Results 81 to 90 of about 584 (193)
, 1965 Characterizations for prime and semi-prime rings satisfying the right quotient conditions (see § 1) have been determined by A. W. Goldie in (4 and 5). A ring R is prime if and only if the right annihilator of every non-zero right ideal is zero. A natural
E. H. Feller, E. W. Swokowski
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phi-Classical Prime Submodules
, 2019 In this paper, all rings are commutative with nonzero identity. Let M be an R-module. A proper submodule N of M is called a classical prime submodule, if for each m is an element of M and elements a, b is an element of R, abm is an element of N implies ...
core
On 2-absorbing submodule elements in le-modules and its generalizations
, 2022 In this paper, we introduce the concept of 2-absorbing submodule elements in an le-module M as follows: a proper submodule element q in M is said to be 2-absorbing for any r,s is an element of R and m is an element of M if rsm <= q, then either rs is ...
ASLANKARAYİĞİT UĞURLU, EMEL
core
The total graph of a module with respect to multiplicative-prime subsets [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 Let M be a module over a commutative ring R and U a nonempty proper subset of M. In this paper, a generalization of the total graph T(Γ(M)), denoted by T(Γ_U (M)) is presented, where U is a multiplicative prime subset of M.
H. Heydarinejad Astaneh, R. Navidinia
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Annsemimaximal and Coannsemimaximal Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp ...
I. M.A. Hadi, , H. Y. Khalaf
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On graded classical B-2-absorbing submodules. [PDF]
Heliyon, 2022 Al-Zoubi K, Ali M, Alkhatib M.
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Phi Classical 1-Absorbing Prime Submodule
In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule N of M is a phi classical 1-absorbing prime submodule if whenever non units a,
Çelikel, Ece Yetkin +4 more
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Ideals as generalized prime ideal factorization of submodules
, 2023 For a submodule $N$ of an $R$-module $M$, a unique product of prime ideals in $R$ is assigned, which is called the generalized prime ideal factorization of $N$ in $M$, and denoted as ${\mathcal{P}}_M(N)$. But for a product of prime ideals ${{{\mathfrak{p}
Duraivel, T. +2 more
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On a generalization of prime submodules of a module over a commutative ring
, 2017 Let $R$ be a commutative ring with identity, and $n\geq 1$ an integer. A proper submodule $N$ of an $R$-module $M$ is called an $n$-prime submodule if whenever $a_1 \cdots a_{n+1}m\in N$ for some non-units $a_1, \ldots , a_{n+1}\in R$ and $m ...
Batool Zarei Jalal Abadi +1 more
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with identity and M be an unitary R-module. Let ï¤(M) be the set of all submodules of M, and ï¹: ï¤(M)  ï¤(M)  {ï¦} be a function. We say that a proper submodule P of M is ï¹-prime if for each r  R and
Nuhad S. AL-Mothafar +1 more
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