On Near LA-Rings

On Near LA-Rings

Analysis of non associative and non commutative structures

LAP Lambert Academic Publishing ( 2011-10-17 )

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We introduce the notion of a near left almost ring (abbreviated as nLA-ring) which is in fact a generalization of left almost ring. A near left almost ring is a non-associative structure with respect to both the binary operations "+" and ".". However, it possesses properties which we usually encounter in "near ring" and "LA-ring". Historically, the first step towards the near-rings in axiomatic research was done by Dickson in 1905. He showed that there do exist, "Fields" with only one distributive law" (Near-fields) some year later these near-fields showed up the connection between near-field’s and fixed-point free permutation groups. A couple of years later Veblen and Wedderburn started to use near-field’s coordinatize certain kinds of geometric planes.

Book Details:

ISBN-13:

978-3-8465-2837-2

ISBN-10:

3846528374

EAN:

9783846528372

Book language:

English

By (author) :

Fazal Rehman

Number of pages:

68

Published on:

2011-10-17

Category:

Mathematics