POSETS

作品数：16被引量：4H指数：1
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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 
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 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 
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 
Prinjective Ringel-Hall Algebras for Posets of Finite Prinjective Type
《Acta Mathematica Sinica,English Series》2009年第7期1183-1190,共8页Justyna KOSAKOWSKA 
In the present paper we investigate prinjective Ringel-Hall algebras, for prinjective modules over incidence algebras of posers of finite prinjective type. Results we obtain are analogous to these, given by C. M. Ring...
关键词：prinjective modules poset representations Ringel-Hall algebras Hall polynomials 
The Direct Product of Graded Finite Posets
《Chinese Quarterly Journal of Mathematics》2008年第3期430-436,共7页LIU Wei CHEN Shu-wei JIANG Bao-qing 
Supported by the National Natural Science Foundation of China（60474022）; Supported by the Henan Innovation Project for University Prominent Research Talents（2007KYCX018）
A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite p...
关键词：Graded poset graded finite poset graded function direct product connected post 
The Semimodularity of Cardinal Power of Posets
《Chinese Quarterly Journal of Mathematics》1997年第1期47-51, ,共5页胡长流 
Let X,Y be any posets,the semimodularity of cardinal power Yx with base Y and exponent X is studied. Some necessary or sufficient conditions for Yx to be semimodular are gaven,
关键词：POSET cardinal power of posets seimodularity 
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