Results 11 to 20 of about 90,465 (279)
On graded Jgr-classical 2-absorbing submodules of graded modules over graded commutative rings
Demonstratio Mathematica, 2021 Let G be an abelian group with identity ee. Let R be a G-graded commutative ring with identity 1, and MM be a graded R-module. In this paper, we introduce the concept of graded Jgr{J}_{gr}-classical 2-absorbing submodule as a generalization of a graded ...
Al-Zoubi Khaldoun, Alghueiri Shatha
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K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories [PDF]
Categories and General Algebraic Structures with Applications, 2022 We build on previous work on multirings ([17]) that providesgeneralizations of the available abstract quadratic forms theories (specialgroups and real semigroups) to the context of multirings ([10], [14]).
Kaique Roberto, Hugo Mariano
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Banach Journal of Mathematical Analysis, 2015 Consider a pseudo-$H$-space $E$ endowed with a separately continuous biadditive associative multiplication which induces a grading on $E$ with respect to an abelian group $G$. We call such a space a graded pseudo-$H$-ring and we show that it has the form $E = cl(U + \sum_j I_j)$ with $U$ a closed subspace of $E_1$ (the summand associated to the unit ...
Calderón Martín, Antonio Jesús +3 more
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Some properties of graded generalized 2-absorbing submodules
Demonstratio Mathematica, 2022 Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components.
Alghueiri Shatha, Al-Zoubi Khaldoun
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Class and rank of differential modules [PDF]
, 2006 A differential module is a module equipped with a square-zero endomorphism. This structure underpins complexes of modules over rings, as well as differential graded modules over graded rings.
C. Allday +21 more
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Graded Rings Associated with Factorizable Finite Groups
Mathematics, 2023 Let R be an associative ring with unity, X be a finite group, H be a subgroup of X, and G be a set of left coset representatives for the left action of H on X.
Mohammed M. Al-Shomrani, Najla Al-Subaie
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Brown-McCoy Radical in Restricted Graded Version
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Some conjectures related to the radical theory of rings are still open. Hence, the research on the radical theory of rings is still being investigated by some prominent authors.
Puguh Wahyu Prasetyo
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Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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On the union of graded prime ideals
Open Physics, 2016 In this paper we investigate graded compactly packed rings, which is defined as; if any graded ideal I of R is contained in the union of a family of graded prime ideals of R, then I is actually contained in one of the graded prime ideals of the family ...
Uregen Rabia Nagehan +2 more
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On equivalence of graded rings
International Journal of Mathematics and Mathematical Sciences, 1998 Let R=⊕g∈GRg be a G-graded ring. In this paper we define the homogeneousequivalence concept between graded rings. We discuss some properties of the G-graded rings and investigate which of these are preserved under homogeneous-equivalence maps ...
Mashhoor Refai, Sofyan Obiedat
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