A representation theorem for quantale valued sup-algebras

被引：3
|
作者：
Paseka, Jan [1 ]
Slesinger, Radek [1 ]
机构：
[1] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, CZ-61137 Brno, Czech Republic
来源：
2018 IEEE 48TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2018) | 2018年
基金：
奥地利科学基金会;
关键词：
sup-lattice; sup-algebra; quantale; Q-module; Q-order; Q-sup-lattice; Q-sup-algebra;
D O I：
10.1109/ISMVL.2018.00024
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
With this paper we hope to contribute to the theory of quantales and quantale-like structures. It considers the notion of Q-sup-algebra and shows a representation theorem for such structures generalizing the well-known representation theorems for quantales and sup-algebras. In addition, we present some important properties of the category of Q-sup-algebras.
引用
收藏
页码：91 / 96
页数：6
相关论文
共 50 条
  • [1] QUANTALE-VALUED SUP-ALGEBRAS
    Slesinger, R.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2018, 15 (02): : 53 - 73
  • [2] Quotients and subalgebras of sup-algebras
    Zhang, Xia
    Laan, Valdis
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2015, 64 (03) : 311 - 322
  • [3] Projective sup-algebras: a general view
    Paseka, Jan
    TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (04) : 308 - 317
  • [4] Quantale algebras as lattice-valued quantales
    Zhao, Bin
    Wu, Supeng
    Wang, Kaiyun
    SOFT COMPUTING, 2017, 21 (10) : 2561 - 2574
  • [5] Quantale algebras as lattice-valued quantales
    Bin Zhao
    Supeng Wu
    Kaiyun Wang
    Soft Computing, 2017, 21 : 2561 - 2574
  • [6] Quantale algebras as a generalization of lattice-valued frames
    Solovyov, Sergey A.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (03): : 781 - 809
  • [7] Quantale-valued convex structures as lax algebras
    Pang, Bin
    FUZZY SETS AND SYSTEMS, 2023, 473
  • [8] A REPRESENTATION THEOREM FOR ALGEBRAS WITH INVOLUTION
    QUEBBEMANN, HG
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 94 : 193 - 195
  • [9] Quantale-Valued Uniformizations of Quantale-Valued Generalizations of Approach Groups
    Ahsanullah, T. M. G.
    Jaeger, Gunther
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2019, 15 (03) : 517 - 538
  • [10] A theorem of representation for Hilbert algebras
    Tascau, Dan Dorin
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2010, 37 (03): : 130 - 137
12345