-
anything with
itself is itself.
Monomorphisms generalize this
property to
arbitrary categories. A
morphism is a
monomorphism if it is
idempotent with respect...
- ****ual
selection and
natural selection. The
opposite of
dimorphism is
monomorphism, when both
biological ****es are
phenotypically indistinguishable from...
-
Morphisms with left
inverses are
always monomorphisms, but the
converse is not true in general; a
monomorphism may fail to have a left inverse. In concrete...
- {\displaystyle g=h.} In
other words,
injective functions are
precisely the
monomorphisms in the
category Set of sets. If f : X → Y {\displaystyle f:X\to Y} is...
- a
monomorphism, and will be
normal if and only if H is a
normal subgroup of G. In fact, this is the
origin of the term "normal" for
monomorphisms.[citation...
- structures,
monomorphisms are
commonly defined as
injective homomorphisms.: 134 : 29 In the more
general context of
category theory, a
monomorphism is defined...
-
equivalence relation on the
monomorphisms with
codomain A {\displaystyle A} , and the
corresponding equivalence classes of
these monomorphisms are the subobjects...
- In
programming language theory and type theory,
polymorphism is the use of one
symbol to
represent multiple different types. In object-oriented programming...
- epimorphism. The
above differs from the case of
monomorphisms where it is more
frequently true that
monomorphisms are
precisely those whose underlying functions...
-
Injective ring
homomorphisms are
identical to
monomorphisms in the
category of rings: If f : R → S is a
monomorphism that is not injective, then it
sends some...
