Results 31 to 40 of about 67 (66)

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

Directed colimits of some flatness properties and purity of epimorphisms in S-posets

Open Mathematics, 2018
Let S be a pomonoid. In this paper, we introduce some new types of epimorphisms with certain purity conditions, and obtain equivalent descriptions of various flatness properties of S-posets, such as strong flatness, Conditions (E), (E′), (P), (Pw), (WP),
Liang Xingliang, Khosravi Roghaieh
doaj   +1 more source

A further study on ordered regular equivalence relations in ordered semihypergroups

Open Mathematics, 2018
In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Tang Jian, Feng Xinyang, Davvaz Bijan, Xie Xiang-Yun   +3 more
doaj   +1 more source

n–ary hyperstructures constructed from binary quasi–ordered semigroups

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Based on works by Davvaz, Vougiouklis and Leoreanu-Fotea in the field of n–ary hyperstructures and binary relations we present a construction of n–ary hyperstructures from binary quasi-ordered semigroups.
Novák Michal
doaj   +1 more source

On Unitary down-closed regular monomorphisms of pomonoid actions

, 2018
In this paper we characterize injective objects in the category of S-posets and S-poset maps for a pomonoid S, with respect to the class of unitary down- closed embeddings.
Farsad, Farideh, Madanshekaf, Ali
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Quasi injectivity and θ-internal order sum in partially ordered acts

, 2019
Injectivity (weakly injectivity) of objects is an important concept which category theory inherited from homological and commutative algebra. One of the useful kinds of weakly injectivity is quasi injectivity. In this paper, we study the relation between
Yavari, Mahdieh
core  

On a generalization of I-regularity

Open Mathematics
Let SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
doaj   +1 more source

Some properties of residuated lattices

, 2003
We investigate some (universal algebraic) properties of residuated lattices -algebras which play the role of structures of truth values of various systems of fuzzy logic.
Radim Bělohlávek, Ostrava
core  

P A ON (m, n)-IDEALS OF AN ORDERED SEMIGROUP

, 2015
: In this paper we introduce the concept of (m, n)-simple ordered semigroups extending the notion of simple ordered semigroups, and prove that an ordered semigroup (S, ·, ≤) does not contain proper (m, n)-ideals if and only if it is both (m, 0)-simple ...
Thawhat Changphas
core