Results 41 to 50 of about 6,421 (176)

Chain Conditions on Semirings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
In this paper we characterize the class of semirings S for which the semirings of square matrices Mn(S) over S are (left) k-artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.
T. K. Mukherjee, M. K. Sen, Shamik Ghosh
doaj   +1 more source

Hard to Detect Factors of Univariate Integer Polynomials

open access: yesMathematics, 2023
We investigate the computational complexity of deciding whether a given univariate integer polynomial p(x) has a factor q(x) satisfying specific additional constraints.
Alberto Dennunzio   +2 more
doaj   +1 more source

All Regular-Solid Varieties of Idempotent Semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties of semirings.
Hounnon Hippolyte
doaj   +1 more source

Fuzzy soft k−ideals over semiring and fuzzy soft semiring homomorphism [PDF]

open access: yesJournal of Hyperstructures, 2015
In this paper, we introduce the notion of fuzzy soft semirings, fuzzy soft ideals, fuzzy soft k− ideals , k−fuzzy soft ideals over semirings and fuzzy soft semiring homomorphism. We study some of their algebraical properties and properties of homomorphic
Marapureddy Murali Krishna Rao   +1 more
doaj   +1 more source

Linear Systems over Join-Blank Algebras [PDF]

open access: yes, 2017
A central problem of linear algebra is solving linear systems. Regarding linear systems as equations over general semirings (V,otimes,oplus,0,1) instead of rings or fields makes traditional approaches impossible.
Jananthan, Hayden   +2 more
core   +2 more sources

On p-semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2002
Let \((S,+)\) be a semigroup and \(p>0\) an integer. If for any \(x\in S\) there exists some \(y\in S\) such that \(x+py+x=y\) and \(py+x+py=x\) then \((S,+)\) is called a \(p\)-semigroup. Near at hand examples are idempotent semigroups and groups which satisfy \(x+x=0\) for all \(x\in S\). A semiring \((S,+,\cdot)\) is called a \(p\)-semiring if \((S,+
Budimirovic, Branka   +2 more
openaire   +2 more sources

Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings

open access: yesJournal of Mathematics, 2019
In this paper, we have defined ordered quasi-Γ-ideals and ordered bi-Γ-ideals in ordered Γ-semirings by defining the relation “≤” in ordered Γ semiring S as a≤b if a+x=b for any a,b,x∈S.
Ali N. A. Koam   +2 more
doaj   +1 more source

Positivstellensätze for semirings

open access: yesMathematische Annalen, 2023
AbstractIn this paper we develop a number of results and notions concerning Positivstellensätze for semirings (preprimes) of commutative unital real algebras. First we reduce the Archimedean Positivstellensatz for semirings to the corresponding result for quadratic modules.
Schmüdgen, Konrad, Schötz, Matthias
openaire   +2 more sources

Some Properties of Q-Neutrosophic Ideals of Semirings [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
The intention of this paper is to introduce and study some properties of the ideals of semirings using the concept of Q-neutrosophic set.
Debabrata Mandal
doaj   +1 more source

Strongly Clean Semiring

open access: yesProceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022
Abstract In this paper, we introduce and study the concept of strongly clean semiring. Let S be a semiring. An element a ∈ S is called strongly clean if a = e+u with e an idempotent in S and u a unit in S such that eu = ue. A semiring S is said to be strongly clean if every nonzero element of S is strongly clean.
D. Das, S. Kar
openaire   +1 more source

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