Results 101 to 110 of about 260 (138)

On the Semiring of Skew Polynomials over a Bezout Semiring

Mathematical Notes, 2022
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Babenko, M. V., Chermnykh, V. V.
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Locally Closed Semirings and Iteration Semirings

Monatshefte f�r Mathematik, 2004
A *-semiring is an additively commutative semiring \((S,+,\cdot)\) with absorbing zero and identity 1 equipped with a star operation \(^*\colon S\to S\). If \((x+y)^*=(x^*y)^*x^*\) and \((xy)^*=1+x(yx)^*y\) for all \(x,y\in S\) then \((S,+,\cdot)\) is called a Conway semiring.
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Provenance semirings

Proceedings of the twenty-sixth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, 2007
We show that relational algebra calculations for incomplete databases, probabilistic databases, bag semantics and why-provenance are particular cases of the same general algorithms involving semirings. This further suggests a comprehensive provenance representation that uses semirings of polynomials.
Todd J. Green, Gregory Karvounarakis, Val Tannen   +2 more
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ARMENDARIZ AND QUASI-ARMENDARIZ SEMIRINGS AND PS SEMIRINGS

Asian-European Journal of Mathematics, 2011
In this paper we extend some results of ([2], [11], [12], [13], [15]) for non commutative semirings with identity 1 ≠ 0. We prove the following theorems: (1) Let R be a CN-semiring such that 0 is a P-primary ideal of R and P2 = 0. Then R is a quasi-Armendariz semiring.
Gupta, Vishnu, Kumar, Pramod
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On the sentence valuation in a semiring

Information Sciences, 2003
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Adrian Atanasiu, Carlos Martín-Vide, Victor Mitrana   +2 more
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V-semirings

Siberian Mathematical Journal, 2012
A right \(V\)-semiring \(S\) is a semiring for which every simple right \(S\)-semimodule \(M\) is injective, i.e. any injective \(S\)-homomorphism from \(A\) to \(M\) may be extended to an \(S\)-homomorphism from \(B\) to \(M\), for every \(S\)-semimodule \(B\) and every subsemimodule \(A\) of \(B\).
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Iteration Semirings

2008
A Conway semiring is a semiring Sequipped with a unary operation *:Si¾?S, called star, satisfying the sum star and product star equations. An iteration semiring is a Conway semiring satisfying Conway's group equations. In this extended abstract, we review the role of iteration semirings in the axiomatization of regular languages and rational power ...
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on O-simple semirings, semigroup semirings, and two kinds of division semirings

Semigroup Forum, 1984
In this paper we consider O-simple semirings S, where O denotes the multiplicative zero of S, which may be in particular the additive neutral o of S at the same time. In this context we give some statements on matrix semirings and introduce contracted semigroup semirings in §3, a matter of interest of its own.
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On the Operator Semirings of a ?-Semiring

Southeast Asian Bulletin of Mathematics, 2003
T. K. Dutta, S. K. Sardar
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Semiring-valued Ideals in Semirings and Rings

1999
Let (R, +,·) and (S, ⊕, ⊙) be semirings. An R-valued left [resp. right] ideal of S is a R-valued subsemigroup f of (S, ⊕) which is not a constant function and which satisfies the following additional condition: $$f\left( {s' \odot s} \right) \geqslant f\left( s \right)\left[ {resp.\,f\left( {s \odot s'} \right) \geqslant f\left( s \right)} \right]\,
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