Results 31 to 40 of about 252 (184)

Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring

Fuzzy Information and Engineering, 2015
In this paper, we establish that the Lasker–Noether theorem for a commutative ring may be generalized for a commutative semiring. We produce an example of an ideal in a Noetherian semiring which cannot be expressed as finite intersection of primary ...
S. Kar, S. Purkait, B. Davvaz
doaj   +1 more source

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
doaj   +1 more source

Duality in Noetherian rings [PDF]

Proceedings of the American Mathematical Society, 1961
Since we shall make such heavy use of this theorem and the techniques used in its proof, we shall now make the standing assumptions that every ring we consider will be both right and left Noetherian and that every module will be finitely generated. The notation and terminology will follow that of Cartan and Eilenberg [2] although we shall usually drop ...
openaire   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib, Oubouhou El Houssaine, Celikel Ece Yetkin   +2 more
doaj   +1 more source

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
doaj   +1 more source

On the annihilators of generalized local cohomology modules [PDF]

Journal of Mahani Mathematical Research
Let ${\frak{a}}$ 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
doaj   +1 more source

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

When do pseudo‐Gorenstein rings become Gorenstein?

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
wiley   +1 more source

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
doaj   +1 more source