Dimension and Graph Theoretic Aspects of Rings (Monograph): Prime Ideal, Finite Goldie Dimension, Zero Square Dimension, Zero Square Fuzzy Ideal, Principal Ideal Graph, Prime Graph of a Ring - Couverture souple

Bhavanari, Prof. Dr Satyanarayana; Nagaraju Dasari, Dr

 
9783639305586: Dimension and Graph Theoretic Aspects of Rings (Monograph): Prime Ideal, Finite Goldie Dimension, Zero Square Dimension, Zero Square Fuzzy Ideal, Principal Ideal Graph, Prime Graph of a Ring
Couverture souple
ISBN 10 : 3639305582 ISBN 13 : 9783639305586
Editeur : VDM Verlag Dr. Müller, 2011

Synopsis

Over the last 40 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. This Goldie Dimension Theory is not suitable to develop dimension theory for rings with respect to “two sided ideals” in case of associative rings (but not commutative rings). A suitable concept "Finite Dimension" was introduced and studied in Ring Theory. This Monograph covers a vital study of several important concepts like: g-prime radical, Zero Square Dimension, Zero Square Fuzzy Ideal, Principal Ideal Graph of a Ring, Prime Graph of a Ring. The concepts Principal Ideal Graph and Prime Ideal Graph form two different new bridges between "Graph Theory" and the algebraic concept "Ring". Necessary examples were included. 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 40 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. This Goldie Dimension Theory is not suitable to develop dimension theory for rings with respect to “two sided ideals” in case of associative rings (but not commutative rings). A suitable concept "Finite Dimension" was introduced and studied in Ring Theory. This Monograph covers a vital study of several important concepts like: g-prime radical, Zero Square Dimension, Zero Square Fuzzy Ideal, Principal Ideal Graph of a Ring, Prime Graph of a Ring. The concepts Principal Ideal Graph and Prime Ideal Graph form two different new bridges between "Graph Theory" and the algebraic concept "Ring". Necessary examples were included. 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.

Biographie de l'auteur

Prof. Dr Bhavanari Satyanarayana, FAPAS, Awards: AP Scientist, Glory of India (in Thailand, 2011), 28 yr Teaching Exp, ANUniv, Authored 35 Books, Published 65 Research Papers (Algebra/Fuzzy Algebra/Graph Theory) in International Journals. Dr Nagaraju Dasari, 3yr of Teaching Exp. in Univ, Published 10RP, Research Student of Dr Bhavanari for his Ph.D

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
2011
Langue
anglais
ISBN 10 
3639305582
ISBN 13 
9783639305586
Reliure
Broché
Nombre de pages
176
Coordonnées du fabricant
non disponible
Personne responsable
non disponible