isomorphism theorems造句
例句与造句
- *PM : isomorphism theorems on algebraic systems, id = 8984 new !-- WP guess : isomorphism theorems on algebraic systems-- Status:
- The three isomorphism theorems, called " homomorphism theorem ", and " two laws of isomorphism " when applied to groups, appear explicitly.
- This paper also contains what now are called the isomorphism theorems, which describe some fundamental natural isomorphisms, and some other basic results on Noetherian and Artinian modules.
- *PM : proof of second isomorphism theorem for rings, id = 7206-- WP guess : proof of second isomorphism theorem for rings-- Status:
- *PM : proof of second isomorphism theorem for rings, id = 7206-- WP guess : proof of second isomorphism theorem for rings-- Status:
- It's difficult to find isomorphism theorems in a sentence. 用isomorphism theorems造句挺难的
- The fundamental theorem on homomorphisms ( or first isomorphism theorem ) is a theorem, again taking various forms, that applies to the quotient algebra defined by the kernel.
- This is a consequence of the first isomorphism theorem, because is precisely the set of those elements of that give the identity mapping as corresponding inner automorphism ( conjugation changes nothing ).
- The Ornstein isomorphism theorem is in fact considerably deeper : it provides a simple criterion by which many different measure-preserving dynamical systems can be judged to be isomorphic to Bernoulli schemes.
- The isomorphism theorems are also fundamental in the field of K-theory, and arise in ostensibly non-algebraic situations such as functional analysis ( in particular the analysis of Fredholm operators .)
- In the mathematical field of abstract algebra, the "'isomorphism theorems "'consist of three ( or sometimes four ) theorems describing the structure of homomorphisms of many different types of algebraic structures.
- A strengthened version of the Whitney isomorphism theorem states that, for connected graphs with more than four vertices, there is a one-to-one correspondence between isomorphisms of the graphs and isomorphisms of their line graphs.
- This isomorphism theorem has been called the " diamond theorem " due to the shape of the resulting subgroup lattice with SN at the top, S \ cap N at the bottom and with N and S to the sides.
- Before universal algebra came along, many theorems ( most notably the isomorphism theorems ) were proved separately in all of these fields, but with universal algebra, they can be proven once and for all for every kind of algebraic system.
- The Thom isomorphism theorem relates differential topology to stable homotopy theory, and this is where the Adams spectral sequence found its first major use : in 1960, Milnor and Novikov used the Adams spectral sequence to compute the coefficient ring of complex cobordism.
- By the third isomorphism theorem, there is a Galois connection between subgroups of 2 " I " and subgroups of " I ", where the closure operator on subgroups of 2 " I " is multiplication by { ? }.