Results 251 to 260 of about 78,445 (293)

The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings

open access: yesAlgebras and Representation Theory, 2006
We investigate the prime spectrum of a noncommutative ring and its spectral closure, the extended prime spectrum. We construct a ring for which the prime spectrum is a spectral space different from the extended prime spectrum and we construct a von Neumann regular ring for which the prime spectrum is not a spectral space.
Igor Klep, Marcus Tressl, Klep Igor
exaly   +3 more sources

Spectrum of prime -submodules

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Ameri
exaly   +2 more sources

Fuzzy prime spectrum of a ring II

Fuzzy Sets and Systems, 1993
This paper is a continuation of the \textit{R. Kumar's} work on the fuzzy prime spectrum of a ring [part I, ibid. 46, 147-154 (1992; Zbl 0770.13016)]. The authors develop some basic properties of the fuzzy prime spectrum of a ring. They examine connectedness properties and the Hausdorff property of the fuzzy prime spectrum, as well as questions of ...
Kohli, J. K., Kumar, Rajesh
exaly   +2 more sources

The Zariski topology on the spectrum of prime L-submodules

Soft Computing, 2007
Let \(R\) be a commutative ring with identity and \(M\) a unitary \(R\)-module. Let \(L\text{-Spec}(M)\) denote the set of all prime \(L\)-submodules of \(M\), where \(L\) is a complete lattice. In this paper, the authors provide a topology for \(L\text{-Spec}(M)\) in a natural way.
R Ameri
exaly   +3 more sources

Spectrum of prime fuzzy ideals

Fuzzy Sets and Systems, 1994
An attempt has been made to introduce an appropriate topology on the set of prime fuzzy ideals. Instead of appealing to other definitions of prime fuzzy ideals, as in literature, the author has taken his own definition introduced earlier; such prime fuzzy ideals in a commutative ring \(R\) with identity are denoted by \(F \text{spec} (R)\); the author ...
H V Kumbhojkar
exaly   +3 more sources

Prime spectrums of EQ-algebras

Journal of Logic and Computation, 2023
Abstract The main purpose of this paper is to study prime spectrums of EQ-algebras and to solve two open problems about $\wedge $-prime spectrums of involutive and prelinear EQ-algebras, which were proposed by N. Akhlaghinia, R.A. Borzooei and M. A. Kologani.
Bin Zhao, Wei Wang
openaire   +1 more source

The Taylor–Browder Spectrum on Prime C*-Algebras

open access: yesIntegral Equations and Operator Theory, 2012
We provide a formula for the Taylor–Browder spectrum of a pair (L a , R b ) of left and right multiplication operators acting on a prime C*-algebra with non-zero socle.
Derek Kitson
exaly   +1 more source

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