Results 1 to 10 of about 64,148 (170)

The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators [PDF]

open access: yesAbstract and Applied Analysis, 2007
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
doaj   +7 more sources

Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology [PDF]

open access: yes, 2021
We construct a categorification of the maximal commutative subalgebra of the type A Hecke algebra. Specifically, we propose a monoidal functor from the (symmetric) monoidal category of coherent sheaves on the flag Hilbert scheme to the (non-symmetric ...
Gorsky, E, Neguţ, A, Rasmussen, J
core   +2 more sources

Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this paper, by using the sequence of adjointable operators from pro-C*-algebra $ mathcal{A} $ into a Hilbert $ mathcal{A} $-module $ E $. We introduce frames with bounds in pro-C*-algebra $ mathcal{A} $.
Mona Naroei Irani, Akbar Nazari
doaj   +1 more source

Hilbert Implication Algebra and Some Properties

open access: yesJournal of Applied Mathematics, 2021
The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved.
Dejen Gerima Tefera
doaj   +1 more source

On Anti-Q-Fuzzy Deductive Systems of Hilbert Algebras

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, the concept of anti-Q-fuzzy deductive systems concepts of Hilbert algebras are introduced and proved some results. Further, we discuss the relation between anti-Q-fuzzy deductive system and level subsets of a Q-fuzzy set.
M. Vasuki, P. Senthil Kumar, N. Rajesh
doaj   +1 more source

Quasi-Algebras versus Regular Algebras - Part I [PDF]

open access: yesScientific Annals of Computer Science, 2015
Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras.
A. Iorgulescu
doaj   +1 more source

Interval-Valued Intuitionistic Fuzzy Subalgebras/Ideals of Hilbert Algebras

open access: yesInternational Journal of Analysis and Applications, 2022
In this paper, the concept of interval-valued intuitionistic fuzzy sets to subalgebras and ideals of Hilbert algebras is introduced. The inverse image of interval-valued intuitionistic fuzzy subalgebras and interval-valued intuitionistic fuzzy ideals of ...
Aiyared Iampan   +3 more
doaj   +1 more source

On GE-algebras

open access: yesBulletin of the Section of Logic, 2021
Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced ...
Ravikumar Bandaru   +2 more
doaj   +1 more source

Semiheaps and Ternary Algebras in Quantum Mechanics Revisited

open access: yesUniverse, 2022
We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review the construction of a semiheap on a Hilbert space and the set of bounded operators on a Hilbert space. The new aspect of this
Andrew James Bruce
doaj   +1 more source

BERGMAN under MS-DOS and Anick's resolution [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 1997
Noncommutative algebras, defined by the generators and relations, are considered. The definition and main results connected with the Gröbner basis, Hilbert series and Anicks resolution are formulated.
V. Ufnarovski, S. Cojocaru
doaj   +2 more sources

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