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 ...
Algebraic structures form the backbone of modern abstract algebra, encapsulating a wide range of systems such as groups, rings, fields, and modules, each characterised by distinct axiomatic properties ...
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 ...
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