Near rings, fuzzy ideals, and graph theory
Satyanarayana, Bhavanari.
Near rings, fuzzy ideals, and graph theory [electronic resource] / Bhavanari Satyanarayana, Kuncham Syam Prasad. - Boca Raton : CRC Press, 2013. - x, 468 p. : ill.
Includes bibliographical references (p. 453-458) and index.
1. Preliminaries -- 2. Fundamentals of near rings -- 3. More concepts on near rings -- 4. Prime and semiprime ideals -- 5. Dimension and decomposition theory -- 6. Matrix near rings -- 7. Gamma near rings -- 8. Fuzzy aspects in near rings and gamma near rings -- 9. Fundamental concepts of graph theory.
"'Near rings, Fuzzy Ideals and Graph Theory' is a very fascinating course to learn and show. Nearring Theory has enormous applications in different subject areas like digital computing, sequential mechanics, automata theory, graph theory and combinatorics. The first step towards nearrings was an axiomatic research done by Dickson in 1905. He exhibited that there do exist "fields with only one distributive law". Nearrings arise in a natural way, take the set M(G) of all mappings of a group (G, +) into itself, define addition '+' and point-wisely and 'o' as composition of mappings. Another example is that set of all polynomials with addition and substitution"--
Mode of access: World Wide Web.
9781439873113 (ebook : PDF)
Near-rings.
Fuzzy sets.
Graph theory.
Electronic books.
Near rings, fuzzy ideals, and graph theory [electronic resource] / Bhavanari Satyanarayana, Kuncham Syam Prasad. - Boca Raton : CRC Press, 2013. - x, 468 p. : ill.
Includes bibliographical references (p. 453-458) and index.
1. Preliminaries -- 2. Fundamentals of near rings -- 3. More concepts on near rings -- 4. Prime and semiprime ideals -- 5. Dimension and decomposition theory -- 6. Matrix near rings -- 7. Gamma near rings -- 8. Fuzzy aspects in near rings and gamma near rings -- 9. Fundamental concepts of graph theory.
"'Near rings, Fuzzy Ideals and Graph Theory' is a very fascinating course to learn and show. Nearring Theory has enormous applications in different subject areas like digital computing, sequential mechanics, automata theory, graph theory and combinatorics. The first step towards nearrings was an axiomatic research done by Dickson in 1905. He exhibited that there do exist "fields with only one distributive law". Nearrings arise in a natural way, take the set M(G) of all mappings of a group (G, +) into itself, define addition '+' and point-wisely and 'o' as composition of mappings. Another example is that set of all polynomials with addition and substitution"--
Mode of access: World Wide Web.
9781439873113 (ebook : PDF)
Near-rings.
Fuzzy sets.
Graph theory.
Electronic books.