3 citations · 5 across the 5 of their papers we have counts for
6 papers
Extension of sectional pseudocomplementation in posets
Jānis Cīrulis
Sectional pseudocomplementation (sp-complementation) on a poset is a partial operation which associates with every pair of elements, where , the pseudocompleme…
Lattice of closure endomorphisms of a Hilbert algebra
Jānis Cīrulis
A closure endomorphism of a Hilbert algebra A is a mapping that is simultaneously an endomorphism of and a closure operator on A. It is known that the set CE of all closure endomor…
On one-sided star partial orders on a Rickart *-ring
Janis Cirulis
We compare some recent approaches to extending the notions of left- and right-star partial order, introduced for complex matrices in early 90-ies, to bounded linear Hilbert space o…
On commutative weak BCK-algebras
Janis Cirulis
The class of weak BCK-algebras is obtained by weakening one of standard BCK axioms. It is known that every weak BCK-algebra is completely determined by the structure of its initial…
Further remarks on an order for quantum observables
J. Cirulis
S. Gudder and, later, S. Pulmanova and E. Vincekova, have studied in two recent papers a certain ordering of bounded self-adjoint operators on a Hilbert space. We present some furt…
On implications in sectionally pseudocomplemented posets
J\{=}anis C\=ırulis
A sectionally pseudocomplemented poset P is one which has the top element and in which every principal order filter is a pseudocomplemented poset. The sectional pseudocomplements g…