A Note on Mal′cevian Varieties
Canadian mathematical bulletin, Tome 17 (1974) no. 4, p. 609
Voir la notice de l'article provenant de la source Cambridge University Press
By a homomorphic relation over an algebra A we mean a subalgebra of A × A. A variety [1[ of algebras will be called Mal′cevian [2[ if the identities of include two identities of the form f (x, y, y)=x, f(x, x, y)=y. In [3[ many examples and interesting properties of Mal′cevian varieties have been quoted or proved. In [4[ it is noted that every reflexive homomorphic relation over an algebra of a Mal′cevian variety is a congruence. The purpose of this short note is to observe that the property of Mal′cevian varieties noted in [1] is in fact characteristic of such varieties.
Shafaat, Ahmad. A Note on Mal′cevian Varieties. Canadian mathematical bulletin, Tome 17 (1974) no. 4, p. 609. doi: 10.4153/CMB-1974-112-3
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author = {Shafaat, Ahmad},
title = {A {Note} on {Mal'cevian} {Varieties}},
journal = {Canadian mathematical bulletin},
pages = {609--609},
year = {1974},
volume = {17},
number = {4},
doi = {10.4153/CMB-1974-112-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-112-3/}
}
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