Definition of Isomorphisms. Meaning of Isomorphisms. Synonyms of Isomorphisms

Here you will find one or more explanations in English for the word Isomorphisms. Also in the bottom left of the page several parts of wikipedia pages related to the word Isomorphisms and, of course, Isomorphisms synonyms and on the right images related to the word Isomorphisms.

Definition of Isomorphisms

Isomorphism
Isomorphism I`so*mor"phism, n. [Cf. F. isomorphisme.] (Crystallog.) A similarity of crystalline form between substances of similar composition, as between the sulphates of barium (BaSO4) and strontium (SrSO4). It is sometimes extended to include similarity of form between substances of unlike composition, which is more properly called hom[oe]omorphism.

Meaning of Isomorphisms from wikipedia

- isomorphic, with a unique isomorphism. The isomorphism theorems provide canonical isomorphisms that are not unique. The term isomorphism is mainly used for algebraic...
- {T}}M.} These are isomorphisms of vector bundles and, hence, we have, for each p in M, mutually inverse vector space isomorphisms between Tp M and T∗...
- mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship...
- characterization of order isomorphisms is that they are exactly the monotone bijections that have a monotone inverse. An order isomorphism from a partially ordered...
- triality automorphism. There are some exceptional isomorphisms of Dynkin diagrams, yielding isomorphisms of the corresponding Coxeter groups and of polytopes...
- the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform...
- of a ring Isomorphism theorems theorems that ****ert that some homomorphisms involving quotients and subobjects are isomorphisms Isomorphism (sociology)...
- An isomorph is an organism that does not change in shape during growth. The implication is that its volume is proportional to its cubed length, and its...
- decreases the level of detail provided by the theory. Awodey, Steve (2006). "Isomorphisms". Category theory. Oxford University Press. p. 11. ISBN 9780198568612...
- In abstract algebra, a group isomorphism is a function between two groups that sets up a bijection between the elements of the groups in a way that respects...