Absolute flatness and amalgamation in pomonoids

Nasir, Sohail

doi:10.1007/s00233-011-9300-3

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Cited by 7 publications

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“…We wonder if this may be true for other ordered algebras. Also, it was conjectured in [5] that absolutely flat inverse pomonoids are amalgamation bases (cf. [2]) in the class of inverse pomonoids.…”

Section: Resultsmentioning

confidence: 99%

Epimorphisms, dominions and amalgamation in pomonoids

Nasir

2014

Semigroup Forum

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Section: Resultsmentioning

confidence: 99%

Epimorphisms, dominions and amalgamation in pomonoids

Nasir

2014

Semigroup Forum

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On subamalgams of partially ordered monoids

Subaiei

Renshaw²

2022

Semigroup Forum

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Previously one of us introduced a family of groups G M L (S), parametrized by a finite flag complex L, a regular covering M of L, and a set S of integers. We give conjectural descriptions of when G M L (S) is either residually finite or virtually torsion-free. In the case that M is a finite cover and S is periodic, there is an extension with kernel G M L (S) and infinite cyclic quotient that is a CAT(0) cubical group. We conjecture that this group is virtually special. We relate these three conjectures to each other and prove many cases of them.

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