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Wednesday, May 6, 2020 | History

5 edition of Power Algebras over Semirings found in the catalog.

Power Algebras over Semirings

With Applications in Mathematics and Computer Science (Mathematics and Its Applications)

by J.S. Golan

  • 225 Want to read
  • 34 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Fields & rings,
  • Rings,
  • Mathematics,
  • Science/Mathematics,
  • Algebra - General,
  • Discrete Mathematics,
  • General,
  • Mathematics / Algebra / General,
  • Mathematics-Discrete Mathematics,
  • Medical-General,
  • Group Theory,
  • Semirings (Mathematics)

  • The Physical Object
    FormatHardcover
    Number of Pages203
    ID Numbers
    Open LibraryOL7808985M
    ISBN 100792358341
    ISBN 109780792358343

    This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra.   Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of.

    There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - 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, ], first published by Longman. When that book went out of print, it became clear.   Y. Katsov, T. G. Nam and J. Zumbrägel, On congruence-semisimple semirings and the K 0 K_{0}-group characterization of ultramatricial algebras over semifields, J. Algebra (), – [25] B. Keller, Cluster algebras and derived categories, Derived Categories in Algebraic Geometry, EMS Ser. Congr. Rep.,Author: Antonio Di Nola.

    Note that the notion of a semilinear space first appeared in in connection with power algebras over semirings. It has been used later in [8] to explain fuzzy systems and their principles. Elements of a semilinear space will be called vectors and elements of a semiring scalars (called also coefficients).Cited by: interval semirings Download interval semirings or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get interval semirings book now. This site is like a library, Use search box in the widget to get ebook that you want.


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Power Algebras over Semirings by J.S. Golan Download PDF EPUB FB2

Buy Power Algebras over Semirings: With Applications in Mathematics and Computer Science (Mathematics and Its Applications) on FREE SHIPPING on qualified ordersCited by: This monograph is a continuation of several themes presented in my previous books [, ].

In those volumes, I was concerned primarily with the properties of semirings. Here, the objects of investigation are sets of the form RA, where R is a semiring and A is a set having a certain structure.

This monograph is a continuation of several themes presented in my previous books [, ]. In those volumes, I was concerned primarily with the properties of semirings. Here, the objects of investigation are sets of the form RA, where R is a semiring and A is a set having a certain Price: $ 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 published by Kluwer Academic Publishers in While each book can be read independently of the others, to get the full force of the theory and applications one should have access to all by: Power Algebras Over Semirings: With Applications In Mathematics And Computer Science by Jonathan S.

Golan / / English / PDF. Read Online Power Algebras over Semirings book Download. This monograph is a continuation of several themes presented in my previous books [, ]. In those volumes, I was concerned primarily with the properties of semirings.

Power Algebras Over Semirings 作者: Golan, Jonathan S. 出版年: 页数: 定价: $ ISBN: 豆瓣评分. Linked In This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g.

semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in. Algebra The word \algebra" means many things.

The word dates back about years ago to part of the title of al-Khwarizm ’s book on the subject, but the subject itself goes back years ago to ancient Babylonia and Egypt.

It was about solving numerical problems that we would now identify as linear and quadratic Size: 1MB. Now is the time to redefine your true self using Slader’s free Algebra 1 Common Core answers. Shed the societal and cultural narratives holding you back and let free step-by-step Algebra 1 Common Core textbook solutions reorient your old paradigms.

Power Algebras over Semirings by Jonathan S. Golan,available at Book Depository with free delivery worldwide. Firstly, antidomain semirings are semirings with an additional antidomain operation that models those states from which a given computation is not enabled. Secondly, test semirings are semirings endowed with a notion of test (as in a conditional or loop), proposition or assertion.

Finally, Kleene algebras with domain are antidomain semirings with an additional operation of finite iteration of Cited by: 4. Download Citation | Formal Series over Algebras | We define two types of series over Σ-algebras: formal series and, as a special case, term series.

By help of term series we define systems (of. This subsection is inspired by the book of Berstel and Reutenauer [2], which is the standard reference on formal power series. Let A be an alphabet and let k be a semiring. A formal power series over k with (non commutative) variables in A is a mapping s from A∗ to k.

The value of s on a word w is denoted (s,w). The range of s is the set of. Cite this chapter as: Golan J.S. () Semiring-valued Ideals in Semirings and Rings. In: Power Algebras over Semirings. Mathematics and Its Applications, vol Author: Jonathan S.

Golan. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: Jonathan S Golan. Some examples of such semirings are the semirings SrathhΣ∗ii of rational power series over Σ with coefficients in the semiring S, where S is either the semiring N of natural numbers or a nontrivial ring (if 1 ∗ = 1 ∗ 1 + 1, then 0 = 1).Author: S.

Bloom, Z. Esik, W. Kuich. 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 published by Kluwer Academic Publishers in generalization of polynomial semirings and content algebras and show that in content extensions for semirings, minimal primes extend to minimal primes and discuss zero-divisors of a content semialgebra over a semiring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals.

We also discuss formal power series semir. Buy Power Algebras over Semirings by Jonathan S. Golan from Waterstones today.

Click and Collect from your local Waterstones or get FREE UK delivery on orders over £Book Edition: Ed. Get this from a library. Power algebras over semirings: with applications in mathematics and computer science.

[Jonathan S Golan]. Learn about my books published by Dekel Publishing by by clicking here; Learn about my books published by Kluwer. Foundations of Linear Algebra.

Power Algebras over Semirings. Semirings .In this paper, we give semiring version of some classical results in commutative algebra related to Euclidean rings, PIDs, UFDs, G-domains, and GCD and integrally closed domains.

Some remarks on semirings and their ideals | Asian-European Journal of MathematicsCited by: 4.Power Algebras over Semirings: With Applications in Mathematics and Computer Science. [Jonathan S Golan] -- This research monograph investigates sets of the form RA where R is a semiring, and A is a set with a certain structure.