292 citations
- Eötvös Loránd UniversityHU16 papers
- Lund UniversitySE16 papers
- University of St AndrewsGB16 papers
- Austrian Academy of SciencesAT15 papers
- Centro de AstrobiologíaES15 papers
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)DE15 papers
- HUN-REN Research Centre for Astronomy and Earth SciencesHU15 papers
- Institut d'Astrophysique de ParisFR15 papers
- Institut d'Estudis Espacials de CatalunyaES15 papers
- Institute of Astrophysics and Space SciencesPT15 papers
- Instituto de Astrofísica de CanariasES15 papers
- Keele UniversityGB15 papers
14 papers · 1 filter
Pseudo-Kleene algebras determined by rough sets
Jouni Järvinen, Sándor Radeleczki
We study the pseudo-Kleene algebras of the Dedekind-MacNeille completion of the ordered set of rough set determined by a reflexive relation. We characterize the cases when PBZ and…
Lie properties in associative algebras
Szilvia Homolya, Jeno Szigeti, Leon van Wyk +1
Let K be a field, then we exhibit two matrices in the full nxn matrix algebra M_{n}(K) which generate M_{n}(K) as a Lie K-algebra with the commutator Lie product. We also study Lie…
Defining rough sets as core-support pairs of three-valued functions
Jouni Järvinen, Sándor Radeleczki
We answer the question what properties a collection of three-valued functions on a set must fulfill so that there exists a quasiorder on such that the…
The structure of multigranular rough sets
Jouni Järvinen, Sándor Radeleczki
We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called "optimistic" and "pessimistic" multigranular approximation systems are given.…
A Constructive Elementary Proof of the Skolem-Noether Theorem for Matrix Algebras
Jeno Szigeti, Leon van Wyk
We give a constructive elementary proof for the fact that any K-automorphism of the full nxn matrix algebra over a field K is conjugation by some invertible nxn matrix A over K.
Which self-maps appear as lattice endomorphisms?
Jeno Szigeti
Let f be a self-map of the set A. We give a necessary and sufficient condition for the existence of a lattice structure on A such that f becomes a lattice endomorphism with respect…