The study of commutative semigroups with greatest group-homomorphism
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- by Takayuki Tamura and Howard B. Hamilton PDF
- Trans. Amer. Math. Soc. 173 (1972), 401-419 Request permission
Abstract:
This paper characterizes commutative semigroups which admit a greatest group-homomorphism in various ways. One of the important theorems is that a commutative semigroup $S$ has a greatest group-homomorphic image if and only if for every $a \in S$ there are $b,c \in S$ such that $abc = c$. Further the authors study a relationship between $S$ and a certain cofinal subsemigroup and discuss the structure of commutative separative semigroups which have a greatest group-homomorphic image.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 173 (1972), 401-419
- MSC: Primary 20M10
- DOI: https://doi.org/10.1090/S0002-9947-1972-0315032-9
- MathSciNet review: 0315032