One-sided complements and solutions of the equation aXb=c in semirings

Given multiplicatively-regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb=c. This result is then extended to equations over matrix semirings.

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Bibliographic Details
Main Authors: Sam L. Blyumin, Jonathan S. Golan
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202007792
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