Книга: Ahmed Yunis Abdelwanis «Generalized Matrix Near Ring over Abstract Affine Near Ring»

Generalized Matrix Near Ring over Abstract Affine Near Ring

Производитель: "LAP Lambert Academic Publishing"

Near- rings and near -ring modules are the natural non-linear generalization of rings and ring modules. The first occurrence of near-rings was in 1905 when Dickson introduced near fields. Near -rings are very closely related to the theory of varieties of groups, and have applications in non-abelian homological algebra. The group -theoretic connection first appeared in work by H. Neumann 1954-1956. The theory of d. g near rings received a big boost when A. Frohlich published a series of papers in the period 1958-1962. In this book, we study some topics from near-ring such as abstract affine near rings, matrix near rings and generalized matrix near rings. In chapter three let A be an abstract affine near ring, N be a faithful near ring A-module and n be a positive integer. In this book we define the n?n generalized matrixe near ring over A using the faithful near ring A-module N. ISBN:9783659164033

Издательство: "LAP Lambert Academic Publishing" (2012)

ISBN: 9783659164033

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