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Titlebook: Commutative Semigroups; P. A. Grillet Book 2001 Springer Science+Business Media Dordrecht 2001 DEX.Finite.Lattice.cohomology.commutative p

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楼主: 忠诚
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Lebensphasen: Kindheit, Jugend, Alterral features including archimedean components, subdirect decompositions, .-classes, and extended Schützenberger functors. Its relationship to extension groups is less obvious and is shown in Section XIII.2. A similar construction was obtained by the author for finite congruences [1996C], then generalized to complete group-free congruences [2001C].
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Other Resultss which are not covered by other chapters. As noted in the Preface, some subjects have been omitted: partially ordered semigroups; varieties and pseudovarieties; factorization theory; and semigroup rings.
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Nilsemigroups]; a shorter account is given in Grillet [1995]. Unlike previous constructions for these semigroups, this is a global construction with a very geometric character, in which nilmonoids are obtained as quotient of free commutative monoids by suitable congruences. It accounts well for various structura
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Group-Free Semigroupsare a particular case. This construction bypasses the difficulties, noted earlier, in reassembling archimedean components and Ponizovsky factors, and accounts well for the main structural features of these semigroups (idempotents, ℋ-classes, archimedean components, and Ponizovsky factors); its relat
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Subcomplete Semigroupss, subelementary semigroups, and finitely generated semigroups are particular cases. In particular, this constructs all congruences on finitely generated free commutative monoids. The construction uses Ponizovsky families to generalize the results in Chapter X and relates smoothly to related structu
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