Odeljenje za matematiku, 28. april 2023.

• 21. April,  2023
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Naredni sastanak Seminara biće održan u petak, 28. aprila 2023, u sali 301f Matematičkog instituta SANU sa početkom u 14.15.

Predavač: Edeghagba Eghosa Elijah, Bauchi State University, Gadau, Nigeria

Naslov predavanja: OMEGA-ALGEBRAS AND THEIR DEVELOPMENT
 
Apstrakt:
In our research Omega-algebras arise as a special kind of lattice-valued algebras originating from Omega-sets as introduced by Fourman and Scott, where the co-domain of the  function is a complete lattice Omega. Basically, Omega-algebras are lattice-valued algebraic structures, defined over ordinary algebras of the given type in which the classical equality is replaced by the Omega-valued one. Classical identities are satisfied on an Omega-algebra as lattice formulas in the framework of Omega-valued equality instead of the ordinary one. An identity may be satisfied by an Omega-algebra, while the underlying classical algebra need not satisfy this identity. In addition, particular so called cut structures over the Omega-equality are classical algebras, fulfilling the given identities in the classical sense.

This talk is intended to present a short overview on Omega-algebras and their development thus far, along with some results characterizing Omega-algebras. Also we will look into the recent ongoing work on the separability property related to Omega-equality and on a version of Birkhoff HSP theorem for Omega-algebras.

Napomena: Predavanja se mogu pratiti na daljinu preko linka:
https://miteam.mi.sanu.ac.rs/call/T9XDGChhq8aDcNqmz/qw7wIwci2jv2rdg9I9CrXkm7OJhF_LB8DfjXZp4jTFV

Registraciona forma je dostupna na:
https://miteam.mi.sanu.ac.rs/asset/tz97w4Hu4c3unsJ7N

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