Results 41 to 50 of about 9,479,318 (138)

MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS

open access: yesActa Polytechnica, 2013
We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;⊕, 0), called a summability block.
Zdenka Riečanová, Jiří Janda
doaj   +1 more source

Extensions of Effect Algebra Operations

open access: yesActa Polytechnica, 2011
We study the set of all positive linear operators densely defined in an infinite-dimensional complex Hilbert space. We equip this set with various effect algebraic operations making it a generalized effect algebra.
Z. Riečanová, M. Zajac
doaj  

New Directions in Categorical Logic, for Classical, Probabilistic and Quantum Logic [PDF]

open access: yesLogical Methods in Computer Science, 2015
Intuitionistic logic, in which the double negation law not-not-P = P fails, is dominant in categorical logic, notably in topos theory. This paper follows a different direction in which double negation does hold.
Bart Jacobs
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Auslander algebras as quasi-hereditary algebras [PDF]

open access: yes, 1989
Dlab V, Ringel CM. Auslander algebras as quasi-hereditary algebras. Journal of the London Mathematical Society : Ser. 2.
Dlab, Vlastimil, Ringel, Claus Michael
core  

Levels and sublevels of composition algebras [PDF]

open access: yes, 2007
Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
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Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras

open access: yesActa Polytechnica, 2013
We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]G = [0, q]E ∩ G of G (q ∈ G , q ≠ 0) is a sub-effect algebra of the effect algebra [0, q]E.
Zdenka Riečanová, Michal Zajac
doaj  

On the Homology Theory of Operator Algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are
Alaa Hassan Noreldeen
doaj   +1 more source

Optimal fuzzy control using hedge algebras of a damped elastic jointed inverted pendulum

open access: yesVietnam Journal of Mechanics, 2010
In this paper, three controllers including OFCHA (optimal fuzzy control using hedge algebras-HAs), FCHA (fuzzy control using HAs) and CFC (conventional fuzzy control) are designed.
Bui Hai Le, Tran Duc Trung, Vu Nhu Lan
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Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras [PDF]

open access: yes, 2008
We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
core   +1 more source

Generalized Jordan Semitriple Maps on Hilbert Space Effect Algebras

open access: yesAdvances in Mathematical Physics, 2014
Let ℰ(H) be the Hilbert space effect algebra on a Hilbert space H with dim⁡H≥3, α,β two positive numbers with 2α+β≠1 and Φ:ℰ(H)→ℰ(H) a bijective map.
Qing Yuan, Kan He
doaj   +1 more source

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