منابع مشابه
Radical approach in BCH-algebras
We define the notion of radical in BCH-algebra and investigate the structure of [X; k], a viewpoint of radical in BCH-algebras. 1. Introduction. In 1966, Imai and Iséki [8] and Iséki [9] introduced two classes of abstract algebras: BCK-algebras and BCI-algebras. It is known that the class of BCK-algebras is a proper subclass of the class of BCI-algebras. In 1983, Hu and Li [5, 6] introduced a w...
متن کاملRadical and It’s Applications in BCH-Algebras
Let $X$ be a $BCH$-algebra and $I$ be an ideal of $X$. In this paper, we introduce the concept of $sqrt{I}$. We show that it is an ideal of $X$, when $I$ is closed ideal of $X$. Then we verify some useful properties of it. We prove that it is the ::::union:::: of all $k-$nil ideals of $I$. Moreover, if $I$ is a closed ideal of $X$, then $sqrt{I}$ is a closed translation ideal and so we can cons...
متن کاملOn Pseudo BCH-algebras
As a generalization of BCH-algebras, the notion of pseudo BHalgebra is introduced, and some of their properties are investigated. The notions of pseudo subalgebra, pseudo ideals, and pseudo atoms in pseudo BCH-algebras are introduced. Characterizations of their properties are provided. Mathematics Subject Classification: 06F35, 03G25
متن کاملSmarandache BCH - Algebras
We introduce the notion of Smarandache BCH-algebra and Smarandache (fresh, clean and fantastic) ideals, some example are given and related properties are investigated. Relationship between Q-Smarandache (fresh, clean and fantastic) ideals and other types of ideals are given. Extension properties for Q-Smarandache (fresh, clean and fantastic) ideals are established.
متن کاملIdeal Theory of BCH - Algebras
Corresponding Author: Dr. Arsham Borumand Saeid, Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, email: [email protected] 1446 Ideal Theory of BCH-Algebras 1A. Borumand Saeid, 2A. Namdar and 3R.A. Borzooei Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran Department of Mathematics, Islamic Azad University Zarin Dasht Branch, Iran Depar...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2004
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171204210626