منابع مشابه
extensions, minimality and idempotents of certain semigroup compactifications
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15 صفحه اولThe semigroup generated by the idempotents of a partition monoid
We study the idempotent-generated subsemigroup of the partition monoid. In the finite case this subsemigroup consists of the identity and all the singular partitions. In the infinite case, the subsemigroup is described in terms of certain parameters that measure how far a partition is from being a permutation. As one of several corollaries, we deduce Howie’s description from 1966 of the semigro...
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A semigroup is a set of elements to which is related an operation usually called multiplication and an equivalence relation, such that the set is closed and associative relative to the operation. We shall discuss, briefly, finite semigroups which are uniquely factorable in the same sense as the multiplicative semigroup of all nonzero integers. Clifford' defined an arithmetic in such a way as to...
متن کاملOn the Irreducible Representations of a Finite Semigroup
Work of Clifford, Munn and Ponizovskĭı parameterized the irreducible representations of a finite semigroup in terms of the irreducible representations of its maximal subgroups. Explicit constructions of the irreducible representations were later obtained independently by Rhodes and Zalcstein and by Lallement and Petrich. All of these approaches make use of Rees’s theorem characterizing 0-simple...
متن کاملCohen–macaulay Quotients of Normal Semigroup Rings via Irreducible Resolutions
For a radical monomial ideal I in a normal semigroup ring k[Q], there is a unique minimal irreducible resolution 0 → k[Q]/I → W 0 → W 1 → · · · by modules W i of the form ⊕ j k[Fij ], where the Fij are (not necessarily distinct) faces of Q. That is, W i is a direct sum of quotients of k[Q] by prime ideals. This paper characterizes Cohen–Macaulay quotients k[Q]/I as those whose minimal irreducib...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1997
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-125-1-97-99