Skew lattices are a noncommutative generalization of lattices. In the paper we study the
varieties of symmetric, strongly symmetric and cancellative skew lattices, and characterize …

A recent study of the override and update operations defined on sets of partial functions
placed both operations within the algebraic context of a certain variety of algebras. We show …

During the last three decades, skew lattices proved to be the most successful
noncommutative generalization of lattices. In recent times, the study of categorical skew …

This paper describes the motivations leading to a renewed interest in the study of
noncommutative lattices, and especially skew lattices, beginning with the initial work of the …

ALGEBRAIZATION OF JAŚKOWSKI’S PARACONSISTENT LOGIC D2 Page 1 STUDIES IN
LOGIC, GRAMMAR AND RHETORIC 42 (55) 2015 DOI: 10.1515/slgr-2015-0036 Janusz …

In the latest developments in the theory of skew lattices, the study of distributivity has been
one of the main topics. The largest classes of examples of skew lattices thus far encountered …

Noncommutative lattices are present in the everyday tasks of computer scientists whenever
they make use of common operations such as update and override. In this paper we shall …

This theses aims to develop a better understanding of skew lattice and its ideals. We present
the definitions of lattice, skew lattice, ideals and filters. Due to the importance of orders and …