Results 61 to 70 of about 347 (90)

Finite Distributive Concept Algebras [PDF]

, 2018
Concept algebras are concept lattices enriched by a weak negation and a weak opposition. In Ganter and Kwuida (Contrib. Gen. Algebra, 14:63-72, 2004) we gave a contextual description of the lattice of weak negations on a finite lattice.
Ganter, Bernhard, Kwuida, Léonard
core  

On some generalizations of BCC-algebras

, 2012
We describe weak BCC-algebras (also called BZ-algebras) in which the condition $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same branch.
Dudek, Wieslaw A., Thomys, Janus
core   +1 more source

Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space [PDF]

, 2017
The notion of a generalized effect algebra is presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on a Hilbert space with the usual sum of operators ...
Janda , Jirí
core  

Generalized state maps and states on pseudo equality algebras

Open Mathematics, 2018
In this paper, we attempt to cope with states in a universal algebraic setting, that is, introduce a notion of generalized state map from a pseudo equality algebra X to an arbitrary pseudo equality algebra Y.
Cheng Xiao Yun, Xin Xiao Long, He Peng Fei   +2 more
doaj   +1 more source

State maps on semihoops

Open Mathematics, 2018
In this paper, we introduce the notion of state maps from a semihoop H1 to another semihoop H2, which is a generalization of internal states (or state operators) on a semihoop H.
Fu Yu Long, Xin Xiao Long, Wang Jun Tao
doaj   +1 more source

On fuzzy BCC-ideals over a t-norm [PDF]

, 2000
Using a t-norm T, the notion of T-fuzzy BCC-ideals of BCC-algebras is introduced, and some of their properties are investigated.
W. A. Dudek, Y. B. Jun
core  

The Sheffer stroke operation reducts of basic algebras

Open Mathematics, 2017
In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras.
Oner Tahsin, Senturk Ibrahim
doaj   +1 more source

Lattice of closure endomorphisms of a Hilbert algebra

, 2017
A closure endomorphism of a Hilbert algebra A is a mapping that is simultaneously an endomorphism of and a closure operator on A. It is known that the set CE of all closure endomorphisms of A is a distributive lattice where the meet of two elements is ...
Cīrulis, Jānis
core  

On residuated n-lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation.
Zahiri Saeide, Saeid Arsham Borumand
doaj   +1 more source

New topology in residuated lattices

Open Mathematics, 2018
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj   +1 more source