Perspectivity in Projection Lattices

QUASILATTICES IN IE3 AND THEIR PROJECTION FROM LATTICES IN IEn

Regularity in residuated lattices

In this paper, we study residuated lattices in order to give new characterizations for dense, regular and Boolean elements in residuated lattices and investigate special residuated lattices in order to obtain new characterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra in varieties of Stonean residuated lattices is constructed. We introduce in re...

An equivalence functor between local vector lattices and vector lattices

We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices. In this regards, some characterizations of local vector lattices are given. For instance, we prove that a vector lattice with a distinguished strong unit is local if and only if it is clean with non no-...

RADICAL OF FILTERS IN RESIDUATED LATTICES

‎In this paper‎, ‎the notion of the radical of a filter in‎ ‎residuated lattices is defined and several characterizations of‎ ‎the radical of a filter are given‎. ‎We show that if F is a‎ ‎positive implicative filter (or obstinate filter)‎, ‎then‎ ‎Rad(F)=F‎. ‎We proved the extension theorem for radical of filters in residuated lattices‎. ‎Also‎, ‎we study the radical‎ ‎of filters in linearly o...

Structure of Perspectivity: A Case of Japanese Reflexive Pronoun “dwP

Yasuhiro Katagiri NTT Basic Research Laboratories Midori-cho, Musashino, Tokyo, 180 Japan katagiri%[email protected] A theory of perspectivity is proposed to establish the foundation of the theory of situated agents. An account is then given, based on the theory of perspectivity, of the use of a seemingly perspectivity related expression, Japanese long-range reflexive “zibun. ” The theor...