Results 1 to 10 of about 419,838 (64)

Higher Order mz-elements in Coherent Quantales

Scientific Annals of Computer Science
The mz-elements of a coherent quantale have recently been defined by the author as an abstraction of the mz-ideals of a unital commutative ring. Having as its starting point the Dube and Ighedo recent paper on higher order ideals in ring theory, this ...
George Georgescu
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Lifting Elements in Coherent Quantales [PDF]

Transactions on Fuzzy Sets and Systems, 2022
An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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N–pure and weak–pure elements in coherent quantales [PDF]

Electronic Journal of Mathematics
George Georgescu
doaj   +4 more sources

Characterizing weak fraction-dense and other coherent quantales by localization [PDF]

Electronic Journal of Mathematics
George Georgescu
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Gabriel topologies on coherent quantales [PDF]

Journal of Pure and Applied Algebra, 1998
The notion of a Gabriel topology on a quantale \(Q\) was first investigated by the reviewer in his book ``Quantales and their applications'' [\textit{K. I. Rosenthal}, Pitman Res. Notes Math. 234 (1990; Zbl 0703.06007)]. This paper considers the frame of Gabriel topologies on a coherent quantale \(Q\) (recall that if ``\&'' denotes the operation on \(Q\
Karazeris, Panagis
openaire   +2 more sources

New characterization theorems of the mp-quantales [PDF]

Journal of Fuzzy Extension and Applications, 2021
The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
doaj   +1 more source

Interplay of classical and quantal features within the coherent-state model [PDF]

Physical Review C, 2012
The classical and quantal features of a quadrupole coherent state and its projections over angular momentum and boson number are quantitatively analyzed in terms of the departure of the Heisenberg uncertainty relations from the classical limit. This study is performed alternatively for two choices of the pairs of conjugate coordinates.
Raduta, A. A., Raduta, C. M.
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Entanglement and quantal coherence: Study of two limiting cases of rapid system-bath interactions [PDF]

Physical Review A, 2002
We consider the dynamics of a system coupled to a thermal bath, going beyond the standard two-level system through the addition of an energy excitation degree of freedom. Further extensions are to systems containing many fermions, with the master equations modified to take Fermi-Dirac statistics into account, and to potentials with a time-dependent ...
Bell, Nicole F., Sawyer, R. F., Volkas, Raymond R.   +2 more
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A Possible Extension of a Trial State in the TDHF Theory with a Canonical Form to the Lipkin Model: -- Canonicity Conditions and Dynamical Treatment of Classical and Quantal Variables in an Extended State of the su(2)-Coherent State -- [PDF]

Progress of Theoretical Physics, 2005
With the aim of extending the TDHF theory in canonical form to the Lipkin model, the trial state for the variation is constructed. This state is an extension of the Slater determinant. The canonicity condition is imposed to formulate the variational approach in canonical form. A possible solution of the canonicity condition is given, and the zero-point
Y. Tsue, H. Akaike
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Localization and Flatness in Quantale Theory

Mathematics
The study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
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