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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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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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Clean semiring

Beitrage Zur Algebra Und Geometrie, 2022
S Kar
exaly  

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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The Metric Dimension of the Zero-Divisor Graph of a Matrix Semiring

Bulletin of the Malaysian Mathematical Sciences Society, 2023
David Dolžan
exaly  

The endomorphism semiring of a semilattice

Semigroup Forum, 2008
J Jezek
exaly  

INTUITIONISTIC FUZZY WEAK CONGRUENCES ON A SEMIRING

International Journal of Fuzzy Logic and Intelligent Systems, 2006
Kul Hur
exaly  

Embedding of a semiring into a semiring with identity

Acta Mathematica Academiae Scientiarum Hungaricae, 1969
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The Drazin inverse in an arbitrary semiring

Linear and Multilinear Algebra, 2011
Israr Ali Khan, Qing-Wen Wang
exaly  

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