Wreath products of acts over monoids: II. torsion free and divisible acts

Kilp, Mati; Knauer, Ulrich; Mikhalev, A.V.

doi:10.1016/0022-4049(89)90050-9

Journal of Pure and Applied Algebra

1989

DOI: 10.1016/0022-4049(89)90050-9

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Wreath products of acts over monoids: II. torsion free and divisible acts

Mati Kilp

Ulrich Knauer

A.V. Mikhalev

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Cited by 4 publications

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Divisible, Torsion-Free, and Act Regular Generalized Act Wreath Products

Knauer

2001

Journal of Algebra

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We construct generalized act wreath products over wreath products of a monoid with a small category. This construction generalizes wreath products of acts over wreath products of monoids, arbitrary acts over their endomorphism monoids, and graphs as acts over their monoids of strong endomorphisms. We characterize divisible, torsion-free, and act regular generalized act wreath products and apply the results in particular to prove the respective endoproperties for projective acts.

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Divisible, Torsion-Free, and Act Regular Generalized Act Wreath Products

Knauer

2001

Journal of Algebra

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Preface

2000

J Math Sci

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Wreath Product of Set-Valued Functors and Tensor Multiplication

Laan

2005

Semigroup Forum

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Wreath products of acts over monoids: II. torsion free and divisible acts

Cited by 4 publications

References 5 publications

Divisible, Torsion-Free, and Act Regular Generalized Act Wreath Products

Divisible, Torsion-Free, and Act Regular Generalized Act Wreath Products

Preface

Wreath Product of Set-Valued Functors and Tensor Multiplication

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