Universal Algebra
Welcome to the Universal Algebra Course. In this course I would like to focus on order algebraic structures and then fundamental notions of Universal Algebra. Also I would like to talk about Stone Duality and other important dualities. Depending on the interest I'll focus on MV-Algebra and its connections with other mathematical structures in more details.
I'll appreciate highly interactive and jovial sessions so that we will enrich our knowledge from both sides.
References:
1. Lattice Theory by G. Birkhoff
2. A Course in Universal Algebra by Stanley Burris and H.P.Sankappanavar (https://www.math.uwaterloo.ca/~snburris/htdocs/UALG/univ-algebra.pdf)
3. Algebraic Foundations of Many-Valued Reasoning by R.L.Cignoli, Itala M. d'Ottaviano, Daniel Mundici.
Lecture 1: Sunday, 2 August 2020, at 4:00pm IST
Introduction to Lattice and other Ordered Algebraic Structures.
Lecture 4: Sunday, 23 August 2020, at 4:00pm IST
Notion of algebras, homomorphisms and subalgebras
Lecture 5: Sunday, 30 August 2020, at 4:00pm IST
Subalgebras, direct products, congruence relations
Lecture 11: Sunday, 18 October 2020, at 4:00pm IST
Birkhoff's characterisation theorem of variety
Lecture 12: Saturday, 24 October 2020, at 4:00pm IST
Basics of category theory and categorical view of algebraic structures
Lecture 13: Sunday, 1 November 2020, at 4:00pm IST
Many valued algebra and Stone duality