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Anglický jazyk
Characterizations of Prime and Semiprime Gamma Rings with Derivations
Autor: Md. Mizanor Rahman
Gamma ring was first introduced by N. Nobusawa as a generalization of a classical ring. W. E. Barnes generalized the definition of a gamma ring due to Nobusawa. Presently the gamma ring due to Barnes is known as a gamma ring and gamma ring due to Nobusawa... Viac o knihe
Na objednávku
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O knihe
Gamma ring was first introduced by N. Nobusawa as a generalization of a classical ring. W. E. Barnes generalized the definition of a gamma ring due to Nobusawa. Presently the gamma ring due to Barnes is known as a gamma ring and gamma ring due to Nobusawa is known as gamma ring in the sense of Nobusawa and is denoted by G¿-ring. It is clear that every ring is a gamma ring and every G¿-ring is also a G-ring. Actually, W.E.Barnes, J.Luh and S.Kyuno studied the structures of G-rings and obtained various generalizations analogous to the corresponding parts in ring theory. Afterwards a number of algebraists have determined a lot of fundamental properties of G-rings to classify and extend numerous significant results in classical ring theory to G-ring theory. This work, entitled "Characterizations of Prime and Semiprime Gamma Rings with Derivations and Lie Ideals", aims to characterize prime and semiprime G-rings with various types of left derivations, derivations, generalized derivations, higher derivations, derivations on Lie ideals and (U,M)-derivations.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2016
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783659906114
