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On Near La-rings: Analysis of Non Associative and Non Commutative Structures
Fazal Rehman
On Near La-rings: Analysis of Non Associative and Non Commutative Structures
Fazal Rehman
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.
Media | Książki Paperback Book (Książka z miękką okładką i klejonym grzbietem) |
Wydane | 27 października 2011 |
ISBN13 | 9783846528372 |
Wydawcy | LAP LAMBERT Academic Publishing |
Strony | 68 |
Wymiary | 150 × 4 × 226 mm · 113 g |
Język | English |
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