منابع مشابه
Some Special Classes of Semirings and Ordered Semirings
In this paper, we study the properties of Semirings satisfyingthe identity a + ab = a. It is proved that, : Let (S , +, .) be a semiring which contains multiplicative identity 1, then a + ab = a for all a, b in S if and only if (S, + ) is absorbing.
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It is a well-known fact that the boolean calculus is one of the mathematical foundations of electronic computers. This explains the important role of the boolean semiring in computer science. The aim of this paper is to present other semirings that occur in theoretical computer science. These semirings were baptized tropical semirings by Dominique Perrin in honour of the pioneering work of our ...
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In this paper we study the notion of Smarandache semirings and semifields and obtain some interesting results about them. We show that not every semiring is a Smarandache semiring. We similarly prove that not every semifield is a Smarandache semifield. We give several examples to make the concept lucid. Further, we propose an open problem about the existence of Smarandache semiring S of finite ...
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The Witt construction describes a functor from the category of Rings to the category of characteristic 0 rings. It is uniquely determined by a few associativity constraints which do not depend on the types of the variables considered, in other words, by integer polynomials. This universality allowed Alain Connes and Caterina Consani to devise an analogue of the Witt ring for characteristic one,...
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Presenting a paper to any conference with the name ‘Keynes’ in the title, particularly to one sponsored by the Post Keynesian Study Group, is fraught with danger. For the exegitical debate about ‘what Keynes really meant’ is often carried out with as much fervour as the arguments between the Fathers of the early Church. Indeed, some of the latter material has a familiar sound. Origen, for examp...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1980
ISSN: 0263-6115
DOI: 10.1017/s144678870002190x