Simple Commutative Semirings
نویسندگان
چکیده
منابع مشابه
A note on finitely generated ideal-simple commutative semirings
Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
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In the paper, commutative semigroups simple over their endomorphism semirings are investigated. In particular, commutative semigroups having just two fully invariant congruences are classified into five basic types and each of these types
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One-generated commutative division semirings are found. The aim of this (partially expository) note is to find all one-generated (commutative) division semirings (see Theorem 8.5). In particular, all such semirings turn out to be finite. To achieve this goal, we have to correct some results from [1] (especially Proposition 12.1 of [1]) and to complete some results from [2]. Anyway, all the pres...
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The relationship between MV-algebras and semirings was described by A. Di Nola and B. Gerla ([7]). Since commutative basic algebras are similar to MV-algebras up to associativity of the binary operation we try to get a similar relationship between commutative basic algebras and so-called near semirings and we show that this is possible. This means that associativity does not play an important r...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8483