On pseudo residuated skew lattices

2020 ◽  
Vol 26 (3) ◽  
pp. 775-794
Author(s):  
R. Koohnavard ◽  
A. Borumand Saeid
Keyword(s):  
Skew Lattices

Rough sets induced by ideals in skew lattices

2017 ◽  
Vol 33 (6) ◽  
pp. 3913-3928
Author(s):  
Yuan Zhi ◽  
Xiangnan Zhou ◽  
Qingguo Li
Keyword(s):  
Rough Sets ◽  
Skew Lattices

scholarly journals Skew lattices and set-theoretic solutions of the Yang-Baxter equation

2020 ◽  
Vol 542 ◽  
pp. 65-92 ◽  
Author(s):  
Karin Cvetko-Vah ◽  
Charlotte Verwimp
Keyword(s):  
Baxter Equation ◽  
Skew Lattices

Skew lattices of matrices in rings

2005 ◽  
Vol 53 (4) ◽  
pp. 471-479 ◽  
Author(s):  
Karin Cvetko-Vah
Keyword(s):  
Skew Lattices

Residuated skew lattices

2018 ◽  
Vol 460-461 ◽  
pp. 190-201 ◽  
Author(s):  
Yuan Zhi ◽  
Xiangnan Zhou ◽  
Qingguo Li
Keyword(s):  
Skew Lattices

scholarly journals On the coset structure of distributive skew lattices

2019 ◽  
Vol 2 (2) ◽  
pp. #P2.05
Author(s):  
João Pita Costa ◽  
Jonathan Leech
Keyword(s):  
Skew Lattices

scholarly journals On residuated skew lattices

2019 ◽  
Vol 27 (1) ◽  
pp. 245-268
Author(s):  
Arsham Borumand Saeid ◽  
Roghayeh Koohnavard
Keyword(s):  
Congruence Relation ◽  
Residuated Lattice ◽  
Deductive System ◽  
Quotient Algebra ◽  
Skew Lattice ◽  
Skew Lattices ◽  
Green’S Relation

Abstract In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra is a residuated lattice. Deductive system and skew deductive system in residuated skew lattices are defined and relationships between them are given and proved. We define branchwise residuated skew lattice and show that a conormal distributive residuated skew lattice is equivalent with a branchwise residuated skew lattice under a condition.

States on residuated skew lattices

2021 ◽  
Author(s):  
R. Koohnavard ◽  
A. Borumand Saeid
Keyword(s):  
Skew Lattices

Skew lattices in rings

1989 ◽  
Vol 26 (1) ◽  
pp. 48-72 ◽  
Author(s):  
Jonathan Leech
Keyword(s):  
Skew Lattices

scholarly journals Skew lattices

2011 ◽  
Vol 30 (1) ◽  
pp. 51-57
Author(s):  
K. V. R Srinivas
Keyword(s):  
Skew Lattices
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