Primary ideals of finitely generated commutative cancellative monoids
نویسندگان
چکیده
منابع مشابه
Primary ideals of finitely generated commutative cancellative monoids
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 کاملPrincipal Ideals of Finitely Generated Commutative Monoids
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.
متن کاملPresentations of Finitely Generated Submonoids of Finitely Generated Commutative Monoids
We give an algorithmic method for computing a presentation of any finitely generated submonoid of a finitely generated commutative monoid. We use this method also for calculating the intersection of two congruences on Np and for deciding whether or not a given finitely generated commutative monoid is t-torsion free and/or separative. The last section is devoted to the resolution of some simple ...
متن کاملPresentations of finitely generated cancellative commutative monoids and nonnegative solutions of systems of linear equations
Varying methods exist for computing a presentation of a finitely generated commutative cancellative monoid.We use an algorithm of Contejean andDevie [An efficient incremental algorithm for solving systems of linear diophantine equations, Inform. andComput. 113 (1994) 143–172] to show how these presentations can be obtained from the nonnegative integer solutions to a linear system of equations. ...
متن کاملArchimedean Components of Finitely Generated Commutative Monoids
We introduce the concept of presentation for the Archimedean components of finitely generated commutative monoids. Some properties like being cancellative, torsion freeness and separativity are studied under this new point of view.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2001
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00321-4