The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Formally, a description of weak BCK-algebras can be obtained by replacing (in the standard axiom set by K. Iseki and S. Tanaka) the first BCK axiom $${(x - y) - (x - z) \le z - y}$$ ( x - y ) - ( x - z ) ≤ z - y by its weakening $${z \le y \Rightarrow x - y \le x - z}$$ z ≤ y ⇒ x - y ≤ x - z . It is known that every weak BCK-algebra is completely determined by the structure of...
A quasi-orthomodular poset is defined to be a poset with 0 equipped with an orthogonality relation satisfying certain axioms. The goal of the paper is to compare such posets (also semilattices, nearlattices and lattices) with several other kinds of posets having an appropriate structure and already known in the literature: generalized orthomodular posets and lattices, generalized orthoalgebras, sectionally...
A nearsemilattice is a poset having the upper-bound property. A binary operation — on a poset with the least element 0 is said to be subtraction-like if x ≤ y if and only if x — y = 0 for all x, y. Associated with such an operation is a family of partial operations lp defined by lp(x) := p— x on every initial segment [0, p]; these operations are thought of as local (sectional) complementations of...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.