7 papers
Decomposition and Structure theorems for Garside-like groups with modular lattice structure
Carsten Dietzel
Despite being a vast generalization of Garside groups, right -groups with noetherian lattice structure and strong order unit share a lot of the properties of Garside groups.…
Indecomposable set-theoretical solutions to the Yang--Baxter equation on a set of size
Carsten Dietzel, Raul Sastriques Guardiola
Let and be different prime numbers. Using recent results of Cedó and Okniński, we describe isomorphism classes of indecomposable set-theoretic solutions to the Yang--Baxter…
Right -groups associated with von Neumann algebras
Carsten Dietzel
In [Rum18], Rump defined and characterized noncommutative universal groups for generalized orthomodular lattices . We give an explicit construction of in terms of…
On a theorem of Hildebrand
Carsten Dietzel
We prove that for each multiplicative subgroup of finite index in , the set of integers with is an IP-set. This generalizes a theorem of Hildeb…
A right-invariant lattice-order on groups of paraunitary matrices
Carsten Dietzel
In \cite{rump_goml}, Rump defined and characterized noncommutative universal groups for generalized orthomodular lattices . We give an explicit description of in t…
Braces of order
Carsten Dietzel
In this article we classify the left braces of order where are primes fulfilling . This classification includes a proof of three conjectures of Guarnieri and…