Abelian groups in Vietnamese
danh từ
(số nhiều Abelian groups)
(toán) nhóm Aben, nhóm giao hoá
Sentence patterns related to "Abelian groups"
1. - Fuch, Abelian groups, footnote in preface
2. All abelian groups are Dedekind groups.
3. The category of all finitely generated abelian groups is also an abelian category, as is the category of all finite abelian groups.
4. Enumerating all Abelian groups of order n Problem
5. 1968/1969 he solved Specker's theorem on Abelian groups.
6. The finitely generated abelian groups can be completely classified.
7. This follows from the classification of finitely generated abelian groups.
8. This is the fundamental theorem of finitely generated abelian groups.
9. Suppose we have the following short exact sequence of abelian groups.
10. This means all Abelian groups of order nare isomorphic to this one
11. He worked especially in the theory of Abelian groups and ring theory.
12. There are also non-abelian groups generated by rotations around different axes.
13. The category of abelian groups, Ab, is a full subcategory of Grp.
14. For abelian groups all automorphisms except the trivial one are called outer automorphisms.
15. Abelian is a Python library for computations on elementary locally compact Abelian groups (LCAs)
16. Many large abelian groups possess a natural topology, which turns them into topological groups.
17. Basic algebraic structures with such an addition operation include commutative monoids and abelian groups.
18. The rank problem is decidable for finite groups and for finitely generated abelian groups.
19. The Whitehead problem on abelian groups was solved (as an independence proof) by Saharon Shelah.
20. We may create non-cyclical abelian groups by adding more rotations around the same axis.
21. The same is true for the rank of abelian groups and the length of modules.
22. Known also as right-angled Artin groups, these Abelian groups generalise the arithmetic addition of integers.
23. By the structure theorem for finite abelian groups, all such groups are products of cyclic groups.
24. Once that is done, the theorem is proven for abelian groups or modules over a ring.
25. He solved the problem of finding which abelian groups have a finite number of indecomposable modules.
26. In what follows, LCA is the category of locally compact abelian groups and continuous group homomorphisms.
27. Any direct sum of finitely many finitely generated abelian groups is again a finitely generated abelian group.
28. Give a complete list of all Abelian groups of order 144, no two of which are isomorphic
29. Unlike vector spaces, not all abelian groups have a basis, hence the special name for those that do.
30. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp.
31. An example of a non-abelian, pre-abelian category is, once again, the category of topological abelian groups.
32. Simplicial groups and simplicial abelian groups also carry closed model structures induced by that of the underlying simplicial sets.
33. For locally compact abelian groups, this property is satisfied as a result of the Markov–Kakutani fixed-point theorem.
34. His thesis was named Unendliche Abelsche Gruppen von Elementen endlicher Ordnung (Infinite abelian groups of elements of finite order).
35. We study the dynamics of a class of abelian groups of polynomial automorphisms of C2, that we call parabolic groups.
36. Abelian groups 1 Definition An Abelian group is a set A with a binary operation satisfying the following conditions: (A1) For
37. Their simplified proof of Ulm's theorem served as a model for many further generalizations to other classes of abelian groups and modules.
38. Groups for which the commutativity equation a • b = b • a always holds are called abelian groups (in honor of Niels Henrik Abel).
Nhóm mà tính chất giao hoán a • b = b • a luôn đúng được gọi là nhóm Abel (theo tên của nhà toán học Na Uy Niels Abel).
39. Papers over the next few years covered areas such as group theory, field theory, Lie rings, semigroups, Abelian groups and ring theory.
40. Abelian groups are widely studied because of their simple definition but intrinsically rich structure and their appearance in several branches within and beyond mathematics.
41. The category of abelian groups is the fundamental example of an abelian category, and accordingly every subgroup of an abelian group is a normal subgroup.
42. An Abelian group is a group for which the elements commute (i.e., for all elements and). Abelian groups therefore correspond to groups with symmetric multiplication tables
43. The goal of my thesis was to find a notion of 2-dimensional abelian category, for which symmetric 2-groups would play the role of abelian groups.
44. For example, in the category of topological abelian groups, the image of a morphism actually corresponds to the inclusion of the closure of the range of the function.
45. This addition of morphism turns Ab into a preadditive category, and because the direct sum of finitely many abelian groups yields a biproduct, we indeed have an additive category.
46. Abelian groups are generally simpler to analyze than nonAbelian groups are, as many objects of interest for a given group simplify to special cases when the group is Abelian
47. By the Fundamental Theorem of Finite Abelian Groups, every Abelian group of order 144 is isomorphic to the direct product of an Abelian group of order 16 = 24 and an Abelian group of
48. Camille Jordan named abelian groups after Norwegian mathematician Niels Henrik Abel, because Abel found that the commutativity of the group of a polynomial implies that the roots of the polynomial can be calculated by using radicals.
49. In an abelian category (such as the category of abelian groups or the category of vector spaces over a given field), consider a commutative diagram: where the rows are exact sequences and 0 is the zero object.
50. Abelian groups 1 Definition An Abelian group is a set A with a binary operation satisfying the following conditions: (A1) For all a;b;c 2A, we have a (b c) = (a b) c (the associative law)