List questions from ordered-groups

Published on 01 Apr 2026 - 13:19

30

Views

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

Published on 23 Feb 2026 - 4:31

701

Views

Can every torsion-free nilpotent group be ordered?

Published on 23 Feb 2026 - 4:28

99

Views

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

Published on 01 Apr 2026 - 9:50

101

Views

Equivalent condition of spliting exact sequence of partially ordered groups

Published on 23 Feb 2026 - 4:28

550

Views

Partial order relation on the group of integers

Published on 23 Feb 2026 - 4:28

189

Views

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

Published on 23 Feb 2026 - 4:30

37

Views

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

Published on 23 Feb 2026 - 4:25

833

Views

Intervals in divisible ordered groups

Published on 23 Feb 2026 - 4:32

90

Views

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

Published on 23 Feb 2026 - 4:33

46

Views

Ordered ring and mutiplicative ordinal

Published on 23 Feb 2026 - 4:25

155

Views

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

Published on 23 Feb 2026 - 4:28

218

Views

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

Published on 23 Feb 2026 - 4:31

91

Views

Counting permutations without fixpoint

Published on 23 Feb 2026 - 4:25

70

Views

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

Published on 23 Feb 2026 - 4:27

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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