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A Semigroup Is Finite Iff It Is Chain-Finite and Antichain-Finite

Banakh, I; Banakh, T; Bardyla, S

Bardyla, S (corresponding author), Univ Vienna, Kurt Godel Res Ctr, Inst Math, A-1090 Vienna, Austria.

AXIOMS, 2021; 10 (1):

Abstract

A subset A of a semigroup S is called a chain (antichain) if ab is an element of {a, b} (ab is not an element of {a, b}) for any (distinct) elements a......

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