embedding
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embedding
[em′bed·iŋ] (mathematics)
An injective homomorphism between two algebraic systems of the same type.
embedding
(mathematics)One instance of some mathematical object
contained with in another instance, e.g. a group which is a
subgroup.
embedding
(theory)(domain theory) A complete partial order F in
[X -> Y] is an embedding if
(1) For all x1, x2 in X, x1 <= x2 <=> F x1 <= F x2 and
(2) For all y in Y, x | F x <= y is directed.
("<=" is written in LaTeX as \sqsubseteq).
(1) For all x1, x2 in X, x1 <= x2 <=> F x1 <= F x2 and
(2) For all y in Y, x | F x <= y is directed.
("<=" is written in LaTeX as \sqsubseteq).