Results 141 to 150 of about 517,570 (180)

The Prime Spectrum of an MV‐Algebra

Mathematical Logic Quarterly, 1994
AbstractIn this paper we show that the prime ideal space of an MV‐algebra is the disjoint union of prime ideal spaces of suitable local MV‐algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well.Mathematics Subject Classification: 03B50, 06D99.
L. P. Belluce, A. Di Nola, SESSA, SALVATORE   +2 more
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The Prime Spectrum

2002
Our focus in Part II will be on quantized coordinate rings, and most of the discussion will be concentrated ongenericcases — those in which suitable parameters are not roots of unity. The non-generic situation, in which different phenomena occur and which require different methods of investigation, will be addressed in Part III.
Ken A. Brown, Ken R. Goodearl
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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 ...
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L-prime spectrum of a ring

1997 Annual Meeting of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.97TH8297), 2002
We obtain some new results concerning the fuzzy prime spectrum, such as results about irreducibility and generic points. We show how our results can be applied to the solution of fuzzy intersection equations. We extend the known results to those involving a completely distributive lattice rather than the closed interval [0,1].
D.S. Malik, J.N. Mordeson
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On Prime Spectrums of Commutative Rings

Communications in Algebra, 2006
We show that π-regular rings and clean rings can be completely characterized by topological properties of their prime spectrums respectively. In addition, we give some applications of those result. Among others, we improve the main result of Samei (2004) and give a new criterion for a clean ring that a commutative ring is clean if and only if ...
Dancheng Lu, Weihong Yu
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On the prime spectrum of a mori domain

Communications in Algebra, 1996
(1996). On the prime spectrum of a mori domain. Communications in Algebra: Vol. 24, No. 11, pp. 3599-3622.
BARUCCI, Valentina, HOUSTON E.
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Fuzzy prime spectrum of a ring

Fuzzy Sets and Systems, 1992
Let \(R\) and \(R'\) denote commutative rings. A topology is defined on the set of all fuzzy prime ideals of \(R\) and the resulting space, denoted by \(F\text{Spec}R\), is shown to be \(T_ 0\). A base for the topology of \(F\text{Spec}R\) is also obtained.
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The Prime Spectrum of Rq[G]

1995
A highest weight module for R is a module generated by a one dimensional R + module. Their theory is superficially similar to highest weight modules for U. Thus there are universal highest weight modules (analogous to Verma modules) and these admit unique simple quotients (10.1.5).
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The Minimal Prime Spectrum of a Commutative Ring

Canadian Journal of Mathematics, 1971
We call a topological space X minspectral if it is homeomorphic to the space of minimal prime ideals of a commutative ring A in the usual (hull-kernel or Zariski) topology (see [2, p. 111]). Note that if A has an identity, is a subspace of Spec A (as defined in [1, p. 124]).
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The Taylor–Browder Spectrum on Prime C*-Algebras

Integral Equations and Operator Theory, 2012
\textit{R. E. Curto} and \textit{C. Hernández-Garcíadiego} [Proc. Am. Math. Soc. 125, No. 11, 3299--3301 (1997; Zbl 0887.46034)] proved that the Taylor joint spectrum of the pair \((L_a,R_b)\) of left and right multiplication operators acting on a \(C^*\)-algebra is exactly the Cartesian product of the spectra of \(a\) and \(b\). In fact, this spectral
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