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Rigid left Noetherian rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We prove thatany rigid left Noetherian ring is either a domain or isomorphic to some ring of integers modulo a prime power pn.
openaire +5 more sources
The DGA of planar loops when 2n=4$2n=4$
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract The DGA of planar loops is a pictorial chain complex introduced in a recent paper of the author, Boyd, Randal‐Williams and Sroka, where a minimal model for it was given. In the first non‐trivial case, 2n=4$2n=4$, we give a new model which incorporates two natural ‘reflection’ involutions, as well as a more explicit description of the existing ...
Guy Boyde
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Invariant algebras and completely reducible representations [PDF]
, 1994 We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core
A generalization of a theorem of Faith and Menal and applications
International Journal of Mathematics and Mathematical Sciences, 2000 In 1995, Faith and Menal have established the V -ring theorem which gives a characterization of a V-ring. In this paper, we generalize this theorem to V-modules and consider some applications for Noetherian self-cogenerators.
Kentaro Tsuda
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
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Ideals contracted from a Noetherian extension ring [PDF]
, 1982 Let R be a commutative ring with identity such that for each ideal A of R, there exists a Noetherian unitary extension ring T(A) of R such that A is contracted from T(A). We investigate the structure of R. The context in which this topic has usually been
Heinzer, William, Gilmer, Robert
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Radicals in the class of compact right topological rings
Applied General Topology, 2014 We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.
Mihail Ursul, Adela Tripe
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Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal [PDF]
Journal of Mahani Mathematical Research, 2017 Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian.
Esmaeil Rostami
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Torsion pairs via the Ziegler spectrum
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel +2 more
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On the annihilators of generalized local cohomology modules [PDF]
Journal of Mahani Mathematical ResearchLet ${\frak{a}}$ be an ideal of Noetherian ring $R$ and $M$, $N$ be two finitely generated $R$-modules. In this paper, we obtain some results about the annihilators of top generalized local cohomology modules.
Shahram Rezaei
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