Jānis Cīrulis
University of Latvia
21 Papers
5 Citations
Jānis Cīrulis is an academic researcher from University of Latvia. The author has contributed to research in topics: Semilattice & Bounded function. The author has an hindex of 5, co-authored 17 publications.
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Papers
Quasi-orthomodular Posets and Weak BCK-algebras
TL;DR: The goal of the paper is to compare quasi-orthomodular posets (also semilattices, nearlattices and lattices) with several other kinds of posets having an appropriate structure and already known in the literature.
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Nearlattices with an Overriding Operation
TL;DR: A representation theorem (in terms of algebras of partial functions) for Boolean nearlattices with associative overriding is presented, and several results concerning associativity of the operation and the structure of function nearlATTices with overriding are presented.
13
Hilbert algebras as implicative partial semilattices
TL;DR: In this article, a partial lower semilattice is shown to be a reduct of an expanded Hilbert algebra, and the implication in an implicative partial semilectice is characterised in terms of the?lters of the underlying partial semi-attice.
13
Extending the star order to Rickart rings
TL;DR: In this article, the star partial order was extended to strong Rickart *-rings and the corresponding lattice properties of strongRickart rings were studied more thoroughly, and several new results were obtained.
10
On Some Classes of Commutative Weak BCK-Algebras
TL;DR: This work considers weak BCK-algebras with De Morgan complemented, orthocomplemented and orthomodular sections, as well as those where sections satisfy a certain compatibility condition, and characterize each of these classes of algebra by an equation or quasi-equation.
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