Add to ORKGAs a generalization of a BCK-algebra, a BE-algebras was introduced. In this paper, we investigate several properties of upper sets in BE-algebras, and we introduce more extended upper sets of BE-algebras, and obtain some relations with filters of BE-algebras. Also, the notion of Krull dimension of a BE-algebra and the notion of regular sequence in a BE-algebra are introduced. 2010 Mathematics Subject Classication: 03G25, 06B10, 06E1
Abstract: Since all the algebras connected to logic have, more or less explicitely, an associated or...
In this paper we introduce the notion of PSRU-algebras as a generalization of BE-algebras, we invest...
Florentin Smarandache, introduced a creative idea named superhyper algebras as a popularization of a...
Abstract. The notions of terminal sections of BE-algebras are intro-duced. Characterizations of a co...
The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derive...
In this paper, we introduce the concept of multiplier of BE-algebras and obtained some properties of...
The notion of uni-soft mighty filters of a BE-algebra is introduced, and related properties are inve...
The notion of int-soft filters of a BE-algebra is introduced, and related properties are investigate...
In this paper, the notion of a medial filter in a BE-algebra is defined, and the theory of filters i...
This book presents a unified course in BE-algebras with a comprehensive introduction, general theore...
BE-algebra is a non-empty set푋with a binary operation ∗and a constant 1 which is denoted by (푋;∗,1),...
BE-algebra is an algebra(푋;∗,1)of type (2,0)that satisfies the following axioms:(퐵E1) 푥∗푥=1, (퐵E2) 푥...
BCK-algebras were introduced by K. Iseki in [6] in order to give an algebraic framework for Meredith...
In this note the notion of a hyper BCK-algebra which is a generalization of a BCK-algebra introduced...
In this paper we introduce some new types of stabilizers in BL-algebras and we state and prove some ...
Abstract: Since all the algebras connected to logic have, more or less explicitely, an associated or...
In this paper we introduce the notion of PSRU-algebras as a generalization of BE-algebras, we invest...
Florentin Smarandache, introduced a creative idea named superhyper algebras as a popularization of a...
Abstract. The notions of terminal sections of BE-algebras are intro-duced. Characterizations of a co...
The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derive...
In this paper, we introduce the concept of multiplier of BE-algebras and obtained some properties of...
The notion of uni-soft mighty filters of a BE-algebra is introduced, and related properties are inve...
The notion of int-soft filters of a BE-algebra is introduced, and related properties are investigate...
In this paper, the notion of a medial filter in a BE-algebra is defined, and the theory of filters i...
This book presents a unified course in BE-algebras with a comprehensive introduction, general theore...
BE-algebra is a non-empty set푋with a binary operation ∗and a constant 1 which is denoted by (푋;∗,1),...
BE-algebra is an algebra(푋;∗,1)of type (2,0)that satisfies the following axioms:(퐵E1) 푥∗푥=1, (퐵E2) 푥...
BCK-algebras were introduced by K. Iseki in [6] in order to give an algebraic framework for Meredith...
In this note the notion of a hyper BCK-algebra which is a generalization of a BCK-algebra introduced...
In this paper we introduce some new types of stabilizers in BL-algebras and we state and prove some ...
Abstract: Since all the algebras connected to logic have, more or less explicitely, an associated or...
In this paper we introduce the notion of PSRU-algebras as a generalization of BE-algebras, we invest...
Florentin Smarandache, introduced a creative idea named superhyper algebras as a popularization of a...