On Near LA-Rings

ISBN-13: 9783846528372 / Angielski / Miękka / 68 str.

Fazal Rehman

Opis

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.

O autorze

Mr. Fzazl Ur Rehman did his M.Phil from Quaid-i-Azam University Islamabad, Pakistan in 2010. His research is based on non-associative and non-commutative algebraic structures. So for his two research articles have been published in well reputed International Journals. At present, he is a Lecturer in the Department of Mathematics MUST.