- antiautomorphism. Informally, an
antihomomorphism is a map that
switches the
order of multiplication. Formally, an
antihomomorphism between structures X {\displaystyle...
-
compatibility making it a bialgebra, and that
moreover is
equipped with an
antihomomorphism satisfying a
certain property. The
representation theory of a Hopf...
- R-module M and a left S-module N is σ-semilinear if
there exists a ring
antihomomorphism σ : R → S such that for all x, y in M and λ in R it
holds that ψ (...
- In ring theory, the word
involution is
customarily taken to mean an
antihomomorphism that is its own
inverse function.
Examples of
involutions in common...
- an
algebra under composition of maps, and the ****ignment is then an
antihomomorphism of algebras,
meaning that t ( u v ) = t v t u . {\displaystyle...
- {\displaystyle a,b\in \operatorname {Cl} (V)} by linearity. It is an
antihomomorphism since ( a b ) t = b t a t . {\displaystyle (ab)^{t}=b^{t}a^{t}.} Observe...
- an
algebra under composition of maps, and the ****ignment is then an
antihomomorphism of algebras,
meaning that (fg)∗ = g∗f∗. In the
language of category...
- (a)^{-1},} then σ {\displaystyle \sigma } is a
homomorphism or an
antihomomorphism. This
theorem is
connected to the
fundamental theorem of projective...
- A {\displaystyle \alpha ,\beta \in {\mathcal {A}}} and a
bijective antihomomorphism S (antipode) of A {\displaystyle {\mathcal {A}}} such that ∑ i S (...
