- Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of ...
In this volume, we chart the state of the art on solving this problem, and present many specific cases of applications. This book is essentially the third part of a trilogy, along with Semirings and their Applications, and Power Algebras over Semirings, both written by the same author and ...
W. G. van Hoorn and B. V. Rootselaar, ‘‘Fundamental notions in the theory of seminearrings,’’ Compos. Math. 18, 65–78 (1967). MathSciNet MATH Google Scholar H. J. Weinert, ‘‘Semi-nearrings, semi-nearfields and their semigroup-theoretical background,’’ Semigroup Forum24...
In this paper, as a generalization of prime Boolean matrices and prime fuzzy matrices, we study semiprime matrices over chain semirings using the relationship between semiprime matrices and their row spaces. We show that a nonmonomial matrix with full semiring rank can be expressed as a product...
We generalize the constructions of layered domains to layered semirings, in order to enrich the structure, and in particular to provide finite examples for applications in arithmetic. The layered category theory is extended accordingly, to cover noncancellative monoids, which are examined in their ...
1.1. Witt vectors and their characteristic one analogs 3 2. Preliminary notions 4 2.1. Frobenius in characteristic one 5 2.2. Legendre transform 5 2.3. Witt ring construction in characteristic one 7 3. Axioms for Entropy Functions 8 4. Thermodynamic semirings 11 ...
Sturdy frames of type (2,2) algebras and their applications to semirings Zhao X Z,Guo Y Q,Shum K P.Sturdy Frame of Type(2, 2)Algebras and Their Application to Semirings[J]. Fund.Math,2003,179:69--81... XZ Zhao,YQ Guo,KP Shum - 《Fundamenta Mathematicae》 ...
automata (see also [27]). For an improved treatment of his solutions, and fur- ther references, we refer the reader to [28]. Further examples of applications of the tropical semiring may be found in, e.g., [24, 25, 35].
Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications Regular Articles Empirical likelihood for quantile regression models with response data missing at random Regular Articles Convex combination of analytic functions Regular Articles On the Yang-Baxter-like ...
‐π‐Reversible ‐Semirings and Their Applications to Generalized Inversesdoi:10.1155/jom/5289722Zhuo, YuanfanGu, QinqinSu, HuadongJournal of Mathematics