Georg Klein

most citedA note on identities in plactic monoids and monoids of upper-triangular tropical matrices

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2022

Combinatorial results for order-preserving partial injective contraction mappings

Bayo Musa Ahmed, Nadia Aldhamri, Fatma Al-Kharousi +2

Let $I_{n}$ be the symmetric inverse semigroup on $X_{n} = {1, 2, \dots, n}$ . Let $O C I_{n}$ be the subsemigroup of $I_{n}$ consisting of all order-preser…

math.RA2022

Operadic approach to HNN-extensions of Leibniz algebras

Georg Klein, Chia Zargeh

We construct HNN-extensions of Lie di-algebras in the variety of di-algebras and provide a presentation for the replicated HNN-extension of a Lie di-algebras. Then, by applying the…

math.CO2017★ 8 cited

A note on identities in plactic monoids and monoids of upper-triangular tropical matrices

Alan J. Cain, Georg Klein, Łukasz Kubat +2

This paper uses the combinatorics of Young tableaux to prove the plactic monoid of infinite rank does not satisfy a non-trivial identity, by showing that the plactic monoid of rank…