Add to ORKGAbstract. In this paper, we introduce the class of K(G)-algebras as a super class of the classes of BCH/BCI/BCK-algebras and the class of B-algebras, when the group (G, ·) is abelian and non-abelian respectively. 2000 Mathematics Subject Classification. 06F35. Key words and phrases. K(G)-algebras, Logical algebras, Group
This book gives an account of the necessary background for group algebras and crossed products for a...
plete. We also show that it has coequalizers, kernel pairs, and an image factoriza-tion system. It i...
The Smarandache structure of generalized BCK-algebras is considered. Several examples of a qS-gBCK-a...
We define two classes of algebras P- and Q-, which are derived from the definitions of BCK- and BCI-...
The aim of this article is to obtain more general forms than the papers of (Jun et al. (2010); Jun e...
In this paper, we introduce a new class algebras related to BCK-algebras and semigroups, called a KS...
Summary. In this article we will first investigate the elementary prop-erties of BCI-algebras with c...
We consider some fundamental properties of QS-algebras and show that (1) the theory of QS-algebras i...
BCK-algebras are algebraic structures in universal algebra such that are based on logical axioms and...
We introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. T...
Abstract. The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is sh...
The notion of 𝒩-subalgebras of several types is introduced, and related properties are inves...
In this paper, we introduce the notion of a BO-algebra, and we prove that every BO-algebra is 0-comm...
A BCK-algebra is an algebraic structure of a set X with one binary operation. A KS-semigroup is a se...
If an algebra of type A contains a subalgebra which is also an algebra of type B, then it is a Smara...
This book gives an account of the necessary background for group algebras and crossed products for a...
plete. We also show that it has coequalizers, kernel pairs, and an image factoriza-tion system. It i...
The Smarandache structure of generalized BCK-algebras is considered. Several examples of a qS-gBCK-a...
We define two classes of algebras P- and Q-, which are derived from the definitions of BCK- and BCI-...
The aim of this article is to obtain more general forms than the papers of (Jun et al. (2010); Jun e...
In this paper, we introduce a new class algebras related to BCK-algebras and semigroups, called a KS...
Summary. In this article we will first investigate the elementary prop-erties of BCI-algebras with c...
We consider some fundamental properties of QS-algebras and show that (1) the theory of QS-algebras i...
BCK-algebras are algebraic structures in universal algebra such that are based on logical axioms and...
We introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. T...
Abstract. The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is sh...
The notion of 𝒩-subalgebras of several types is introduced, and related properties are inves...
In this paper, we introduce the notion of a BO-algebra, and we prove that every BO-algebra is 0-comm...
A BCK-algebra is an algebraic structure of a set X with one binary operation. A KS-semigroup is a se...
If an algebra of type A contains a subalgebra which is also an algebra of type B, then it is a Smara...
This book gives an account of the necessary background for group algebras and crossed products for a...
plete. We also show that it has coequalizers, kernel pairs, and an image factoriza-tion system. It i...
The Smarandache structure of generalized BCK-algebras is considered. Several examples of a qS-gBCK-a...