Matrix representation of simple halfrings-Reference-Cited by-同舟云学术

Matrix representation of simple halfrings

Published:1977 Issue:0 Volume:233 Page:339-353
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Stone H. E.

Abstract

The structure of halfrings which are strong direct sums of minimal subtractive right ideals is studied. A class of right simple hemirings which contains both division hemirings and differential subsemirings of division rings is introduced and studied extensively as a tool in this investigation. A matrix representation is obtained for a class of halfrings which properly includes differential subsemirings of simple Artinian rings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1977-233-00/S0002-9947-1977-0466233-5/S0002-9947-1977-0466233-5.pdf

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5. Semisimple 𝐴-semigroups and semirings;Grillet, Mireille Poinsignon;Fund. Math.,1972

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1. Semirings and Semifields;Handbook of Algebra;1996

2. on O-simple semirings, semigroup semirings, and two kinds of division semirings;Semigroup Forum;1984-12