Bibhas Chandra Saha

Study of Some Problems Associated with Semirings and Gamma Semirings

Nobusawa Gamma semirings, ideals, pre-prime and pre-semiprime ideals, h-prime and h-semiprime ideals, F-semiprime ideals, matrix semirings

• Broschiertes Buch

Produktbeschreibung

In 1964, the notion of Gamma-ring was introduced by N. Nobusawa to provide algebraic home to Hom(A,B) and Hom(B,A) where A, B are additive abelian groups. The notion of semiring was introduced by H. S. Vandiver in 1934. Gamma-semiring was introduced by M.M.K. Rao in 1995 as a generalization of semiring as well as of Gamma-ring. With every Gamma-semiring there corresponds two semirings namely the left operator semiring and the right operator semiring. The natural growth of Gamma-semirings is influenced by two things - one is the generalization of results of Gamma-rings and another is the generalization of results of semirings. Motivated by the efficacy of operator semirings, we introduced here Nobusawa Gamma-semirings. We also explored some relevant aspects of semirings namely h-prime, h-semiprime, F-semiprime ideals of semirings and their subsequent generalization to Gamma-semirings. Finally we define a semiring denoted by S2 = (R, Gamma, S, L) over a Nobusawa Gamma-semiring and combine the study of semiring and Gamma-semiring accomplished so far in the form of obtaining i) characterization of various types of ideals of S2 and ii) connections between S2 and Morita context.

Produktdetails

• Verlag: VDM Verlag Dr. Müller
• Seitenzahl: 168
• Englisch
• Abmessung: 220mm x 150mm x 9mm
• Gewicht: 240g
• ISBN-13: 9783639242829
• ISBN-10: 3639242823
• Artikelnr.: 33069628

Autorenporträt

M. Sc.: Burdwan University, India, Ph. D.: Jadavpur University, India, Subject of Interset: Algebra, Analysis, Topology, Publication: 9 research papers in various journals, Present Posotion: Assistant Professor in Department of Mathematics, Chandidas Mahavidyalaya, Khujutipara, India.