منابع مشابه
Tropical Semirings
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 ...
متن کاملThermodynamic Semirings
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,...
متن کاملSome 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.
متن کاملArchimedean Ice
The striking boundary dependency (the Arctic Circle phenomenon) exhibited in the ice model on the square lattice extends to other planar set-ups. We present these findings for the triangular and the Kagomé lattices. Critical connectivity results guarantee that ice configurations can be generated using the simplest and most efficient local actions. Height functions are utilized throughout the an...
متن کاملGlobal Newton Iteration over Archimedean and non-Archimedean Fields
In this paper, we study iterative methods on the coefficients of the rational univariate representation (RUR) of a given algebraic set, called global Newton iteration. We compare two natural approaches to define locally quadratically convergent iterations: the first one involves Newton iteration applied to the approximate roots individually and then interpolation to find the RUR of these approx...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications
سال: 2018
ISSN: 1509-9415,2084-0373
DOI: 10.7151/dmgaa.1282