Publication: Commutative graded-n-coherent and graded valuation rings
Loading...
Files
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Let R = ⊕α∈GRα be a commutative ring with unity graded by an arbitrary grading
commutative monoid G. For each positive integer, the notions of a graded-n-coherent
module and a graded-n-coherent ring are introduced. In this paper many results are
generalized from n-coherent rings to graded-n-coherent rings. In the last section, we
provide necessary and sufficient conditions for the graded trivial extension ring to be a
graded-valuation ring
Description
Keywords
Matematik, Değişmeli Halkalar ve Cebirler, Temel Bilimler, Mathematics, Commutative Rings and Algebras, Natural Sciences, Temel Bilimler (SCI), Doğa Bilimleri Genel, ÇOK DİSİPLİNLİ BİLİMLER, MATEMATİK, Natural Sciences (SCI), NATURAL SCIENCES, GENERAL, MATHEMATICS, MULTIDISCIPLINARY SCIENCES, Multidisciplinary, Discrete Mathematics and Combinatorics, Geometry and Topology, Logic, Physical Sciences, coherent rings and modules, n-coherent rings and modules, graded modules and rings, graded-coherent rings and modules, graded-valuation rings, graded trivial extension ring
Citation
Assarrar A., Mahdou N., Tekir Ü., Koç S., "Commutative graded-n-coherent and graded valuation rings", HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, ss.1-11, 2022