Augmentation (algebra)

In algebra, an augmentation of an associative algebra A over a commutative ring k is a k-algebra homomorphism $A \to k$ , typically denoted by ε. An algebra together with an augmentation is called an augmented algebra. The kernel of the augmentation is a two-sided ideal called the augmentation ideal of A.

单词	Augmented algebra
释义	Augmented algebra 英语百科 Augmentation (algebra) In algebra, an augmentation of an associative algebra A over a commutative ring k is a k-algebra homomorphism $A \to k$ , typically denoted by ε. An algebra together with an augmentation is called an augmented algebra. The kernel of the augmentation is a two-sided ideal called the augmentation ideal of A.
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Augmented algebra

Augmentation (algebra)