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Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Feng +2 more
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On simpleness of semirings and complete semirings [PDF]
Journal of Algebra and Its Applications, 2014 In this paper, we investigate various classes of semirings and complete semirings regarding the property of being ideal-simple, congruence-simple, or both. Among other results, we describe (complete) simple, i.e. simultaneously ideal- and congruence-simple, endomorphism semirings of (complete) idempotent commutative monoids; we show that the concepts ...
Katsov, Yefim +2 more
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Siberian Mathematical Journal, 2023 AbstractWe prove that each element of a complete atomic $ l $-semiring has a canonical decomposition. We also find some sufficient conditions for the decomposition to be unique that are expressed by first-order sentences. As a corollary, we obtain a theorem of Avgustinovich–Frid which claims that each factorial language has the unique canonical ...
Ts. Ch.-D. Batueva, M. V. Schwidefsky
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*-μ-semirings and *-λ-semirings
Theoretical Computer Science, 2021 AbstractWe introduce and study *-μ-semirings and *-λ-semirings which generalize inductive *-semirings and weak inductive *-semirings, respectively. Also, we discuss the semiring of formal power series with coefficients in such a semiring and prove that the semiring of formal power series with coefficients in a weak inductive *-semiring [μ-semiring, λ ...
Feng Feng 0003 +2 more
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Translations in semirings and semiring of translations
Malaya Journal of Matematik, 2020 In this paper we describe the inner left [right] translations and bitranslations on a semiring \(s\) and it is shown that these translations in semirings provides representations of the semiring. In particular, here it is shown that the translations on a \(\Gamma\)-semiring is again a \(\Gamma\)-semiring.
null Siji Michael, null P. G. Romeo
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Invertible Ideals and Gaussian Semirings [PDF]
, 2017 In the first section of this paper, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain.
Ghalandarzadeh, Shaban +2 more
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On the Content of Polynomials Over Semirings and Its Applications [PDF]
, 2015 In this paper, we prove that Dedekind-Mertens lemma holds only for those semimodules whose subsemimodules are subtractive. We introduce Gaussian semirings and prove that bounded distributive lattices are Gaussian semirings.
Huckaba J. A. +4 more
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BRICS Report Series, 2000 One of the most well-known induction principles in computer science<br />is the fixed point induction rule, or least pre-fixed point rule. Inductive <br />*-semirings are partially ordered semirings equipped with a star operation<br />satisfying the fixed point equation and the fixed point induction rule for<br />linear terms ...
Ésik, Zoltán, Kuich, Werner
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Discussiones Mathematicae - General Algebra and Applications, 2002 Let \((S,+)\) be a semigroup and \(p>0\) an integer. If for any \(x\in S\) there exists some \(y\in S\) such that \(x+py+x=y\) and \(py+x+py=x\) then \((S,+)\) is called a \(p\)-semigroup. Near at hand examples are idempotent semigroups and groups which satisfy \(x+x=0\) for all \(x\in S\). A semiring \((S,+,\cdot)\) is called a \(p\)-semiring if \((S,+
Budimirovic, Branka +2 more
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Positivstellensätze for semirings
Mathematische Annalen, 2023 AbstractIn this paper we develop a number of results and notions concerning Positivstellensätze for semirings (preprimes) of commutative unital real algebras. First we reduce the Archimedean Positivstellensatz for semirings to the corresponding result for quadratic modules.
Schmüdgen, Konrad, Schötz, Matthias
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