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

