semigroup homomorphism造句
例句與造句
- A semigroup homomorphism between monoids preserves identity if it is a monoid homomorphism.
- Let f : S _ 0 \ to S _ 1 be a semigroup homomorphism.
- In contrast, a semigroup homomorphism between groups is always a group homomorphism, as it necessarily preserves the identity.
- But there are semigroup homomorphisms which are not monoid homomorphisms, e . g . the canonical embedding of a semigroup S without identity into S ^ 1.
- For example, a map between monoids that preserves the monoid operation and not the identity element, is not a monoid homomorphism, but only a semigroup homomorphism.
- It's difficult to find semigroup homomorphism in a sentence. 用semigroup homomorphism造句挺難的
- Not every semigroup homomorphism is a monoid homomorphism, since it may not map the identity to the identity of the target monoid, even though the element it maps the identity to will be an identity of the image of the mapping.
- One can attribute two types of morphisms ( in the sense of category theory ) to posemigroups, namely the "'posemigroup homomorphisms "'which are'order preserving'( equivalently monotone ) semigroup homomorphisms and the "'posemigroup order-embeddings "'that are ( besides being semigroup homomorphisms ) both order preserving and reflecting.
- One can attribute two types of morphisms ( in the sense of category theory ) to posemigroups, namely the "'posemigroup homomorphisms "'which are'order preserving'( equivalently monotone ) semigroup homomorphisms and the "'posemigroup order-embeddings "'that are ( besides being semigroup homomorphisms ) both order preserving and reflecting.