Isomorphism extension theorem information

mathematics, the isomorphism extension theorem is an important theorem regarding the extension of a field isomorphism to a larger field. The theorem states that...

ideals as the main references. The three isomorphism theorems, called homomorphism theorem, and two laws of isomorphism when applied to groups, appear explicitly...

Tietze extension theorem Hartogs' extension theorem - a theorem in the theory of functions of several complex variables Isomorphism extension theorem - a...

(probability theory) Isomorphism extension theorem (abstract algebra) Isomorphism theorem (abstract algebra) Isoperimetric theorem (curves, calculus of...

isomorphic, with a unique isomorphism. The isomorphism theorems provide canonical isomorphisms that are not unique. The term isomorphism is mainly used for algebraic...

of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets...

primitive element theorem provides a characterization of the finite simple extensions. A field extension L/K is called a simple extension if there exists...

trdegC(K(X)) ≤ n. Lüroth's theorem, a theorem about purely transcendental extensions of degree one Regular extension Milne, Theorem 9.13. Milne, Lemma 9.6...

algebraic closure, it is unique up to an isomorphism, and in general, this isomorphism is not unique. A field extension E ⊇ F {\displaystyle E\supseteq F} is...

In mathematics, the norm residue isomorphism theorem is a long-sought result relating Milnor K-theory and Galois cohomology. The result has a relatively...

Q {\displaystyle Q} to be abelian groups, then the set of isomorphism classes of extensions of Q {\displaystyle Q} by a given (abelian) group N {\displaystyle...

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...

to K. In characteristic 0, every finite extension is a simple extension. This is the primitive element theorem, which does not hold true for fields of...

mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups. It...

an extension of subgraph isomorphism known as graph mining is also of interest in that area. Frequent subtree mining Induced subgraph isomorphism problem...

NLOGSPACE-complete to decide S a t {\displaystyle {\rm {Sat}}} for a slight extension (Theorem 2.7): ∀ x , ± p ( x ) → ± q ( x ) , ∃ x , ± p ( x ) ∧ ± q ( x ) {\displaystyle...

algebraic extension of K, then there is some algebraic extension M of L such that M is a normal extension of K. Furthermore, up to isomorphism there is...

extensions there is one and only one (up to isomorphism, but not unique isomorphism) which is an algebraic extension of F; it is called the algebraic closure...