论文信息 - Categorical Skew Lattices

Categorical Skew Lattices

Categorical skew lattices are a variety of skew lattices on which the natural partial order is especially well behaved. While most skew lattices of interest are categorical, not all are. They are characterized by a countable family of forbidden subalgebras. We also consider the subclass of strictly categorical skew lattices.

Jonathan Leech | Michael K. Kinyon | M. Kinyon | Jonathan Leech

[1] R. Goodstein. Boolean algebra , 1963 .

[2] Jonathan Leech,et al. Recent developments in the theory of skew lattices , 1996 .

[3] Matthew Spinks,et al. Skew Boolean algebras derived from generalized Boolean algebras , 2008 .

[4] Robert J. Bignall,et al. Propositional skew Boolean logic , 1996, Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96).

[5] Jonathan Leech,et al. Skew lattices in rings , 1989 .

[6] Jonathan Leech,et al. Skew Boolean algebras , 1990 .

[7] Jonathan Leech. The geometric structure of skew lattices , 1993 .

[8] Karin Cvetko-Vah,et al. Skew lattices of matrices in rings , 2005 .

[9] Jonathan Leech,et al. Skew Boolean algebras and discriminator varieties , 1995 .

[10] Robert Veroff,et al. Axiomatizing the Skew Boolean Propositional Calculus , 2006, Journal of Automated Reasoning.

[11] João Pita Costa. Coset laws for categorical skew lattices , 2012 .

[12] Karin Cvetko-Vah,et al. Cancellation in Skew Lattices , 2011, Order.

[13] Karin Cvetko-Vah. Internal Decompositions of Skew Lattices , 2006 .

[14] Jonathan Leech,et al. Normal skew lattices , 1992 .