Geodesic
On the regularity of some subsemigroups of equivalence relation's endomorphism monoid
Prikladnaâ diskretnaâ matematika, no. 3 (2014), pp. 5-11

Voir la notice de l'article provenant de la source Math-Net.Ru

For the set of halfstrong (locally strong, quasi-strong) endomorphisms of an equivalence relation graph, the conditions to form a semigroup are found. Thus the answer to the question put by M. Böttcher and U. Knauer's is given. The conditions for regularity of such semigroups are found too.
Keywords: regularity, semigroup
Mots-clés : endomorphism, equivalence. 
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     title = {On the regularity of some subsemigroups of equivalence relation's endomorphism monoid},
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     url = {http://geodesic.mathdoc.fr/item/PDM_2014_3_a0/}
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E. A. Bondar. On the regularity of some subsemigroups of equivalence relation's endomorphism monoid. Prikladnaâ diskretnaâ matematika, no. 3 (2014), pp. 5-11. http://geodesic.mathdoc.fr/item/PDM_2014_3_a0/