Matrix representation of simple halfrings
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This article is published in Transactions of the American Mathematical Society.The article was published on 1977-10-01 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Logical matrix & Matrix representation.read more
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Book ChapterDOI
Semirings and Semifields
U Hebisch,Hanns Joachim Weinert +1 more
TL;DR: Semirings are those that originate from rings, by cancelling the assumption that a ring-like universal algebra has to be a group as discussed by the authors, and semirings with different properties have become important in theoretical computer science.
Journal ArticleDOI
on O-simple semirings, semigroup semirings, and two kinds of division semirings
TL;DR: In this article, the authors consider O-simple semirings, where O denotes the multiplicative zero of a semirithm, which may be in particular the additive neutral o of S at the same time, and show that a corresponding theorem in [18] is in general only valid for division semiirings in the usual meaning.
Journal ArticleDOI
Chain Conditions on Semirings
TL;DR: In this article, the class of semirings S for which the semiirings of square matrices Mn(S) over S are (left) k-artinian is characterized.
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k-Congruences on semirings
TL;DR: For any semiring, the concept of k-congruences is introduced, criteria for kcongruence are established, and it is proved that there is an inclusion-preserving bijection between k-convexity and k-ideals as discussed by the authors.
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