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The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings
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
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Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Ameri
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Ameri
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Fuzzy prime spectrum of a ring II
Fuzzy Sets and Systems, 1993This 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
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The Zariski topology on the spectrum of prime L-submodules
Soft Computing, 2007Let \(R\) 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
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Spectrum of prime fuzzy ideals
Fuzzy Sets and Systems, 1994An 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
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Prime spectrums of EQ-algebras
Journal of Logic and Computation, 2023Abstract 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
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The Taylor–Browder Spectrum on Prime C*-Algebras
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
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