Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

Monoid varieties and semigroup theory form a vibrant subfield of algebra that studies classes of algebraic structures defined by equational identities. Monoids, which are semigroups with an identity ...

Mathematicians have found a framework for the celebrated Rogers-Ramanujan identities and their arithmetic properties, solving another long-standing mystery stemming from the work of Indian math genius ...