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Permutative Semigroups Whose Congruences Form a Chain ∗
Semigroups whose congruences form a chain are often termed ∆-semigroups. The commutative ∆-semigroups were determined by Schein and by Tamura. A natural generalization of commutativity is permutativity: a semigroup is permutative if it satisfies a non-identity permutational identity. We completely determine the permutative ∆-semigroups. It turns out that there are only six noncommutative exampl...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1877
ISSN: 1802-114X
DOI: 10.21136/cpmf.1877.121684