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Graded 1-Absorbing Prime Ideals over Non-Commutative Graded Rings

Axioms
In this article, we define and study graded 1-absorbing prime ideals and graded weakly 1-absorbing prime ideals in non-commutative graded rings as a new class of graded ideals that lies between graded prime ideals (graded weakly prime ideals) and graded ...
Rashid Abu-Dawwas, Azzh Alshehry
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What Primary-Grade Students Say About Their Ideal Future Homes

The Journal of Social Studies Research, 2001
As part of a larger study of children's knowledge and thinking about the topic of shelter, individual interviews were conducted with 216 K-3 students, stratified according to grade, socioeconomic status, achievement level, and gender. The interviews included questions about the physical characteristics and geographical locations of the types of homes ...
Jere Brophy, Janet Alleman
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Graded quasi-S-primary ideals

Asian-European Journal of Mathematics
Let [Formula: see text] be a group, [Formula: see text] a [Formula: see text]-graded commutative ring with nonzero unity [Formula: see text] and [Formula: see text] a multiplicative subset of [Formula: see text]. This paper introduces the concept of graded quasi-[Formula: see text]-primary (respectively, graded weakly quasi-[Formula: see text]-primary)
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On Graded 2-Absorbing Quasi Primary Ideals

2022
In this article, we introduce the concept of graded 2-absorbing quasi primary ideal which is a generalization of graded prime ideal. In the first part of the paper, we give many characterizations of these classes of ideals. In the second part, we study idealization of graded modules. In particular, we investigate graded radical in the idealization of a
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On graded weakly primary ideals

2005
Summary: Let \(G\) be an arbitrary monoid with identity \(e\). Weakly prime ideals in a commutative ring with non-zero identity have been introduced and studied in \textit{D. D. Anderson} and \textit{R. Smith}, Houston J. Math. 29, 831--840 (2003; Zbl 1086.13500)].
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On Graded S-Primary Ideals

Mathematics, 2021
Azzh Alshehry
exaly  

ON GRADED STRONGLY 1-ABSORBING PRIMARY IDEALS AND GRADED 2-ABSORBING I-PRIMARY IDEALS

Given a group G with identity element e and a G-graded commutative ring R with unity 1. This paper introduces a new concept, namely, graded strongly 1-absorbing primary ideals, which is a subclass of the graded 1-absorbing primary ideals. A proper graded ideal I of R is said to be a graded strongly 1-absorbing primary ideal of R if whenever non-unit ...
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Graded weakly prime ideals of non-commutative rings

Communications in Algebra, 2021
Rashid Abu-Dawwas, Azzh Saad Alshehry
exaly  

Induced Matchings and the v-Number of Graded Ideals

Mathematics, 2021
Rafael H Villarreal, Enrique Reyes
exaly  

Graded powerful ideals in a graded integral domain

Communications in Algebra, 2021
Mahdou Najib, Abdelkbir Riffi
exaly