Topics in Intuitionistic Fuzzy Algebra: an Introduction

The book contains elementary ideas of different Intuitionistic fuzzy algebraic structures viz. Intuitionistic fuzzy ideals and Intuitionistic fuzzy submodules. Some interesting relationships between images of Intuitionistic fuzzy ideal and Noetherian & Artinian rings are established. The notion of Intuitionistic fuzzy essential submodules, Intuitionistic fuzzy closed submodules, finite dimensional Intuitionistic fuzzy submodules, Intuitionistic fuzzy uniform submodules, Intuitionistic fuzzy submodules of IF Goldie dimension, Intuitionistic fuzzy projective and injective submodules are introduced and many of their important properties are discussed. Hope this book will provide necessary prerequisites for researchers in this field.