Page 283 - Leech, Jonathan E. 2020. Noncommutative Lattices: Skew Lattices, Skew Boolean Algebras and Beyond. Koper: University of Primorska Press
P. 283
endum 2020
This survey has focused on developments in skew lattices research up through much of
2017. The research does not end there. To pick up the trail, we begin with a conference held in
Slovenia in May of 2018. Its official title was Noncommutative Structures 2018: a Workshop in
Honor of Jonathan Leech. I gave the opening address, which was later published as the following
article:
J. Leech,
My journey into noncommutative lattices and their theory, The Art of Discrete
and Applied Mathematics, 2 (2019) #P2.01.
This paper provides the interested seeker with a fairly thorough overview of much that transpired
in the first thirty years of the renewed study of noncommutative lattices. In the same issue of this
online journal were contributions by other workshop participants:
K. Cvetko-Vah, M. Kinyon, J. Leech & T. Pisanski,
Regular antilattices . The Art of Discrete and Applied Mathematics, 2 (2019) #P2.06.
D. G. FitzGeraltd:
Groupoids on a skew lattice of objects. The Art of Discrete and Applied Mathematics, 2
(2019) #P2.03.
D. Ellerman:
A graph-theoretic method to define any Boolean operation on partitions. The Art of
Discrete and Applied Mathematics, 2 (2019) #P2.02.
J. Jovanović & A. Tepavčević:
Ω-lattices from skew lattices. The Art of Discrete and Applied Mathematics, 2 (2019)
#P2.04.
A. Bucciarelli & A. Salibra:
On noncommutative generalisations of Boolean algebras. The Art of Discrete and
Applied Mathematics, 2 (2019) #P2.07.
R. J. Bignall & M. Spinks:
Dual binary discriminator varieties. The Art of Discrete and Applied Mathematics, 2
(2019) #P2.08.
J. Pita Costa & J. Leech:
On the coset structure of distributive skew lattices, The Art of Discrete and Applied
Mathematics, 2 (2019) #P2.05
Open problems from NCS 2018. The Art of Discrete and Applied Mathematics, 2 (2019)
#P2.09
281
This survey has focused on developments in skew lattices research up through much of
2017. The research does not end there. To pick up the trail, we begin with a conference held in
Slovenia in May of 2018. Its official title was Noncommutative Structures 2018: a Workshop in
Honor of Jonathan Leech. I gave the opening address, which was later published as the following
article:
J. Leech,
My journey into noncommutative lattices and their theory, The Art of Discrete
and Applied Mathematics, 2 (2019) #P2.01.
This paper provides the interested seeker with a fairly thorough overview of much that transpired
in the first thirty years of the renewed study of noncommutative lattices. In the same issue of this
online journal were contributions by other workshop participants:
K. Cvetko-Vah, M. Kinyon, J. Leech & T. Pisanski,
Regular antilattices . The Art of Discrete and Applied Mathematics, 2 (2019) #P2.06.
D. G. FitzGeraltd:
Groupoids on a skew lattice of objects. The Art of Discrete and Applied Mathematics, 2
(2019) #P2.03.
D. Ellerman:
A graph-theoretic method to define any Boolean operation on partitions. The Art of
Discrete and Applied Mathematics, 2 (2019) #P2.02.
J. Jovanović & A. Tepavčević:
Ω-lattices from skew lattices. The Art of Discrete and Applied Mathematics, 2 (2019)
#P2.04.
A. Bucciarelli & A. Salibra:
On noncommutative generalisations of Boolean algebras. The Art of Discrete and
Applied Mathematics, 2 (2019) #P2.07.
R. J. Bignall & M. Spinks:
Dual binary discriminator varieties. The Art of Discrete and Applied Mathematics, 2
(2019) #P2.08.
J. Pita Costa & J. Leech:
On the coset structure of distributive skew lattices, The Art of Discrete and Applied
Mathematics, 2 (2019) #P2.05
Open problems from NCS 2018. The Art of Discrete and Applied Mathematics, 2 (2019)
#P2.09
281
