Question

Existence of a certain near-metric map on an ordered divisible abelian group

score 134 · Answer 1 · 2017-06-22 00:19:40

134

Views

Existence of a certain near-metric map on an ordered divisible abelian group

Published on 22 Jun 2017 - 0:19

score 127 · Answer 2 · 2017-07-19 15:10:55

127

Views

When does an abelian "linearly ordered group " has the property that any non-empty subset of the set of "non-negative" elements has a "least" element

Published on 19 Jul 2017 - 15:10

score 486 · Answer 3 · 2017-08-09 16:54:13

486

Views

Subgroups of the rationals is either generated by one element or infinitely generated

Published on 09 Aug 2017 - 16:54

score 48 · Answer 4 · 2017-09-08 16:40:34

48

Views

a property of a morphism of ordered groups

Published on 08 Sep 2017 - 16:40

score 62 · Answer 5 · 2017-10-25 03:00:18

62

Views

Suppose a ring R is a PID. What does this say about possible orders on the set of R?

Published on 25 Oct 2017 - 3:00

score 164 · Answer 6 · 2017-10-30 01:18:37

164

Views

On the definition of the totally ordered abelian group $\Gamma/\Delta$

Published on 30 Oct 2017 - 1:18

score 994 · Answer 7 · 2011-07-03 05:31:18

994

Views

Every torsion-free divisible abelian group admits an order compatible with the group operation

Published on 03 Jul 2011 - 5:31

score 49 · Answer 8 · 2020-09-01 19:07:27

49

Views

Question about ordered group and its order ideal.

Published on 01 Sep 2020 - 19:07

score 321 · Answer 9 · 2020-12-06 18:16:29

321

Views

Understanding totally ordered abelian groups

Published on 06 Dec 2020 - 18:16

score 49 · Answer 10 · 2020-12-24 09:43:18

49

Views

Divisible totally ordered additive abelian groups

Published on 24 Dec 2020 - 9:43

score 346 · Answer 11 · 2021-01-12 07:54:22

346

Views

Let $a$ and $n$ be integers with $n>0$. Show that the additive order of $a$ modulo $n$ is $\frac{n}{\gcd(a,n)}$.

Published on 12 Jan 2021 - 7:54

score 24 · Answer 12 · 2021-01-16 10:37:01

24

Views

Order of an element in a group problem as follows

Published on 16 Jan 2021 - 10:37

score 47 · Answer 13 · 2021-01-16 14:26:08

47

Views

Let $(G,*)$ be a group and $a \in G$. Suppose that $|a|=n$ and $n=mk$ for some positive integers $m$ and $k$. What is $|a^k|$?

Published on 16 Jan 2021 - 14:26

score 35 · Answer 14 · 2021-01-17 06:52:33

35

Views

Let $G$ be a group with $|a_i|=n_i$ for all $1\le i \le m$. Show that $|x|=n_1n_2\ldots n_m$ where $x$ defined as follows

Published on 17 Jan 2021 - 6:52

score 25 · Answer 15 · 2021-01-17 13:00:38

25

Views

Generalization of order of the product of elements in an abelian group as follows.

Published on 17 Jan 2021 - 13:00

List Question

Existence of a certain near-metric map on an ordered divisible abelian group

When does an abelian "linearly ordered group " has the property that any non-empty subset of the set of "non-negative" elements has a "least" element

Subgroups of the rationals is either generated by one element or infinitely generated

a property of a morphism of ordered groups

Suppose a ring R is a PID. What does this say about possible orders on the set of R?

On the definition of the totally ordered abelian group $\Gamma/\Delta$

Every torsion-free divisible abelian group admits an order compatible with the group operation

Question about ordered group and its order ideal.

Understanding totally ordered abelian groups

Divisible totally ordered additive abelian groups

Let $a$ and $n$ be integers with $n>0$. Show that the additive order of $a$ modulo $n$ is $\frac{n}{\gcd(a,n)}$.

Order of an element in a group problem as follows

Let $(G,*)$ be a group and $a \in G$. Suppose that $|a|=n$ and $n=mk$ for some positive integers $m$ and $k$. What is $|a^k|$?

Let $G$ be a group with $|a_i|=n_i$ for all $1\le i \le m$. Show that $|x|=n_1n_2\ldots n_m$ where $x$ defined as follows

Generalization of order of the product of elements in an abelian group as follows.

Trending Questions

Popular # Hahtags

Popular Questions