Results 31 to 40 of about 345 (71)
Prime and primary ideals in characteristic one [PDF]
, 2013 We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version.
Lescot, Paul
core
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
Fuzzy ideals of ordered semigroups with fuzzy orderings
Open Mathematics, 2016 The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals
Huang Xiaokun, Li Qingguo
doaj +1 more source
Max-plus (A,B)-invariant spaces and control of timed discrete event systems
, 2007 The concept of (A,B)-invariant subspace (or controlled invariant) of a linear dynamical system is extended to linear systems over the max-plus semiring. Although this extension presents several difficulties, which are similar to those encountered in the ...
Katz, Ricardo David
core +1 more source
Purely infinite crossed products by endomorphisms [PDF]
, 2013 We study the crossed product $C^*$-algebra associated to injective endomorphisms, which turns out to be equivalent to study the crossed product by the dilated autormorphism.
Eduard Ortega +3 more
core
Rational semimodules over the max-plus semiring and geometric approach of discrete event systems [PDF]
, 2002 We introduce rational semimodules over semirings whose addition is idempotent, like the max-plus semiring, in order to extend the geometric approach of linear control to discrete event systems.
Gaubert, Stephane, Katz, Ricardo
core +4 more sources
Noetherian rings of composite generalized power series
Open MathematicsLet A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj +1 more source
Kuratowski Monoids of n-Topological Spaces
Topological Algebra and its Applications, 2018 Generalizing the famous 14-set closure-complement Theorem of Kuratowski from 1922, we prove that for a set X endowed with n pairwise comparable topologies Ʈ1 ⊂ · · · ⊂ Ʈn, by repeated application of the operations of complement and closure in the ...
Banakh Taras +5 more
doaj +1 more source
Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space [PDF]
, 2017 The notion of a generalized effect algebra is presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on a Hilbert space with the usual sum of operators ...
Janda , Jirí
core
On f - prime radical in ordered semigroups
Open Mathematics, 2018 In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
doaj +1 more source