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Abstract

Given a group G we study right and left zeros, idempotents, the minimal ideal, left cancellable and right cancellable elements of the semigroup N (G) of centered upfamilies and characterize groups G whose extensions N (G) are commutative. We finish the paper with the complete description of the structure of the semigroups N (G) for all groups G of cardinality |G| ≤ 4.

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Correspondence to V. Gavrylkiv.

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Submitted by E. K. Lipachev

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Gavrylkiv, V. Semigroups of centered upfamilies on groups. Lobachevskii J Math 38, 420–428 (2017). https://doi.org/10.1134/S1995080217030106

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  • DOI: https://doi.org/10.1134/S1995080217030106

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