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Algebra and Coalgebra on Posets: 《Open Journal of Applied Sciences》2022年第7期1232-1242,共11页Rongrong Yuan Huilan Li; A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. ...; 关键词：Conjunction Product Unshuffle Coproduct POSET Graded Free

A Novel Framework for Lim-inf Convergence in Posets被引量：1: 《Acta Mathematica Sinica,English Series》2022年第5期953-962,共10页Bin ZHAO Jing LU; Supported by the National Natural Science Foundation of China(Grant Nos.11531009,12101383);the Fundamental Research Funds for the Central Universities(Grant No.GK202103006)。; In this paper,we give a novel framework for lim-inf convergence in posets through the concept of T_(0) enriched closure spaces.More precisely,we define and study Enr-convergence in T_(0) enriched closure spaces.Especi...; 关键词：Closure opeartor lim-inf convergence Enr-convergence enriched continuous space

On a Graph Related to Subgroups Generated by a Conjugacy Class in Finite Groups: 《Algebra Colloquium》2020年第2期193-198,共6页S.M.Robati; Let G be a group,and let →/ΓC(G) be a digraph whose vertices are the nontrivial conjugacy classes of G and there is an arc from a vertex C to a vertex C' if and only if C≠C' and(C)■(C').In this paper,we characteri...; 关键词：conjugacy classes POSETS GRAPHS finite groups

A Characterization of PSL(2,q),q=5,7: 《Algebra Colloquium》2019年第4期561-564,共4页Marius Tarnauceanu Jiping Zhang; In this short note we prove that the finite non-abelian simple groups PSL(2,q),where g=5,7,are determincd by their posets of classes of isomorphic subgroups.Several interesting open problems are also formulated.; 关键词：simple groups solvable groups posets of isomorphic subgroups

Cyclic posets and triangulation clusters: 《Science China Mathematics》2019年第7期1289-1316,共28页Kiyoshi Igusa Gordana Todorov; Triangulated categories coming from cyclic posets were originally introduced by the authors in a previous paper as a generalization of the constructions of various triangulated categories with cluster structures.We gi...; 关键词：CACTUS CYCLIC POSET cluster structure triangulated CATEGORIES Frobenius CATEGORIES COCYCLE

The Measurement Topology and the Density Topology of Posets被引量：2: 《Journal of Mathematical Research with Applications》2018年第4期341-350,共10页Xuxin MAO Luoshan XU; Supported by the National Natural Science Foundation of China(Grant Nos.11671008;11101212);the University Science Research Project of Jiangsu Province(Grant No.15KJD110006); In this paper,the concepts of the essential topology and the density topology of dcpos are generalized to the setting of general posets.Basic properties of the essential topology and relations with other intrinsic top...; 关键词：essential topology density topology measurement topology continuous poset BASIS

The Folded(2D+1)-cube and Its Uniform Posets: 《Acta Mathematicae Applicatae Sinica》2018年第2期281-292,共12页Li-hang HOU BO HOU Suo-gang GAO; Supported by the Natural Science Foundation of China(No.11471097);the Innovative Fund Project of Hebei Province(sj.2017084); Let F denote the folded （2D ＋ 1）-cube with vertex set X and diameter D ≥ 3. Fix x∈ X. We first define a partial order ≤ on X as follows. For y,z ∈ X let y ≤ z whenever （x,y）＋（y,z） =- （x, z）. Let R ...; 关键词：distance-regular graph the folded （2D ＋ 1）-cube uniform poset

On Rees Factor S-Posets Satisfying Condition (Pw): 《Journal of Mathematical Research with Applications》2016年第5期521-526,共6页Roghaieh KHOSRAVI; In tills paper, we present some homologleal classlhcatlons ot pomonolcls by using Rees factor S-posets satisfying condition （Pw）.; 关键词：Pomonoids S-posets condition （Pw）

Hypercontinuous Posets: 《Chinese Annals of Mathematics,Series B》2015年第2期195-200,共6页Wenfeng ZHANG Xiaoquan XU; supported by the National Natural Science Foundation of China(Nos.10861007,11161023);the National Excellent Doctoral Dissertation of China(No.2007B14);the Ganpo 555 Programme for Leading Talents of Jiangxi Province,the Natural Science Foundation of Jiangxi Province(No.20114BAB201008);the Fund of Education Department of Jiangxi Province(No.GJJ12657); The concepts of hypercontinuous posets and generalized completely continuous posets are introduced. It is proved that for a poset P the following three conditions are equivalent:(1) P is hypercontinuous;(2) the dual o...; 关键词：Hypercontinuous posets Generalized completely continuous posets Normal completion

The Free Abjects in the Category of Complete L-fuzzy Posets: 《Chinese Quarterly Journal of Mathematics》2013年第3期331-337,共7页ZHOU Yi-hui; The free object generated by a set in the category of complete L-fuzzy posets is discussed in this paper. The construction of a free complete L-fuzzy poset generated by a set is obtained, which is a generalization of ...; 关键词：L-fuzzy poset complete L-fuzzy poset CATEGORY free object

POSETS