Semidirect products and crossed modules in varieties of right $\Omega$-loops

Edward B. Inyangala

We present a new explicit construction of categorical semidirect products in an arbitrary variety V of right $\Omega$-loops and use it to obtain simplified descriptions of internal precrossed and crossed modules in V.

Keywords: semidirect products, variety of right loops, crossed module, precrossed module

2000 MSC: 08C05, 18D35, 18G50, 18C10

Theory and Applications of Categories, Vol. 25, 2011, No. 16, pp 426-435.

Published 2011-10-30.

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