Results 31 to 40 of about 128,731 (304)
Preserving Filtering Unification by Adding Compatible Operations to Some Heyting Algebras [PDF]
, 2016 We show that adding compatible operations to Heyting algebras and to commutative residuated lattices, both satisfying the Stone law ¬x ⋁ ¬¬x = 1, preserves filtering (or directed) unification, that is, the property that for every two unifiers there is a ...
Dzik, Wojciech, Radeleczki, Sándor
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On n-fold fuzzy implicative/commutative ideals of BCK-algebras
International Journal of Mathematics and Mathematical Sciences, 2001 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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Koszul algebras and regularity [PDF]
, 2012 This is a survey paper on commutative Koszul algebras and Castelnuovo-Mumford regularity. We describe several techniques to establish the Koszulness of algebras.
Conca, Aldo +2 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 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 [PDF]
Acta Mathematica, 2015 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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An exotic characterization of a commutative H*-algebra
International Journal of Mathematics and Mathematical Sciences, 2000 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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AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR [PDF]
International Journal of Algebra and Computation, 1993 We describe a new order-theoretic property of the commutator for finite algebras. As a corollary we show that any right nilpotent congruence on a finite algebra is left nilpotent. The result is false for infinite algebras and the converse is false even for finite algebras.
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Weak commutativity and finiteness properties of groups [PDF]
Bulletin of the London Mathematical Society, 2018 We consider the group $\mathfrak{X}(G)$ obtained from $G\ast G$ by forcing each element $g$ in the first free factor to commute with the copy of $g$ in the second free factor. Deceptively complicated finitely presented groups arise from this construction: $\mathfrak{X}(G)$ is finitely presented if and only if $G$ is finitely presented, but if $F$ is a ...
Bridson, M, Kochloukova, D
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Symmetric Monoidal Structure with Local Character is a Property [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, rather than a structure.
Stefano Gogioso, Dan Marsden, Bob Coecke
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Commutation Properties of Operator Polynomials [PDF]
Journal of the Australian Mathematical Society, 1971 Suppose A and B are continuous linear operators mapping a complex Banach space X into itself. For any polynomial pC, it is obvious that when A commutes with B, then p(A) commutes with B. To see that the reverse implication is false, let A be nilpotent of order n. Then An commutes with all B but A cannot do so. Sufficient conditions for the implication:
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