Page 284 - Leech, Jonathan E. 2020. Noncommutative Lattices: Skew Lattices, Skew Boolean Algebras and Beyond. Koper: University of Primorska Press
P. 284
Jonathan E. Leech │ Noncommutative Lattices: Skew Lattices, Skew Boolean Algebras and Beyond
More recent skew lattice research has come from Karin CvetkoVah and friends:
K. CvetkoVah:
Noncommutative frames, Journal of Algebra and Its Applications
18 (2019), 1950011.
K. CvetkoVah, J. Hemelaer & J. Leech:
Noncommutative frames revisited, Ars Mathematica Contemporanea 19 (2020),147-154.
K. CvetkoVah, Jens Hemelaer & Lieven Le Bruyn:
Duality for noncommutative frames, to appear in Topology and its Applications.
K. CvetkoVah, J. Hemelaer & L. Le Bruyn:
What is a noncommutative topos?, Journal of Algebra and Its Applications, 18 (2019),
1950011 (13 pages)
K. Cvetko-Vah & C. Verwimp:
Skew lattices and set-theoretic solutions of the Yang-Baxter equation, Journal of Algebra,
542 (2020). 65 – 92.
K. Cvetko-Vah, M. Sadrzadeh, D. Kartsaklis & B. Blundell,
Non-commutative logic for compositional distributional semantics, Logic, Language,
Information, and Computation, Springer, Berlin, Lecture Notes in Computer Science,
10388 (2017), 110–124.
Until 2017 most of the research on skew lattices has, to my knowledge, occurred in
Australia, North America and Europe. But that is changing and with the change comes research
that pushes the theory in new directions.
From China:
Y. Zhi, X. Zhou & Q. Li:
Residuated skew lattices, Information sciences Sci. 460/461 (2018), 190–201.
Residuated rough sets induced by ideals in skew lattices, Journal of Intelligent
and Fuzzy Systems, 33 (2017), 5959-5972.
Y. Zhi, & X. Zhou, Roughness in substructures of skew lattices: Journal of
Intelligent and Fuzzy Systems 36 (2019), 5959-5972;
282
More recent skew lattice research has come from Karin CvetkoVah and friends:
K. CvetkoVah:
Noncommutative frames, Journal of Algebra and Its Applications
18 (2019), 1950011.
K. CvetkoVah, J. Hemelaer & J. Leech:
Noncommutative frames revisited, Ars Mathematica Contemporanea 19 (2020),147-154.
K. CvetkoVah, Jens Hemelaer & Lieven Le Bruyn:
Duality for noncommutative frames, to appear in Topology and its Applications.
K. CvetkoVah, J. Hemelaer & L. Le Bruyn:
What is a noncommutative topos?, Journal of Algebra and Its Applications, 18 (2019),
1950011 (13 pages)
K. Cvetko-Vah & C. Verwimp:
Skew lattices and set-theoretic solutions of the Yang-Baxter equation, Journal of Algebra,
542 (2020). 65 – 92.
K. Cvetko-Vah, M. Sadrzadeh, D. Kartsaklis & B. Blundell,
Non-commutative logic for compositional distributional semantics, Logic, Language,
Information, and Computation, Springer, Berlin, Lecture Notes in Computer Science,
10388 (2017), 110–124.
Until 2017 most of the research on skew lattices has, to my knowledge, occurred in
Australia, North America and Europe. But that is changing and with the change comes research
that pushes the theory in new directions.
From China:
Y. Zhi, X. Zhou & Q. Li:
Residuated skew lattices, Information sciences Sci. 460/461 (2018), 190–201.
Residuated rough sets induced by ideals in skew lattices, Journal of Intelligent
and Fuzzy Systems, 33 (2017), 5959-5972.
Y. Zhi, & X. Zhou, Roughness in substructures of skew lattices: Journal of
Intelligent and Fuzzy Systems 36 (2019), 5959-5972;
282
