Sebastian Kreinecker

activity

20172020

collaborators

3 papers

math.RA2020

The lattice of monomial clones on finite fields

Sebastian Kreinecker

We investigate the lattice of clones that are generated by a set of functions that are induced on a finite field $F$ by monomials. We study the atoms and coatoms of this l…

math.RA2018

Closed function sets on groups of prime order

Sebastian Kreinecker

We give a full description of all sets of functions on the group $(Z_{p}, +)$ of prime order which are closed under the composition with the clone generated by $+$ from bot…

math.RA2017

Subnearrings of $(Z [x], +, \circ)$

Erhard Aichinger, Sebastian Kreinecker

We show that the nearring $(Z [x], +, \circ)$ of integer polynomials, where the nearring multiplication is the composition of polynomials, has uncountably many subnearrings,…

The lattice of monomial clones on finite fields

Closed function sets on groups of prime order

Subnearrings of (Z[x],+,∘)

Subnearrings of $(Z [x], +, \circ)$