Seminar for Mathematical Logic
PROGRAM
Plan rada Seminara za logiku za oktobar 2014.
Seminar za matematicku logiku Matematickog instituta SANU nastavlja rad u letnjem semestru 2011/2012.g. na ovoj adresi: Kneza Mihaila 36/III sprat, soba 301f - sala za seminare. Cetvrtkom posle podne, ali od 15:00 sati, odrzavace se predavanja na Seminaru iz verovatnosnih logika pod rukovodstvom Profesora Miodraga Raskovica koji je u decembru 2007. dobio akreditaciju Naucnog veca Instituta. Na taj nacin, ponovo, kao pre vise decenija, postoje dva logicka seminara.
PETAK, 17.10.2014. U 16:15 (MI SANU, 301f)
SVECANO OKUPLJANJE POSVECENO PROFESORU ZARKU MIJAJLOVICU
Nakon sastanka bice organizovan koktel u biblioteci Instituta.
Petak, 24.10.2014. U 16:15 (MI SANU, 301f)
Petar Markovic, PMF, Novi Sad
ON OPTIMAL STRONG MAL'CEV CHARACTERIZATIONS OF CONGRUENCE MEET-SEMIDISTRIBUTIVITY
Abstract: We prove a strong Mal'cev characterization of congruence meet-semidistributivity in locally finite varieties. The result is that a locally finite variety V is congruence meet-semidistributive if and only if there is a V-term t(x,y,z,u) such that t(x,x,x,x) = x and t(y,x,x,x) = t(x,y,,x,x) = t(x,x,y,x) = t(x,x,x,y) = t(y,y,x,x) = t(y,x,y,x) = t(x,y,y,x) hold identically in V. This characterization implies most of the known ones. The proof uses the fact that congruence meet-semidistributivity implies that Constraint Satisfaction Problem instance has a solution as long as there are no local inconsistencies. This allows us to construct very large instances without local inconsistencies, so large that a Ramsey argument may be applied to produce the desired term. We finish the lecture with a couple of open problems. This is a joint work with Jelena Jovanovic and Ralph McKenzey.
PETAK, 31.10.2014. U 16:15 (MI SANU, 301f)
Slavko Moconja, Matematicki fakultet, Beograd
MUST A QUASI-MINIMAL GROUP BE COMMUTATIVE?
Abstract: A first order structure is called minimal if every definable subset of the domain is either finite or co-finite (the complement is finite); an uncountable first order structure is called quasi-minimal if every definable subset of the domain is either countable or co-countable. Reineke in 1974. proved that every minimal group is Abelian, therefore it is natural to ask if every quasiminimal group is commutative. We shall give a partial positive answer, and discuss the general situation.
OBAVESTENJA:
Ukoliko zelite mesecne programe ovog Seminara u elektronskom obliku, obratite se: zpetric@mi.sanu.ac.rs ili tane@mi.sanu.ac.rs. Programi svih seminara Matematickog instituta SANU nalaze se na sajtu: www.mi.sanu.ac.rs
Beograd,
Srdacan pozdrav,
rukovodioci seminara Zoran Petric i Predrag Tanovic