Fuzzy AT-ideals of AT-algebras - Hameed, Areej Tawfeeq
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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…mehr

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Produktbeschreibung
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.
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Autorenporträt
Name: Areej Tawfeeq Hameed AL-Budarub .* 1996, B.Sc. in Mathematics, University of Baghdad, College of Education Ibn-AL-Haitham .* 2000, M.Sc. in Mathematics, University of Baghdad, College of Education Ibn-AL-Haitham.* 2015, Ph.D.Sc. Degree in Mathematics, Ain Shams University, Faculty of Science, Cairo, Egypt.