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).
References in periodicals archive ?
Roth, Isometric immersion into Lorentzian products, Int.
The case c = 0, that is, for isometric immersions in [R.
This follows from (41) as f is an isometric immersion.
Here [Beta](f) denotes the second fundamental form (of the isometric immersion f) while [Mathematical Expression Omitted] is the Levi-Civita connection of (M, [g.
t](c) be an isometric immersion of a connected indefinite Riemannian manifold into a s ace form.
Erbacher, Reduction of the codimension of an isometric immersion, J.
Tojeiro: Isometric immersions in codimension two of warped products into space forms, Illinois J.