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Additional
homomorphism
English Wikipedia - The Free Encyclopedia
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Homomorphism
In
abstract algebra
, a
homomorphism
is a
structure-preserving
map
between two
algebraic structures
(such as
group
s,
ring
s, or
vector spaces
). The word
homomorphism
comes from the
ancient Greek language
:
(homos)
meaning "same" and
(morphe)
meaning "form" or "shape".
Isomorphisms
,
automorphisms
, and
endomorphisms
are special types of homomorphisms.
See more at Wikipedia.org...
*-algebra
In
mathematics
, and more specifically in
abstract algebra
, a
*-algebra
(or
involutive algebra
) is a mathematical structure consisting of two involutive rings and , where is commutative and has the structure of an associative algebra over . Involutive algebras generalize the idea of a number system equipped with conjugation, for example the
complex numbers
and
complex conjugation
,
matrices
over the complex numbers and
conjugate transpose
, and
linear operators
over a
Hilbert space
and
Hermitian adjoints
.
See more at Wikipedia.org...
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®
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