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http://dx.doi.org/10.14317/jami.2012.30.3_4.693

SOME QUOTIENT STRUCTURES OF A SEMIRING

Kim, Young-Hee (Department of Mathematics, College of Natural Sciences, Chungbuk National University)

Publication Information

Journal of applied mathematics & informatics / v.30, no.3_4, 2012 , pp. 693-697 More about this Journal

Abstract

In this note, we discuss $N(R,<_R)$-structure in a semiring, and show that if ( $R,+,{\cdot}$ ) is a cancellative $<_+$-stable semiring, then ($R/N(R,<_+),+,{\cdot}$) is a semiring.

Keywords

semiring; quotient structure; $<_+$-stable; cancellative;

Citations & Related Records

Reference

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