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A division ring is a set R equipped with two binary operations + and ·, where (R, +) is an abelian group
and (R, ·) is a commutative monoid.
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A division ring is a set R equipped with two binary operations + and ·, where (R, +) is an abelian group and (R, ·) is a group.
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A a commutative division ring (i.e.
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Group with a commutative binary operation.
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An algebraic structure with an associative and commutative binary operation and an identity element.
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An extension to the concept of monoid.
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An algebraic structure with an associative binary operation (implied by semigroup properties) and an identity element.
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Basic algebraic structure with an associative binary operation.
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A ring is a set R equipped with two binary operations + and ·, where (R, +) is an abelian group and (R, ·) is a monoid.
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A ring is a set R equipped with two binary operations + and ·, where (R, +) is a commutative monoid and (R, ·) is a monoid.