Results 21 to 30 of about 1,767 (212)
On n-fold fuzzy implicative/commutative ideals of BCK-algebras
We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals.
Young Bae Jun
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Properties of Commuting Graphs over Semidihedral Groups [PDF]
This paper considers commuting graphs over the semidihedral group SD8n. We compute their eigenvalues and obtain that these commuting graphs are not hyperenergetic for odd n≥15 or even n≥2. We further compute the Laplacian spectrum, the Laplacian energy and the number of spanning trees of the commuting graphs over SD8n.
Tao Cheng +4 more
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Commutativity properties in Banach∗-algebras [PDF]
1* Introduction* Let Tlf T2, and U be bounded linear operators on a Hubert space where Tx and T2 are normal. The well-known theorem of Fuglede [13] asserts that if TtU = UT, then T?U= UT?. Putnam's generalization [13] states that if TiZ7= UT2 then T?U= UT2*.
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Spectral Properties and Stability in Vector-Valued Lipschitz Algebras [PDF]
Let $A$ be a commutative Banach algebra and $(K,d)$ be a compact metric space. In this paper, we examine various spectral properties, including the unique uniform norm property, weak regularity, Ditkin's condition and local operators, within the context
Hossein Aboubakri +2 more
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Commutative Languages and their Composition by Consensual Methods [PDF]
Commutative languages with the semilinear property (SLIP) can be naturally recognized by real-time NLOG-SPACE multi-counter machines. We show that unions and concatenations of such languages can be similarly recognized, relying on – and further ...
Stefano Crespi Reghizzi +1 more
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An exotic characterization of a commutative H*-algebra
Commutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.
Parfeny P. Saworotnow
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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Mixing properties of commuting nilmanifold automorphisms
We study mixing properties of commutative groups of automorphisms acting on compact nilmanifolds. Assuming that every nontrivial element acts ergodically, we prove that such actions are mixing of all orders. We further show exponential 2-mixing and 3-mixing.
Gorodnik, Alexander, Spatzier, Ralf
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Local spectral properties of commutators [PDF]
For a pair of continuous linear operatorsTandSon complex Banach spacesXandY, respectively, this paper studies the local spectral properties of the commutatorC(S, T) given byC(S, T)(A): =SA−ATfor allA∈L(X, Y). Under suitable conditions onTandS, the main results provide the single valued extension property, a description of the local spectrum, and a ...
Laursen, Kjeld Bagger +2 more
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Subrings of I-rings and S-rings
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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