Algebraic Structures, including: Boolean Algebra (structure), Field (mathematics), Group (mathematics), Monoid, Ideal (ring Theory), Semigroup, Ring ... Algebra, Module (mathematics), Semiring

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More info: In abstract algebra, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The notion of algebraic structure has been formalized in universal algebra.