Flatness properties of acts over commutative, cancellative monoids
نویسندگان
چکیده
منابع مشابه
-torsion free Acts Over Monoids
In this paper firt of all we introduce a generalization of torsion freeness of acts over monoids, called -torsion freeness. Then in section 1 of results we give some general properties and in sections 2, 3 and 4 we give a characterization of monoids for which this property of their right Rees factor, cyclic and acts in general implies some other properties, respectively.
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Our aim in this paper is to study the concept of stability for acts over monoids and in the process develop a more coherent framework for some of the current techniques and construction used in the homological classification of monoids. We also present some new results relating to torsion free acts over monoids and to the embeddability of semigroup amalgams.
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We give a characterization of primary ideals of finitely generated commutative monoids and in the case of finitely generated cancellative monoids we give an algorithmic method for deciding if an ideal is primary or not. Finally we give some properties of primary elements of a cancellative monoid and an algorithmic method for determining the primary elements of a finitely generated cancellative ...
متن کامل-torsion free acts over monoids
in this paper firt of all we introduce a generalization of torsion freeness of acts over monoids, called -torsion freeness. then in section 1 of results we give some general properties and in sections 2, 3 and 4 we give a characterization of monoids for which this property of their right rees factor, cyclic and acts in general implies some other properties, respectively.
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ژورنال
عنوان ژورنال: Mathematika
سال: 1999
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579300007592