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 - Softcover

Bhavanari, Prof. Dr Satyanarayana; Nagaraju Dasari, Dr

Softcover

ISBN 10: 3639305582 ISBN 13: 9783639305586

Verlag: VDM Verlag Dr. Müller, 2011

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: VDM Verlag Dr. Müller
• Erscheinungsdatum: 2011
• Sprache: Englisch
• ISBN 10: 3639305582
• ISBN 13: 9783639305586
• Einband: Taschenbuch
• Anzahl der Seiten: 176
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Presses Academiques Francophones; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland