What is another word for homological algebra?
Pronunciation: [hˌɒməlˈɒd͡ʒɪkə͡l ˈald͡ʒɪbɹə] (IPA) 
Homological algebra is a branch of mathematics that studies algebraic structures using tools from topology and category theory. Synonyms for homological algebra include algebraic topology, homotopy theory, and category theory. Algebraic topology deals with the properties of algebraic structures, such as groups, rings, modules, and vector spaces, using topological tools like homotopy and cohomology theory. Homotopy theory focuses on the continuous deformation of geometrical objects, while category theory studies the relationships between mathematical structures. Other related terms include abstract algebra, commutative algebra, and algebraic geometry. All these fields use algebraic methods to explore the relationships between different mathematical structures.
