FUZZY DIMENSION OF MODULES OVER RINGS (Monograph): Fuzzy Dimension, Uniform Submodule, Linearly Independent Elements - Couverture souple

Bhavanari, Prof. Dr Satyanarayana; Shaw, Mohiddin

 
9783639231977: FUZZY DIMENSION OF MODULES OVER RINGS (Monograph): Fuzzy Dimension, Uniform Submodule, Linearly Independent Elements
Couverture souple
ISBN 10 : 363923197X ISBN 13 : 9783639231977
Editeur : VDM Verlag Dr. Müller, 2010

Synopsis

Over the last forty years, interest has arisen in the study of modern algebraic systems like Rings, Modules over Rings. The concept ?Dimension? of a vector space, when generalized to modules becomes the concept ?Goldie Dimension?. This dimension concept was studied by several authors from different continents. Success of fuzzy logic in a wide range applications inspired much interest in fuzzy logic among mathematicians. The researchers in mathematics were trying to introduce and study the concept of fuzzyness in different mathematical systems under study. Dr Bhavanari Satyanarayana & his Research Group studied Goldie Dimension and Spanning Dimension in Modules and N-groups. Also introduced the concept Fuzzy Dimension in Modules over Associative Rings. This monograph covers a vital study of several important concepts like: Goldie Dimension, Fuzzy submodule, Fuzzy Dimension, Fuzzy Basis in Modules over Associative Rings. This monograph is certainly attracts the interest of all algebraists, Ring Theorists, in particular. This monograph is a more valuable addition not only to the Institutional Libraries, but also to each personal library of every algebraist of the world.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Over the last forty years, interest has arisen in the study of modern algebraic systems like Rings, Modules over Rings. The concept ?Dimension? of a vector space, when generalized to modules becomes the concept ?Goldie Dimension?. This dimension concept was studied by several authors from different continents. Success of fuzzy logic in a wide range applications inspired much interest in fuzzy logic among mathematicians. The researchers in mathematics were trying to introduce and study the concept of fuzzyness in different mathematical systems under study. Dr Bhavanari Satyanarayana & his Research Group studied Goldie Dimension and Spanning Dimension in Modules and N-groups. Also introduced the concept Fuzzy Dimension in Modules over Associative Rings. This monograph covers a vital study of several important concepts like: Goldie Dimension, Fuzzy submodule, Fuzzy Dimension, Fuzzy Basis in Modules over Associative Rings. This monograph is certainly attracts the interest of all algebraists, Ring Theorists, in particular. This monograph is a more valuable addition not only to the Institutional Libraries, but also to each personal library of every algebraist of the world.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2010
Langue
anglais
ISBN 10 
363923197X
ISBN 13 
9783639231977
Reliure
Broché
Nombre de pages
108
Coordonnées du fabricant
non disponible
Personne responsable
non disponible