Results 101 to 110 of about 2,017 (178)
In this paper we define maximal $MV$-algebras, a concept similar to the maximal rings and maximal distributive lattices. We prove that any maximal $MV$-algebra is semilocal, then we characterize a maximal $MV$-algebras as finite direct product of local maximal $MV$-algebras.
Filipoiu, Alexandru +2 more
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A Note on the Trace of Generalized Permuting Tri-Derivations
Many researchers have studied permuting tri-derivation and generalized derivation in prime or semi-prime rings, BCK-algebras, lattices, d-algebras, MV-algebras and many algebraic structures. Later, they introduced the concept of generalized permuting tri-
Süleyman Zortaş, Hasret Yazarlı
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Axiomatizing quantum MV-algebras
We introduce the notion of {\it p-ideal\/} of a QMV-algebra and we prove that the class of all $p$-ideals of a QMV-algebra $\C M$ is in one-to-one correspondence with the class of all congruence relations of $\C M$.
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The author gives the concept of a topological MV-algebra and studies its completion under the \(I\)-adic topology, \(I\) being a proper ideal of the MV-algebra. Several properties of this topology are studied, like Hausdorffness and completeness, pointing out the corresponding algebraic properties.
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For any two observables on a full tribe we can always construct a two–dimensional observable. In this case the crucial role is played by pointwise multiplication of the functions of tribe.
Frantisek Kopka
doaj
Operations and structures derived from non-associative MV-algebras. [PDF]
Chajda I, Halaš R, Länger H.
europepmc +1 more source
Logical Divergence, Logical Entropy, and Logical Mutual Information in Product MV-Algebras. [PDF]
Markechová D +2 more
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Square Root of a Multivector of Clifford Algebras in 3D: A Game with Signs
An algorithm is presented to extract the square root from a multivector (MV) in real Clifford algebras Clp,q, where n=p+q≤3, in radicals. It is shown that in Cl3,0, Cl1,2, and Cl0,3 algebras, there are up to four isolated square roots in a case of the ...
Arturas Acus, Adolfas Dargys
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Characterizations of MV-algebras based on the theory of falling shadows. [PDF]
Yang Y, Xin X, He P.
europepmc +1 more source
This paper introduces the structure of enriched MV--algebras and studies on this basis various relations between sigma--complete MV--algebras and T--tribes.
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