Results 31 to 40 of about 16,887 (181)
Zariski-Like Topology on S-Quasi-Primary Ideals of a Commutative Ring
Journal of Mathematics, 2022 Let R be a commutative ring with nonzero identity and, S⊆R be a multiplicatively closed subset. An ideal P of R is called an S-quasi-primary ideal if P∩S=∅ and there exists an (fixed) s∈S and whenever ab∈P for a,b∈R then either sa∈P or sb∈P.
Bana Al Subaiei, Noômen Jarboui
doaj +1 more source
On minimal spectrum of multiplication lattice modules [PDF]
Mathematica Bohemica, 2019 We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi(M)$ of minimal prime elements of $M$ and study several properties of it.
Sachin Ballal, Vilas Kharat
doaj +1 more source
Zariski Closures and Subgroup Separability [PDF]
, 2016 The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generated subgroup, there is a finite dimensional representation of the free or ...
Louder, Larsen +2 more
core +2 more sources
Residual Division Graph of Lattice Modules
Journal of Mathematics, 2022 Let L be a multiplicative lattice and M be a lattice module over L. In this paper, we assign a graph to M called residual division graph RG(M) in which the element N∈M is a vertex if there exists 0M≠P∈M such that NP=0M and two vertices N1,N2 are adjacent
Ganesh Gandal +2 more
doaj +1 more source
Control subgroups and birational extensions of graded rings
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H)↪R, where R(H)=⊕σ∈HRσ, is a ...
Salah El Din S. Hussein
doaj +1 more source
Notes on the zero-divisor graph and annihilating-ideal graph of a reduced ring
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We translate some graph properties of 𝔸𝔾(R) and Γ(R) to some topological properties of Zariski topology. We prove that the facts “(1) The zero ideal of R is an anti fixed-place ideal. (2) Min(R) does not have any isolated point. (3) Rad(𝔸𝔾 (R)) = 3.
Badie Mehdi
doaj +1 more source
The Zariski Topology for distributive lattices
Rocky Mountain Journal of Mathematics, 1987 The purpose of this paper is to study an intrinsic topology for distributive lattices which by its very definition is analogous to the classical Zariski topology on rings. As in the case of rings, the Zariski topology is the coarsest topology making solution sets of polynomials closed.
Gierz, Gerhard, Stralka, Albert
openaire +2 more sources
Quasi-prime Submodules and Developed Zariski Topology [PDF]
Algebra Colloquium, 2012 Let R be a commutative ring with nonzero identity and M be an R-module. Quasi-prime submodules of M and the developed Zariski topology on q Spec (M) are introduced. We also investigate the relationship between algebraic properties of M and topological properties of q Spec (M).
Abbasi, A., Hassanzadeh-lelekaami, D.
openaire +1 more source
The Prime Spectra of Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 In this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ...
Nazar Shuker +2 more
doaj +1 more source
Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules [PDF]
Notes on IFSIn this paper, we define and study the notion of intuitionistic fuzzy classical primary submodules over a unitary R-module M, where R is a commutative ring with unity.
Poonam Kumar Sharma
doaj +1 more source