$𝑅$ -monoid of finite type

An $𝑅$ -monoid (or ring extension) $𝑇$ is called of finite type iff it has finitely many generators, as an $𝑅$ -monoid, ring or equivalently there exists an onto $𝑅$ -monoid homomorphism

𝑅 ⟨ 𝑥 1, \dots, 𝑥 𝑛 ⟩ ↠ 𝑇

from the Free R-monoid. In particular, see the special case of Commutative R-monoid of finite type.

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$𝑅$ -monoid of finite type

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Table of Contents

𝑅-monoid of finite type

See also

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$𝑅$ -monoid of finite type