List questions from ordered-groups

Published on 09 Feb 2015 - 17:11

29

Views

Atoms of the Lattice of $\ell$-ideals of a lattice ordered group

Published on 12 Feb 2015 - 11:32

700

Views

Can every torsion-free nilpotent group be ordered?

Published on 28 May 2015 - 5:31

97

Views

An $RO$-group which is not $O$-group

Published on 28 May 2015 - 18:49

100

Views

Equivalent condition of spliting exact sequence of partially ordered groups

Published on 07 Jun 2015 - 19:38

549

Views

Partial order relation on the group of integers

Published on 23 Jun 2015 - 17:05

188

Views

Can the order on an ordered, cancellative monoid be extended to its Grothendieck group?

Published on 30 Aug 2015 - 20:25

36

Views

On ordered abelian groups containing $\mathbb{Z}$

Published on 08 Nov 2015 - 4:13

832

Views

Intervals in divisible ordered groups

Published on 04 Jan 2016 - 9:00

89

Views

Probability to find at least one alphabetically ordered subset of K elements in a set of N elements

Published on 15 Mar 2016 - 0:39

45

Views

Ordered ring and mutiplicative ordinal

Published on 08 Apr 2016 - 14:07

154

Views

Is there any order isomorphic function between $\mathbb N \times \mathbb Z$ to $\mathbb Z \times \mathbb N$?

Published on 20 May 2016 - 15:49

217

Views

Can all non-archimedean groups be written as a product of archimedean groups?

Published on 15 May 2013 - 2:43

90

Views

Counting permutations without fixpoint

Published on 19 Apr 2017 - 16:49

69

Views

If ordered ring $A$ has upper or lower bound, then, $A = \{0\}$ (alternative proof)

Published on 06 Jun 2017 - 23:32

List Question

Left orderable Group has infinite order

Atoms of the Lattice of $\ell$-ideals of a lattice ordered group

Can every torsion-free nilpotent group be ordered?

An $RO$-group which is not $O$-group

Equivalent condition of spliting exact sequence of partially ordered groups

Partial order relation on the group of integers

Can the order on an ordered, cancellative monoid be extended to its Grothendieck group?

On ordered abelian groups containing $\mathbb{Z}$

Intervals in divisible ordered groups

Probability to find at least one alphabetically ordered subset of K elements in a set of N elements

Ordered ring and mutiplicative ordinal

Is there any order isomorphic function between $\mathbb N \times \mathbb Z$ to $\mathbb Z \times \mathbb N$?

Can all non-archimedean groups be written as a product of archimedean groups?

Counting permutations without fixpoint

If ordered ring $A$ has upper or lower bound, then, $A = \{0\}$ (alternative proof)

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