Kites and residuated lattices

被引：0
作者：
Michal Botur
Anatolij Dvurečenskij
机构：
[1] Palacký University Olomouc Faculty of Sciences,
[2] Mathematical Institute Slovak Academy of Sciences,undefined
来源：
Algebra universalis | 2018年 / 79卷
关键词：
Residuated lattice; Kite algebra; Subdirect irreducible kite; Classification of kites; 03G10; 03B50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate a construction of an integral residuated lattice starting from an integral residuated lattice and two sets with an injective mapping from one set into the second one. The resulting algebra has a shape of a Chinese cascade kite, therefore, we call this algebra simply a kite. We describe subdirectly irreducible kites and we classify them. We show that the variety of integral residuated lattices generated by kites is generated by all finite-dimensional kites. In particular, we describe some homomorphisms among kites.
引用
收藏
相关论文
共 50 条
  • [1] Kites and residuated lattices
    Botur, Michal
    Dvurecenskij, Anatolij
    ALGEBRA UNIVERSALIS, 2018, 79 (04)
  • [2] Factorization of residuated lattices
    Krupka, Michal
    LOGIC JOURNAL OF THE IGPL, 2009, 17 (02) : 205 - 223
  • [3] On state residuated lattices
    Pengfei He
    Xiaolong Xin
    Yongwei Yang
    Soft Computing, 2015, 19 : 2083 - 2094
  • [4] Topologies on residuated lattices
    Wang, Wei
    Zhao, Bin
    JOURNAL OF LOGIC AND COMPUTATION, 2022, 32 (07) : 1375 - 1400
  • [5] On ideals of residuated lattices
    Dong, Yan Yan
    Wang, Jun Tao
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (01) : 613 - 623
  • [6] Topological residuated lattices
    Rasouli, Saeed
    Dehghani, Amin
    SOFT COMPUTING, 2020, 24 (05) : 3179 - 3192
  • [7] Valuations on residuated lattices
    Busneag, Catalan
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2007, 34 : 21 - 28
  • [8] The structure of residuated lattices
    Blount, K
    Tsinakis, C
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2003, 13 (04) : 437 - 461
  • [9] On residuated skew lattices
    Saeid, Arsham Borumand
    Koohnavard, Roghayeh
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (01): : 245 - 268
  • [10] IDEALS OF RESIDUATED LATTICES
    Holdon, Liviu-Constantin
    Saeid, Arsham Borumand
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2021, 58 (02) : 182 - 205
12345