we associate new invariants called pseudo-homology and pseudo-cohomology groups to right quasigroups and in turn to geometric spaces with natural quasigroup structures and to general extensions. It initiates a program to differentiate different types of general extensions.

Article information

Source
Homology Homotopy Appl., Volume 12, Number 2 (2010), 147-165.

Dates
First available in Project Euclid: 28 January 2011

Permanent link to this document
https://projecteuclid.org/euclid.hha/1296223880

Mathematical Reviews number (MathSciNet)
MR2721033

Zentralblatt MATH identifier
1238.20076

Subjects
Primary: 20J05: Homological methods in group theory 20N05: Loops, quasigroups [See also 05Bxx]

Keywords
General extension c-groupoid right quasigroup pseudo-cohomology

Citation

Lal, Ramji; Sharma, B.K. Pseudo-cohomology of general extensions. Homology Homotopy Appl. 12 (2010), no. 2, 147--165. https://projecteuclid.org/euclid.hha/1296223880


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