Results 81 to 90 of about 451,522 (183)
On Graded Jgr-Prime Submodules
In this paper, we obtain several results concerning graded Jgr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded Jgr-prime submodules and results related to residual of graded Jgr-prime submodules. Also,
M. Alnimer, K. Al-Zoubi, M. Al-Dolat
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Prime Principal Right Ideal Rings
Let R be a commutative ring with unity $1\in R$. In this article, we introduce the concept of prime principal right ideal rings (\textbf{PPRIR}), A prime ideal P of R is said to be prime principal right ideal (\textbf{PPRI}) is given by $P =\{ ar : r\in R\}$ for some element a.
Al-Shorman, Tamem, Bataineh, Malik
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Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain
Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain. Let R be any ring withidentity 1, σ be an automorphism of R and δ be a left σ-derivation. The skew polynomial ring over R in anindeterminate x is the set of polynomials anxn
Amir Kamal Amir
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Approximately Prime Rings and Prime Ideals
9 pages, 1 ...
Almahariq, Maram +2 more
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A Study of Generalized Differential Identities via Prime Ideals
Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution ...
Ali Yahya Hummdi +3 more
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On generalized Dedekind prime rings
\textit{D. D. Anderson} and \textit{B. G. Kang} [J. Algebra 122, No. 2, 323-336 (1989; Zbl 0698.13004)] and \textit{M. Zafrullah} [Mathematika 33, 285-295 (1986; Zbl 0613.13001)] investigated integral domains \(R\) satisfying \((AB)^{-1}=A^{-1} B^{-1}\) for all nonzero fractional ideals \(A\) and \(B\) of \(R\).
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S. A. Amitsur, Lance W. Small
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The problem of characterizing zero product preserving maps has been studied by several authors in many different settings. Recently such maps have been considered on prime rings with nontrivial idempotents. Most of the known results assume that the map in question is bijective.
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