Results 81 to 90 of about 2,667 (226)
The Noetherian property of invariant rings [PDF]
, 2022 honors thesisCollege of ScienceMathematicsAnurag K. SinghA Noetherian ring is a ring that has the ascending chain condition, which means that any ascending chain of ideals of the ring must stabilize after a finite number of steps.
Giokas, Annie
core
On formal local homology modules [PDF]
Journal of Hyperstructures, 2015 Throughout R is a commutative Noetherian ring and a an ideal of R. In this paper we study formal homology modules of Artinian R-modules. We obtain an expression of the formal homology in terms of a certain local homology module.
M.H. Bijan-Zadeh
doaj +1 more source
The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Noetherian properties in monoid rings [PDF]
, 2003 Let R be a commutative unitary ring and let M be a commutative monoid. The monoid ring R[M] is considered as an M-graded ring where the homogeneous elements of degree s are the elements of the form aXs, a∈R, s∈M.
Rush, David E.
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Some properties of graded generalized 2-absorbing submodules
Demonstratio Mathematica, 2022 Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components.
Alghueiri Shatha, Al-Zoubi Khaldoun
doaj +1 more source
Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source
Certain Artinian Rings are Noetherian [PDF]
, 1972 Throughout this paper the word “ring” will mean an associative ring which need not have an identity element. There are Artinian rings which are not Noetherian, for example C(p∞) with zero
Robert C. Shock
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On hereditary rings and NoetherianV-rings [PDF]
Pacific Journal of Mathematics, 1982 The purpose of this paper is to examine conditions under which (1) a left noetherian left F-ring is left hereditary and (2) a left noetherian left F-ring is a two sided noetherian F-ring. For (1), left noetherian left F-rings which satisfy the restricted left minimum (RLM) condition are examined.
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Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
Bi-artinian noetherian rings [PDF]
Glasgow Mathematical Journal, 2001 A noetherian ring R satisfies the descending chain condition on two-sided ideals (“is bi-artinian”) if and only if, for each prime P ∈ spec(R), R/P has a unique minimal ideal (necessarily idempotent and left-right essential in R/P). The analogous statement for merely right noetherian rings is false, although our proof does not use the full ...
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