Nghĩa của từ algebraically abelian group bằng Tiếng Việt
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Đặt câu có từ "algebraically abelian group"
1. Every subgroup of an abelian group is abelian.
2. Every subgroup of a free abelian group is itself a free abelian group.
3. A torsion abelian group is an abelian group in which every element has finite order.
4. Every abelian group is a T-group.
5. Every cyclic group is abelian.
6. 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
7. Every subgroup and factor group of a finitely generated abelian group is again finitely generated abelian.
8. Any group that is virtually abelian.
9. Abelian group 1 Abelian group In abstract algebra, an Abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on their order (the axiom of commutativity).
10. Abelian group: a group whose binary operation is commutative.
11. All cyclic groups are Abelian, but an Abelian group is not necessarily cyclic
12. Every abelian group can be embedded in a divisible group.
13. Abelian definition: of or relating to an Abelian group Meaning, pronunciation, translations and examples
14. Usually E is an additive abelian group.
15. In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian.
16. Abelian actually means that the group has commutativity
17. All subgroups of an Abelian group are normal.
18. For finite groups, being Abelian and the automorphism group being Abelian as well implies cyclic
19. However, every group of order p2 is abelian.
20. Any direct sum of finitely many finitely generated abelian groups is again a finitely generated abelian group.
21. The fundamental group of an H-space is abelian.
22. A finitely generated torsion-free abelian group is free.
23. 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.
24. 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
25. The Cayley table tells us whether a group is abelian.