The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to variety generated by smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) non-trivial (0,1)-lattices belonging same morphisms. Although two categories coincide on their finite objects, essentially differ mostly but not only fact duality second us...

When I offered to talk here, I asked myself if I had something suitable for a nice short 20 minute talk, and sent in an abstract about “cores of spaces and spectra”. However, since I have been given 50 minutes, I have decided to scrap that for something a little more substantial. It is brand new. I assume that I am among friends and that you won’t mind if some of what I say turns out to be nons...

when studying russian morphology, one can distinguish two categories. these categories are “grammatical” and “lexico-grammatical”. grammatical categories can be specified through a series of grammatical features of words. considering different criteria, russian grammarians and linguists divide grammatical categories of their language into different types. in determining lexico-grammatical types...