Results 61 to 70 of about 487 (71)
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Varieties of idempotent semirings with commutative addition

Algebra universalis, 2005
Let \(\mathbf B\) be the variety of all bands, \(\mathbf{RB}\) the subvariety of all regular bands, and \({\mathbf S}\ell\) the subvariety of all semilattices. A semiring \((S,+,\cdot)\) is called idempotent, if \((S,+)\) and \((S,\cdot)\) belong to \(\mathbf B\).
Pastijn, Francis, Zhao, Xianzhong
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On Additive Semigroups of Idempotent Semirings with Identity

Mathematical Notes
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrov, A. A., Shklyaev, A. P.
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Idempotent semirings with a commutative additive reduct

Semigroup Forum, 2001
Let \(\mathbf I\) be the variety of all additively and multiplicatively idempotent semirings, and \({\mathbf S}^+\ell\) the subvariety of all \((S,+,\cdot)\in{\mathbf I}\) for which \((S,+)\) is a semilattice. Then for any nonempty set \(X\) a free semiring \((\overline P_f(F_X),+,\cdot)\in{\mathbf S}^+\ell\) is constructed in the following way.
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Factor rank preservers of matrices over additively-idempotent multiplicatively-cancellative semirings

Asian-European Journal of Mathematics, 2020
Here, we characterize the linear operators that preserve factor rank of matrices over additively-idempotent multiplicatively-cancellative semirings. The main results in this paper generalize the corresponding results on the two element Boolean algebra [L. B. Beasley and N. J. Pullman, Boolean-rank-preserving opeartors and Boolean-rank-1 spaces, Linear
Maity, Sushobhan, Bhuniya, A. K.
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Derivations of upper triangular matrix semirings

Linear and Multilinear Algebra, 2022
exaly  

Algebraic notions of nontermination: Omega and divergence in idempotent semirings

The Journal of Logic and Algebraic Programming, 2010
Peter Höfner, Georg Struth
exaly  

The Zeleznikov problem on a class of additively idempotent semirings

Journal of the Australian Mathematical Society, 2013
openaire  

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