Volume 11, Issue 2
مرور بر اساس
ارسال های اخیر
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Some results of the minimum edge dominating energy of the Cayley graphs for the finite group Sn
(University of Guilan, 2023-12-01)Let $\Gamma$ be a finite group and $S$ be a non-empty subset of $\Gamma$. A Cayley graph of the group $\Gamma$, denoted by $Cay(\Gamma, S)$ is defined as a simple graph that its vertices are the elements of $\Gamma$ ...
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On lifting Baer modules
(University of Guilan, 2023-12-01)We introduce the notion of lifting Baer modules, as a generalization of both Baer and lifting modules and give some of their properties. A module $M$ is called lifting Baer if right annihilator of a left ideal of ${\rm ...
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Study of the structure of quotient rings satisfying algeraic identities
(University of Guilan, 2023-12-01)Assuming that $\mathcal{R}$ is an associative ring with prime ideal $P$, this paper investigates the commutativity of the quotient ring $\mathcal{R}/P$, as well as the possible forms of generalized derivations satisfying ...
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Some results on nilpotent Lie algebras
(University of Guilan, 2023-12-01)Let $L$ be a finite dimensional Lie algebra over an arbitrary field $F$. In this paper, we prove that the class of finite nilpotent(solvable) Lie algebras is an example of formation. Furthermore, we conclude that every ...
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On weakly nil-semicommutative rings
(University of Guilan, 2023-12-01)We introduce the concept of weakly nil - semicommutative or WNSC rings and provide a condition that establishes the equivalence of WNSC rings to three generalised classes of semicommutative rings. We prove the equivalence ...
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On CP-frames and the Artin-Rees property
(University of Guilan, 2023-12-01)The set $\mathcal{C}_{c}(L)=\Big\{\alpha\in\mathcal{R}L : \big\vert\{ r\in\mathbb{R} : \coz(\alpha-{\bf r})\ne 1\big\}\big\vert\leq\aleph_0 \Big\}$ is a sub-$f$-ring of $\mathcal{R}L$, that is, the ring of all ...
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Some applications of $k$-regular sequences and arithmetic rank of an ideal with respect to modules
(University of Guilan, 2023-12-01)Let $R$ be a commutative Noetherian ring with identity, $I$ be an ideal of $R$, and $M$ be an $R$-module. Let $k\geqslant -1$ be an arbitrary integer. In this paper, we introduce the notions of $\Rad_M(I)$ and ...
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On left r-clean bimodules
(University of Guilan, 2023-12-01)Let $R$ be an associative ring with identity and $M$ an $R$-bimodule. We introduce the generalization of $r$-clean rings called left $r$-clean $R$-bimodules, defined without their endomorphism rings. An $R$-bimodule ...
