Prime uniserial modules and rings
M Behboodi, Z Fazelpour - Journal of Algebra and Its Applications, 2019 - World Scientific
… We define prime uniserial modules as a generalization of uniserial modules. We say that
an R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …
an R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …
[图书][B] Uniform modules over Goldie prime serial rings
F Guerriero - 1997 - Springer
… module. We also show that if R is Goldie prime serial, then V is uniserial if and only if Ve is
uniserial … of a uniform injective module, over a ;oldie prime serial ring, is equivalent to the …
uniserial … of a uniform injective module, over a ;oldie prime serial ring, is equivalent to the …
[PDF][PDF] Simple modules over hereditary Noetherian prime rings
KR Goodearl, RB Warfield Jr - Journal of Algebra, 1979 - core.ac.uk
… generated (R/I)- modules are direct sums of uniserial modules. From this one could derive
a … knew that all simple R-modules were unfaithful (ie, for bounded HNP rings). However, we …
a … knew that all simple R-modules were unfaithful (ie, for bounded HNP rings). However, we …
[PDF][PDF] Uniform modules over serial rings
BJ MCJLLER - Journal of Algebra, 1991 - academia.edu
… module over a serial ring with Krull dimension is uniserial. … a single uniform module over a
serial ring is uniserial, appear … semiprime right serial ring is a direct sum of prime rings, and …
serial ring is uniserial, appear … semiprime right serial ring is a direct sum of prime rings, and …
Rings all of whose prime serial modules are serial
… of “prime uniserial modules” and “prime serial modules” have … in [Prime uniserial modules
and rings, submitted; Noetherian … R-module M is prime uniserial (℘-uniserial) if any two prime …
and rings, submitted; Noetherian … R-module M is prime uniserial (℘-uniserial) if any two prime …
[PDF][PDF] Modules over bounded Dedekind prime rings
AA Tuganbaev - Sbornik: Mathematics, 2001 - researchgate.net
… A module is said to be uniserial if any two of its submodules are comparable with respect
to inclusion. A direct sum of uniserial modules is called a serial module. For a ring A its …
to inclusion. A direct sum of uniserial modules is called a serial module. For a ring A its …
Noetherian rings whose modules are prime serial
M Behboodi, Z Fazelpour - Algebras and Representation Theory, 2017 - Springer
… rings have the property that every finitely generated module is ℘-serial?” Most recently, in our
paper, Prime uniserial modules and rings (… in the context of commutative rings. The goal of …
paper, Prime uniserial modules and rings (… in the context of commutative rings. The goal of …
[PDF][PDF] Serial rings
D Eisenbud, P Griffith - Journal of Algebra, 1971 - Citeseer
… Are Dedekind prime rings precisely the hereditary noetherian prime rings whose factor …
the structure of a uniserial module over a serial ring A more closely. Any uniserial A-module is a …
the structure of a uniserial module over a serial ring A more closely. Any uniserial A-module is a …
Study on uniserial and serial rings and modules
A Uddin - 2016 - lib.buet.ac.bd
… rings. Some characterizations of Noetherian (resp. Artinian) uniserial and serial modules over
endomorphism rings … PJ ⊆ A ring R is a prime ring if RR is a prime module, ie, 0 is a prime …
endomorphism rings … PJ ⊆ A ring R is a prime ring if RR is a prime module, ie, 0 is a prime …
[图书][B] Semidistributive modules and rings
AA Tuganbaev - 2012 - books.google.com
… A with respect to its maximal ideals are uniserial rings [80] (in … uniserial and serial modules
and rings (eg, valuation rings), … P of a ring A is a prime ideal if the ring A/P is a prime ring (ie …
and rings (eg, valuation rings), … P of a ring A is a prime ideal if the ring A/P is a prime ring (ie …
相关搜索
- hereditary noetherian prime rings
- uniform modules serial rings
- dedekind prime rings
- prime modules pullback rings
- generalized uniserial rings
- prime modules dense submodules
- completely faithful modules simple noetherian rings
- prime submodules noetherian modules
- serial modules endomorphism rings
- projective modules hereditary noetherian prime