Results 21 to 30 of about 38,780 (317)

ON WEAK EXTENDED ORDER ALGEBRAS WITH ADJOINT PAIRS AND GALOIS PAIRS [PDF]

Journal of Algebraic Systems
In this paper, we consider properties of weak extended order algebras with adjoint pairs and Galois pairs, and prove some new results. Moreover, we clarify the relation between these algebras and BCK-algebras, that is, the class of all normal weak ...
Michiro Kondo
doaj   +1 more source

Fundamental Relation on HvBE-Algebras

Bulletin of the Section of Logic, 2023
In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation.
Farzad Iranmanesh, Mansour Ghadiri, Arsham Borumand Saeid   +2 more
doaj   +1 more source

Cluster algebras of infinite rank [PDF]

, 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, Grabowski, Jan E., Grabowski, Jan, Groechenig, Michael   +3 more
core   +1 more source

On the L ∞ formulation of Chern-Simons theories

Journal of High Energy Physics, 2022
L ∞ algebras have been largely studied as algebraic frameworks in the formulation of gauge theories in which the gauge symmetries and the dynamics of the interacting theories are contained in a set of products acting on a graded vector space.
S. Salgado
doaj   +1 more source

Relation algebras from cylindric algebras, II

Annals of Pure and Applied Logic, 2001
For every \(n\geq 3\), \(\mathbf{S}\mathcal RaCA_n\) is, by definition, the class of subalgebras of relation-algebraic reducts of cylindric algebras of dimension \(n\). It was known that \(\mathbf{S}\mathcal RaCA_4\) is the class of relation algebras, and that, for every \(n\geq 4\), \(\mathbf{S}\mathcal RaCA_n\) is a canonical variety, that is, it is ...
Robin Hirsch, Ian M. Hodkinson
openaire   +4 more sources

Hom-O-Operators and Hom-Yang-Baxter Equations

Advances in Mathematical Physics, 2015
In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
doaj   +1 more source

Topological Up-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets.
Satirad Akarachai, Iampan Aiyared
doaj   +1 more source

On $n$-slice Algebras and Related Algebras

, 2020
The $n$-slice algebra is introduced as a generalization of path algebra in higher dimensional representation theory. In this paper, we give a classification of $n$-slice algebras via their $(n+1)$-preprojective algebras and the trivial extensions of their quadratic duals.
Guo, Jin-Yun, Xiao, Cong, Lu, Xiaojian
openaire   +3 more sources

Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions

International Journal of Mathematics and Mathematical Sciences, 2011
The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids.
Massoud Amini, Alireza Medghalchi
doaj   +1 more source

W-algebras related to parafermion algebras

Journal of Algebra, 2009
We study a W-algebra of central charge 2(k-1)/(k+2) with k a positive integer greater than ...
Dong, Chongying, Lam, Ching Hung, Yamada, Hiromichi   +2 more
openaire   +3 more sources