algebraic structure

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

2. 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.

   algebraische Struktur

1. In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.

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2. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.

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3. In algebra, abstract algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, and lattices.

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