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 <ω(G) of centered upfamilies and characterize groups G whose extensions N <ω(G) are commutative. We finish the paper with the complete description of the structure of the semigroups N <ω(G) for all groups G of cardinality |G| ≤ 4.
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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