Posts

Showing posts from April, 2021

Publications

Publications Z. Janelidze, Characterization of pointed varieties of universal algebras with normal projections , Theory and Applications of Categories 11, 2003, 212-214 Z. Janelidze, Varieties of universal algebras with normal local projections , Georgian Mathematical Journal 11, 2004, 93-98 Z. Janelidze, Subtractive categories , Applied Categorical Structures 13, 2005, 343-350 Z. Janelidze, Closedness properties of internal relations I: A unified approach to Mal’tsev, unital and subtractive categories , Theory and Applications of Categories 16, 2006, 236-261 Z. Janelidze, Closedness properties of internal relations II: Bourn localization , Theory and Applications of Categories 16, 2006, 262-282 Z. Janelidze, Closedness properties of internal relations IV: Expressing additivity of a category via subtractivity , Journal of Homotopy and Related Structures 1, 2006, 219-227 Z. Janelidze, Closedness properties of internal relations III: Pointed protomodular categories

Lecture Notes

Abstract Algebra for the Future Mathematician , a book in progress jointly with Amartya Goswami The Caravan this is an introductory book in progress on foundations of abstract mathematics. My inaugural lecture publication and the lecture . See the mathematics playlist of my youtube channel for my video lectures. Cardinal Arithmetic (Cantor’s theory of cardinality for Grothendieck-type universes) Morphisms of finite spaces (introduction to the basic ideas of category theory via topology and combinatorics) Posets and connections (introduction to Galois connections) Homomorphisms of monoids (includes products, sums and quotients of monoids) Universal algebra (Birkhoff’s variety theorem and some Mal’tsev conditions) Abstract logic (work in progress) Categories (extremely basic introduction to categories) Universal properties (a prelude) Regular categories (basics) An abelian exploration of diagram lemmas (notes for the lectures delivered