algebraic structure

Definitions

1. 1

   Any one of the numerous types of mathematical object studied in algebra and especially in…

   Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.

2. 2

   A mathematical object comprising a carrier set (aka underlying set or domain), an…

   A mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.

   • The definition of algebraic structure establishes a framework through which to compare otherwise very different abstract objects, and to study similarities and patterns made apparent by the definition.

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