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ON THE RADICAL OF A POSITIVE SEMIRING [PDF]
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Separating OR, SUM, and XOR Circuits. [PDF]
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On 0-simple semirings, semigroup semirings, and two kinds of division semirings
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On the Semiring of Skew Polynomials over a Bezout Semiring
Mathematical Notes, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babenko, M. V., Chermnykh, V. V.
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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 +2 more
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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 +2 more
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Locally Closed Semirings and Iteration Semirings
Monatshefte f�r Mathematik, 2004A *-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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ARMENDARIZ AND QUASI-ARMENDARIZ SEMIRINGS AND PS SEMIRINGS
Asian-European Journal of Mathematics, 2011In 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, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adrian Atanasiu +2 more
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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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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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