Results 21 to 30 of about 68 (56)

On graded weakly prime submodules

International Mathematical Forum, 2006
Summary: Let \(G\) be a monoid with identity \(e\), and let \(R\) be a \(G\)-graded commutative ring. Graded weakly prime ideals in a \(G\)-graded commutative ring have been introduced and studied in [\textit{S. E. Atani}, On graded weakly primary ideals, quasi-groups and related systems (to appear)]. Here we study graded weakly prime submodules of a \(
openaire   +1 more source

Zariski topology on the spectrum of graded pseudo prime submodules

Boletim da Sociedade Paranaense de Matemática, 2021
In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings. We study the Zariski topology on the graded spectrum of graded pseudo prime submodules.
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Notes on the Graded Radical of Graded Submodules [PDF]

, 2011
Let G be a group with identity e, and let R be a G-graded commutative ring, and let M be a graded R-module. In general, the graded radical of a graded primary submodule is not graded prime.
Farkhonde Farzalipour, Peyman Ghiasvand
core  

Generalized $F$-signatures of the rings of invariants of finite group schemes

, 2023
Let $k$ be a perfect field of prime characteristic $p$, $G$ a finite group scheme over $k$, and $V$ a finite-dimensional $G$-module. Let $S=\mathop{\mathrm{Sym}}V$ be the symmetric algebra with the standard grading.
Hashimoto, Mitsuyasu, Kobayashi, Fumiya
core  

The hit problem for symmetric polynomials over the Steenrod algebra

, 2002
We cite [18] for references to work on the hit problem for the polynomial algebra P(n) = [open face F]2[x1, ;…, xn] = [oplus B: plus sign in circle]d[gt-or-equal, slanted]0 Pd(n), viewed as a graded left module over the Steenrod algebra [script A] at the
WOOD, R. M. W., JANFADA, A. S.
core   +1 more source

On graded 2-classical prime submodules of graded modules over graded commutative rings

Proyecciones (Antofagasta), 2019
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded 2-classical prime submodules. Various properties of graded 2-classical prime submodules are considered.
Khaldoun Falah Al-Zoubi, Farah Al-Turman
openaire   +3 more sources

Graded Classical Weakly Prime Submodules Over Non-Commutative Graded Rings

Tatra Mountains Mathematical Publications
Abstract The goal of this article is to propose and examine the notion of graded classical weakly prime submodules over non-commutative graded rings which is a generalization of the concept of graded classical weakly prime submodules over commutative graded rings.
Habeb, Jebrel M., Abu-Dawwas, Rashid
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On graded 1-absorbing prime submodules

Journal of Discrete Mathematical Sciences and Cryptography, 2023
Let G be a group with identity e, R be a commutative G-graded ring with unity 1 and M be a G-graded unital R-module. In this article, we introduce the concept of graded 1-absorbing prime submodule. A proper graded R-submodule N of M is said to be a graded 1-absorbing prime R-submodule of M if for all non-unit homogeneous elements x, y of R and ...
Rashid Abu-Dawwas
exaly   +2 more sources

Graded Prime Submodules over Non-Commutative Rings

Vietnam Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rashid Abu-Dawwas, Malik Bataineh
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ON GRADED N-PRIME SUBMODULE OF A GRADED FRACTION MODULE

Far East Journal of Mathematical Sciences, 2017
Indah Emilia Wijayanti, Sri Wahyuni
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