Results 1 to 10 of about 6,421 (176)

On a variety of commutative multiplicatively idempotent semirings

, 2016
We prove that the variety V of commutative multiplicatively idempotent semirings satisfying x + y + xyz = x + y is generated by single semirings. Moreover, we describe a normal form system for terms in V and we show that the word problem in V is solvable.
Chajda, Ivan, Länger, Helmut
core   +1 more source

On quasi-ideals and bi-ideals in ternary semirings

International Journal of Mathematics and Mathematical Sciences, 2005
We introduce the notions of quasi-ideal and bi-ideal in ternary semirings and study some properties of these two ideals. We also characterize regular ternary semiring in terms of these two subsystems of ternary semirings.
S. Kar
doaj   +1 more source

Every simple compact semiring is finite

, 2015
A Hausdorff topological semiring is called simple if every non-zero continuous homomorphism into another Hausdorff topological semiring is injective. Classical work by Anzai and Kaplansky implies that any simple compact ring is finite. We generalize this
Schneider, Friedrich Martin, Zumbrägel, Jens   +1 more
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On Jordan mappings of inverse semirings

Open Mathematics, 2017
In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
doaj   +1 more source

Coupled right orthosemirings induced by orthomodular lattices

, 2017
L. P. Belluce, A. Di Nola and B. Gerla established a connection between MV-algebras and (dually) lattice ordered semirings by means of so-called coupled semirings.
Chajda, Ivan, Länger, Helmut
core   +2 more sources

Derivations on the matrix semirings of max-plus algebra [PDF]

Journal of Mahani Mathematical Research
Let $(S,\oplus,\otimes)$ be a matrix semiring of max-plus algebra with the addition operation $\oplus$ and the multiplication operation $\otimes$, where the set \( S \) consists of matrices constructed from real numbers together with the element negative
Suffi Nuralesa, Nikken Puspita
doaj   +1 more source

On the dimension of polynomial semirings [PDF]

, 2015
In our previous work, motivated by the study of tropical polynomials, a definition for prime congruences was given for an arbitrary commutative semiring.
Joó, Dániel, Mincheva, Kalina
core   +1 more source

Algebraic structures of tropical mathematics

, 2013
Tropical mathematics often is defined over an ordered cancellative monoid $\tM$, usually taken to be $(\RR, +)$ or $(\QQ, +)$. Although a rich theory has arisen from this viewpoint, cf.
Izhakian, Zur, Knebusch, Manfred, Rowen, Louis   +2 more
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On quasi-ideals of semirings

International Journal of Mathematics and Mathematical Sciences, 1994
Several statements on quasi-ideals of semirings are given in this paper, where these semirings may have an absorbing element O or not. In Section 2 we characterize regular semirings and regular elements of semi-rings using quasi-ideals (cf. Thms.
Christoph Dönges
doaj   +1 more source

Skew Continuous Morphisms of Ordered Lattice Ringoids

Mathematics, 2016
Skew continuous morphisms of ordered lattice semirings and ringoids are studied. Different associative semirings and non-associative ringoids are considered. Theorems about properties of skew morphisms are proved. Examples are given.
Sergey Victor Ludkowski
doaj   +1 more source