Results 121 to 130 of about 2,667 (226)
, 2023 In this thesis we study a special class of rings called Noetherian rings. Theserings satisfy certain finite conditions on their ideals and appear in manydifferent fields of algebra. With an emphasis on commutative Noetherianrings we examine their structure and properties, their relation to anotherspecial class of rings called Artinian rings and the ...
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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Mon Hefte Math, 2023 Fadinger-Held V, Frisch S, Windisch D.
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The Existence of Gorenstein Injective Envelopes
Journal of Mathematical Extension, 2015 Let R be a commutative Noetherian ring. We prove that every R-module N of finite Gorenstein injective dimension has a Gorenstein injective envelope ψ : N → G where injective dimension of Ker ψ is finite and ψ is injective.
Z. Heidarian
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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Some Properties of Noetherian Rings [PDF]
, 1986 This paper is an investigation of several basic properties of noetherian rings. Chapter I gives a brief introduction, statements of definitions, and statements of theorems without proof.
Vaughan, Stephen N. (Stephen Nick)
core
Do Noetherian Modules Have Noetherian Basis Functions? [PDF]
, 2008 . In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove the reverse implication for countable and strongly discrete modules.
Peter Schuster
core
Matroid connectivity and singularities of configuration hypersurfaces. [PDF]
Lett Math Phys, 2021 Denham G, Schulze M, Walther U.
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A Characterization of Serre Classes of Reflexive Modules Over a Complete Local Noetherian Ring [PDF]
, 2014 Serre classes of modules over a ring R are important because they describe relationships between certain classes of modules and sets of ideals of R. We characterize the Serre classes of three different types of modules.
Monday, Casey R
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ON COMMUTATIVE GELFAND RINGS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 A ring is called a Gelfand ring (pm ring ) if each prime ideal is contained in a unique maximal ideal. For a Gelfand ring R with Jacobson radical zero, we show that the following are equivalent: (1) R is Artinian; (2) R is Noetherian; (3) R has a finite ...
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