Results 121 to 130 of about 709,548 (225)
A codimension theorem for pseudo-Noetherian rings
, 1975 M. Auslander and M. Bridger have shown that the depth of a Noetherian local ring is the sum of the Gorenstein dimension and the depth of any given nonzero finitely generated module of finite Gorenstein dimension.
Kenneth McDowell
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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 ...
doaj
Zariski density of crystalline points. [PDF]
Proc Natl Acad Sci U S A, 2023 Böckle G, Iyengar A, Paškūnas V.
europepmc +1 more source
Noncommutative piecewise Noetherian rings
, 2011 The concept of reduced rank has been a useful tool in studying Noetherian rings, orders in Artinian rings, and rings with Krull dimension. These classes of rings have been generalized, in the commutative setting, to a class of rings called piecewise ...
Pearson, Abigail C.
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Sifat rantai naik pada modul r-noetherian serta keterkaitan modul r-noetherian dengan modul noetherian dan modul hampir noetherian [PDF]
Modules are algebraic structures formed from Abelian groups and rings as scalars. A module is a Noetherian module if it satisfies the ascending chain condition on its submodules. An R-module M is called an almost Noetherian module if every true submodule
Az-Zakiyah, Qurratul Aini +1 more
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Filter Regular Sequence and Generalized Local Cohomology with Respect to a Pair of Ideals
Journal of Mathematical Extension, 2012 Let (R, m) be a Noetherian local ring. Two notions of filter regular sequence and generalized local cohomology module with respect to a pair of ideals are introduced, and their properties are studied.
F. Dehghani-Zadeh
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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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Artinian ideals in Noetherian rings
, 1975 We show that in a right and left Noetherian ring two-sided ideals which are Artinian as left submodules are also Artinian as right submodules.
T. H. Lenagan
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Locally noetherian commutative rings
, 1971 This paper centers around the theorem that a commutative ring R R is noetherian if every R P , P {R_P},P prime, is noetherian and every finitely ...
Jack Ohm, William Heinzer
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