Nghĩa của từ left coset bằng Tiếng Việt

@Chuyên ngành kỹ thuật
-lớp (bên) trái
@Chuyên ngành kỹ thuật
-lớp (bên) trái

Đặt câu có từ "left coset"

1. Thus, H is both a left Coset and a right Coset for H

2. Thus, every left Coset of H in G has the same cardinality as …

3. Since Hg = g, the right Coset Hg and the left Coset g are the same

4. In other words: a right Coset of one subgroup equals a left Coset of a different subgroup.

5. Is just one left Coset gG= Gfor all g2G, and G=Gis the single element set fGg

6. Similarly can also define the right Coset .For simplicity, now we say, left Coset of as Coset of .

7. Left Coset and right Cosets however in general do not coincide, unless H is a normal subgroup of G

8. Theorem 1: If $$h \\in H$$, then the right (or left) Coset $$Hh$$ or $$hH$$ of $$H$$ is identical to $$H$$, and conversely

9. When H G, aH is called the left Coset of H in G containing a, and Ha is called the right Coset of H in G containing a

10. The image of a left Coset under the mapping is the right Coset .This mapping induces a bijection from the set of left Cosets of to the set of right Cosets of .

11. A subset of of the form for some is said to be a left Coset of and a subset of the form is said to be a right Coset of

12. Any two left Cosets are either identical or disjoint: the left Cosets form a partition of G, because every element of G belongs to one and only one left Coset.

13. Since the group operation is addition, we write Cosets additively: for example, the left Coset of h4icontaining x 2Z 12 is the subset x +h4i= fx +n : n 2h4ig= fx, x +4, x +8g 2

14. A left Coset is an equivalence class of G / ∼, where ∼ is the equivalence relation that states that two elements of the group, g 1 and g 2, are equivalent if g 1 = g 2 h for some element h ∈ H