Matrix representation of simple halfrings

Stone, H. E.

doi:10.1090/S0002-9947-1977-0466233-5

Matrix representation of simple halfrings
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by H. E. Stone

Trans. Amer. Math. Soc. 233 (1977), 339-353

DOI: https://doi.org/10.1090/S0002-9947-1977-0466233-5

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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.

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Über die Struktursatze der Halfringe

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