Results 51 to 60 of about 28,060 (225)

Chain conditions on composite Hurwitz series rings

Open Mathematics, 2017
In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
doaj   +1 more source

On AB5* modules with Noetherian dimension [PDF]

, 2022
Sayed Malek Javdannezhad, N. Shirali, Shirali, Nasrin   +2 more
openalex   +1 more source

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

Measures and dynamics on Noetherian spaces [PDF]

, 2012
We give an explicit description of all finite Borel measures on Noetherian topological spaces X, and characterize them as objects dual to a space of functions on X.
Gignac, William
core  

Noetherian Stable Domains

Journal of Algebra, 1998
\textit{R. B. Warfield} jun. [Math. Z. 107, 189-200 (1968; Zbl 0169.03602)] showed that for torsion-free abelian groups \(A\) and \(B\), when \(A\) has rank 1, the natural map \(\Hom(A,B)\otimes_{\text{End}(A)} A \to B\) is an embedding with image equal to the subgroup of \(B\) whose types are at least of type \(A\).
openaire   +2 more sources

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

α-TYPE SHORT MODULES [PDF]

مدل‌سازی پیشرفته ریاضی
In this paper, we first consider the concept of type Noetherian dimension of a module such as $M$, which is dual of the type Krull dimension, denoted by $\tndim\, (M)$, and defined to be the codeviation of the poset of the type submodules of $M$, then we
Nasrin Shirali, Sayed Malek Javdannezhad, Hooriy Kavoosi Ghafi   +2 more
doaj   +1 more source

On the existence of maximal orders

, 2011
We generalize the existence of maximal orders in a semi-simple algebra for general ground rings. We also improve several statements in Chapter 5 and 6 of Reiner's book concerning separable algebras by removing the separability condition, provided the ...
Yu, Chia-Fu
core   +1 more source

b‐Filter Grade of an Ideal a for Triangulated Categories

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let a and b be two homogeneous ideals in a graded‐commutative Noetherian ring R, and let X be an object in a compactly generated R‐linear triangulated category T. We introduce the notion of the b‐filter grade of a on X, denoted by f‐gradb,a,X, and provide several characterizations and bounds for this invariant. In addition, we explore the relationships
Li Wang, Hailong Yao, Caihui Lan, Xuexia Dai, Elena Guardo   +4 more
wiley   +1 more source

The small condition for modules with Noetherian dimension [PDF]

Journal of Mahani Mathematical Research
A module $M$ with Noetherian dimension is said to satisfy the small condition, if for any small submodule $S$ of $M$ the Noetherian dimension of $S$ is strictly less than the Noetherian dimension of $M$. For an Artinian  module $M$, this is equivalent to
Nasrin Shirali, Hooriya Kavoosi Ghafi, Sayed Malek Javdannezhad   +2 more
doaj   +1 more source