Semidirect products and wreath products of strongly -inverse monoids.

Zhang, Yufen; Li, Shizheng; Wang, Desheng

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Ideal-theoretic characterizations of valuation and Prüfer monoids

Franz Halter-Koch (2004)

Archivum Mathematicum

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It is well known that an integral domain is a valuation domain if and only if it possesses only one finitary ideal system (Lorenzen $r$ -system of finite character). We prove an analogous result for root-closed (cancellative) monoids and apply it to give several new characterizations of Prüfer (multiplication) monoids and integral domains.

Endomorphism monoids of free acts and 0-wreath products of monoids, I. Annihilator properties.

U. Knauer, A. Mikhalev (1980)

Semigroup forum

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On the wreath product of monoids

L. Skornjakov (1982)

Banach Center Publications

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Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

Víctor Blanco, Pedro A. García-Sánchez, Alfred Geroldinger (2010)

Actes des rencontres du CIRM

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Arithmetical invariants—such as sets of lengths, catenary and tame degrees—describe the non-uniqueness of factorizations in atomic monoids.We study these arithmetical invariants by the monoid of relations and by presentations of the involved monoids. The abstract results will be applied to numerical monoids and to Krull monoids.

Endomorphism monoids of free acts and 0-wreath products of monoids, II. Regularity.

U. Knauer, A. Mikhalev (1980)

Semigroup forum

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Chains of factorizations in weakly Krull domains

Alfred Geroldinger (1997)

Colloquium Mathematicae

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Regularity of the wreath product of monoids.

L.A. Skornjakov (1979)

Semigroup forum

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Displaying similar documents to “Semidirect products and wreath products of strongly π -inverse monoids.”

Ideal-theoretic characterizations of valuation and Prüfer monoids

Endomorphism monoids of free acts and 0-wreath products of monoids, I. Annihilator properties.

On the wreath product of monoids

Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

Endomorphism monoids of free acts and 0-wreath products of monoids, II. Regularity.

Chains of factorizations in weakly Krull domains

Regularity of the wreath product of monoids.

Displaying similar documents to “Semidirect products and wreath products of strongly $π$ -inverse monoids.”