Semigroups satisfying variable identities |
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Authors: | Mohan S Putcha Julian Weissglass |
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Institution: | (1) University of California, Santa Barbara, 93106 Santa Barbara, California |
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Abstract: | The purpose of this note is to generalize a theorem of Tamura’s 3] providing a self-contained and, we think, more elementary
proof than Tamura’s in that it avoids using the theory of contents. Tamura’s result states that a semigroup S satisfies an
identify xy=f(x,y) with f(x,y) a word of length greater than 2 which starts with y and ends in x if and only if S is an inflation
of a semilattice of groups satisfying the same identity. We investigate semigroups as in Tamura’s Theorem, except that we
permit f(x,y) to vary with x and y. |
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Keywords: | |
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