Results 31 to 40 of about 3,431 (301)

Research on Partial Ordered Sets That Can Be Constructed as Effect Algebras

open access: yesDiscrete Dynamics in Nature and Society, 2022
In this paper, we study effect algebra-induced partial ordered sets. All possible cases of effect algebras generated by bounded partial ordered set MI of height 2 are given.
Hai-feng Zhang, Meng Zhou
doaj   +1 more source

Cluster algebras of infinite rank [PDF]

open access: yes, 2014
Holm and Jørgensen have shown the existence of a cluster structure on a certain category D that shares many properties with finite type A cluster categories and that can be fruitfully considered as an infinite analogue of these. In this work we determine
Gratz, Sira   +3 more
core   +1 more source

Unbounded C*-seminorms, biweights, and *-representations of partial *-algebras: A review

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The notion of (unbounded) C*-seminorms plays a relevant role in the representation theory of *-algebras and partial *-algebras. A rather complete analysis of the case of *-algebras has given rise to a series of interesting concepts like that of ...
Camillo Trapani
doaj   +1 more source

Partial corepresentations of Hopf algebras [PDF]

open access: yesJournal of Algebra, 2021
We introduce the notion of a partial corepresentation of a given Hopf algebra $H$ over a coalgebra $C$ and the closely related concept of a partial $H$-comodule. We prove that there exists a universal coalgebra $H^{par}$, associated to the original Hopf algebra $H$, such that the category of regular partial $H$-comodules is isomorphic to the category ...
Marcelo Muniz S. Alves   +4 more
openaire   +4 more sources

Partial maps with domain and range: extending Schein's representation [PDF]

open access: yes, 2009
The semigroup of all partial maps on a set under the operation of composition admits a number of operations relating to the domain and range of a partial map. Of particular interest are the operations R and L returning the identity on the domain of a map
Stokes, Tim E., Jackson, Marcel
core   +1 more source

An algorithm for analysis of the structure of finitely presented Lie algebras [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 1997
We consider the following problem: what is the most general Lie algebra satisfying a given set of Lie polynomial equations? The presentation of Lie algebras by a finite set of generators and defining relations is one of the most general mathematical and ...
Vladimir P. Gerdt, Vladimir V. Kornyak
doaj   +3 more sources

NeutroAlgebra of Neutrosophic Triplets using {Zn, ×} [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using ...
Vasantha Kandasamy   +2 more
doaj   +1 more source

On partial isometries in C*-algebras [PDF]

open access: yes, 2011
We study similarity to partial isometries in C*-algebras as well as their relationship with generalized inverses. Most of the results extend some recent results regarding partial isometries on Hilbert spaces.
Mbekhta, Mostafa   +3 more
core   +1 more source

Poisson algebras via model theory and differential-algebraic geometry [PDF]

open access: yes, 2017
Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim   +8 more
core   +1 more source

Solving equations over small unary algebras [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
We consider the problem of solving a system of polynomial equations over fixed algebra $A$ which we call MPolSat($A$). We restrict ourselves to unary algebras and give a partial characterization of complexity of MPolSat($A$). We isolate a preorder $P(A)$
Przemyslaw Broniek
doaj   +1 more source

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