Category:Definitions/Unital Associative Commutative Algebras
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This category contains definitions related to Unital Associative Commutative Algebras.
Related results can be found in Category:Unital Associative Commutative Algebras.
Let $R$ be a commutative ring with unity.
Definition 1
A unital associative commutative algebra over $R$ is an algebra $\struct {A, *}$ over $R$ that is unital, associative and commutative and whose underlying module is unitary.
Definition 2
A unital associative commutative algebra over $R$ is a ring under $A$, that is, an ordered pair $\struct {A, f}$ where:
- $A$ is a commutative ring with unity
- $f : R \to A$ is a unital ring homomorphism.
Pages in category "Definitions/Unital Associative Commutative Algebras"
The following 5 pages are in this category, out of 5 total.