Results 111 to 120 of about 661 (206)

Categorical Realizability for Non-symmetric Closed Structures

open access: yes, 2023
In categorical realizability, it is common to construct categories of assemblies and categories of modest sets from applicative structures. These categories have structures corresponding to the structures of applicative structures.
Tomita, Haruka
core  

The p-semisimple property for some generalizations of BCI algebras and its applications

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020
This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various
Lidia Obojska, Andrzej Walendziak
doaj  

A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras

open access: yesMathematics
The concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Manivannan Balamurugan   +3 more
doaj   +1 more source

Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I=M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J=M(M−1(J))
Michiro Kondo
doaj   +1 more source

On (α,β)-Derivations in BCI-Algebras

open access: yesDiscrete Dynamics in Nature and Society, 2012
The notion of (regular) (α,β)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated. The condition for a (α,β)-derivation to be regular is provided.
G. Muhiuddin, Abdullah M. Al-Roqi
doaj   +1 more source

On k*-radical in BCI-algebras

open access: yesProyecciones (Antofagasta), 2018
In (2] the notion of nil radical in BCI-algebras was introduced and various properties are developed in [3]. Further, several results on nil ideals were obtained in [4] and [5]. The aim of this paper is to study and investigate some properties of k*- radicals in BCI-algebras. The notion of k*- semiprime ideal is introduced.
openaire   +3 more sources

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