Volume 10 (2022-2023)
Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
Number of Articles: 6
SOME RESULTS ON STRONGLY PRIME SUBMODULES
Volume 1, Issue 2 , January 2014, Pages 79-89
Abstract
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of $M$ is called strongly prime submodule if $(P + Rx : M)y P$ for $x, y M$, implies that $x P$ or $y P$. In this paper, we study more properties of strongly prime submodules. It is shown that a ... Read MoreA NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS
Volume 1, Issue 2 , January 2014, Pages 91-100
Abstract
In this paper, by using elementary tools of commutative algebra, we prove the persistence property for two especial classes of rings. In fact, this paper has two main sections. In the first main section, we let $R$ be a Dedekind ring and $I$ be a proper ideal of $R$. We prove that if $I_1,\ldots,I_n$ ... Read MoreZARISKI-LIKE SPACES OF CERTAIN MODULES
Volume 1, Issue 2 , January 2014, Pages 101-115
Abstract
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. The primary-like spectrum $Spec_L(M)$ is the collection of all primary-like submodules $Q$ such that $M/Q$ is a primeful $R$-module. Here, $M$ is defined to be RSP if $rad(Q)$ is a prime submodule for all $Q\in Spec_L(M)$. This ... Read MoreCLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM
Volume 1, Issue 2 , January 2014, Pages 117-133
Abstract
In this paper, a useful classification of all Lie subalgebras of a given Lie algebra up to an inner automorphism is presented. This method can be regarded as an important connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, ... Read MoreLattice of weak hyper K-ideals of a hyper K-algebra
Volume 1, Issue 2 , January 2014, Pages 135-147
Abstract
In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure ... Read MoreQuasi-Primary Decomposition in Modules Over Proufer Domains
Volume 1, Issue 2 , January 2014, Pages 149-160