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Semidirect products and crossed modules in varieties of right $\Omega$-loops
Theory and applications of categories, Tome 25 (2011), pp. 426-435 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

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Classification : 08C05, 18D35, 18G50, 18C10
Keywords: semidirect products, variety of right loops, crossed module, precrossed module 
@article{TAC_2011_25_a15,
     author = {Edward B. Inyangala},
     title = {Semidirect products and crossed modules in varieties of right $\Omega$-loops},
     journal = {Theory and applications of categories},
     pages = {426--435},
     year = {2011},
     volume = {25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a15/}
}
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Edward B. Inyangala. Semidirect products and crossed modules in varieties of right $\Omega$-loops. Theory and applications of categories, Tome 25 (2011), pp. 426-435. http://geodesic.mathdoc.fr/item/TAC_2011_25_a15/