Results 31 to 40 of about 323 (52)

On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups

Open Mathematics, 2020
In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
doaj   +1 more source

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

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  

The quantifier semigroup for bipartite graphs [PDF]

, 2011
In a bipartite graph there are two widely encountered monotone mappings from subsets of one side of the graph to subsets of the other side: one corresponds to the quantifier "there exists a neighbor in the subset" and the other to the quantifier "all ...
Schulman, Leonard J.
core  

Noetherian rings of composite generalized power series

Open Mathematics
Let 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, Chervak Ostap, Martynyuk Tetyana, Pylypovych Maksym, Ravsky Alex, Simkiv Markiyan   +5 more
doaj   +1 more source

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

A characterization of the translational hull of a weakly type B semigroup with E-properties

Open Mathematics
Recall that weakly type B semigroups are generalized inverse semigroups on semi-abundant semigroups. The main aim of this article is to prove that the translational hull of a weakly type B semigroup is still a semigroup of the same type.
Li Chunhua, Fang Jieying, Meng Lingxiang
doaj   +1 more source