Semilattices of rectangular bands and groups of order two
classification
🧮 math.RA
keywords
bandsgroupsorderrectangularidentityonlyprovesatisfies
read the original abstract
We prove that a semigroup S is a semilattice of rectangular bands and groups of order two if and only if it satisfies the identity x = xxx and for all x,y in S, xyx is in the set {xyyx,yyxxy}.
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