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on O-simple semirings, semigroup semirings, and two kinds of division semirings
Semigroup Forum, 1984In 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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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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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 the Operator Semirings of a ?-Semiring
Southeast Asian Bulletin of Mathematics, 2003T. K. Dutta, S. K. Sardar
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Semiring-valued Ideals in Semirings and Rings
1999Let (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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On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective
Communications in Algebra, 2015S N Il'In, Y Katsov
exaly
Distributive lattice decompositions of semirings with a semilattice additive reduct
Semigroup Forum, 2010A K Bhuniya
exaly
RANK INEQUALITIES OVER SEMIRINGS
Journal of the Korean Mathematical Society, 2005LeRoy B Beasley, Alexander Guterman
exaly

