Fuzzy AT-ideals of AT-algebras

ISBN-13: 9783330011830 / Angielski / Miękka / 2016 / 140 str.

Areej Tawfeeq Hameed

Opis

This Book consists of five chapters. We introduce a new notion of algebras called AT-algebras. The notions of AT-algebras, AT-subalgebras, AT-ideals and homomorphism of AT-algebras are introduced. The relation between some abelian groups and AT-algebras are studied and investigated some of its properties . We introduce the notion of fuzzy AT-ideal of AT-algebra, several theorems, properties are stated and proved. the notion of interval-valued fuzzy AT-subalgebras and interval-valued fuzzy AT-ideals on AT-algebras is introduced. We introduced a new notion called cubic AT-ideal of AT-algebras and study several properties of it. we discuss fuzzy -translation, (normalized, maximal) fuzzy S-extension of fuzzy AT-subalgebras in AT-algebra.We discuss fuzzy -translation, fuzzy extension of fuzzy AT-ideals in AT-algebra. We studied and investigated some of its properties.

O autorze

Author: Holds a doctorate in the philosophy of mathematics from Ain Shams University Faculty of Science, Department of Mathematics in 2015.She is the author of several books and prepare them:1-Fuzzy ideals of KUS-algebras 2- On (Fuzzy) SA-ideals of SA-algebras 3- On Almost Quasi - Frobenius Fuzzy Rings .