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

Sam L. Blyumin; Jonathan S. Golan

doi:10.1155/S0161171202007792

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

Sam L. Blyumin
, Jonathan S. Golan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	453-458
Number of pages	6
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	29
Issue number	8
DOIs	https://doi.org/10.1155/S0161171202007792
State	Published - 2002

ASJC Scopus subject areas

Mathematics (miscellaneous)

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

abstract = "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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AU - Golan, Jonathan S.

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AB - 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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DO - 10.1155/S0161171202007792

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VL - 29

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 8

ER -

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

Abstract

ASJC Scopus subject areas

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