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Some applications of higher commutators in Mal’cev algebras

- E. Aichinger, Nebojsa Mudrinski
- Mathematics
- 9 October 2010

We establish several properties of Bulatov’s higher commutator operations in congruence permutable varieties. We use higher commutators to prove that for a finite nilpotent algebra of finite type… Expand

On subdirect decomposition and varieties of some rings with involution. II.

- I. Dolinka, Nebojsa Mudrinski
- Mathematics
- 2004

We give a complete description of subdirectly irreducible rings with involution satisfying x = x for some positive integer n. We also discuss ways to apply this result for constructing lattices of… Expand

Notes on Endomorphisms of Henson Graphs and their Complements

- Nebojsa Mudrinski
- Mathematics, Computer Science
- Ars Comb.
- 2010

Complexity of term representations of finitary functions

- E. Aichinger, Nebojsa Mudrinski, Jakub Opršal
- Mathematics, Computer Science
- Int. J. Algebra Comput.
- 6 September 2017

TLDR

Sequences of Commutator Operations

- E. Aichinger, Nebojsa Mudrinski
- Mathematics, Computer Science
- Order
- 15 May 2012

TLDR

Finite generation of congruence preserving functions

- E. Aichinger, M. Lazic, Nebojsa Mudrinski
- Mathematics
- 29 March 2015

We investigate when the clone of congruence preserving functions is finitely generated. We obtain a full description for all finite p-groups, and for all finite algebras with Mal’cev term and simple… Expand

On Polynomials in Mal’cev Algebras

- Nebojsa Mudrinski
- Mathematics
- 30 September 2009

Types of polynomial completeness of expanded groups

- E. Aichinger, Nebojsa Mudrinski
- Mathematics
- 16 March 2009

Abstract.The polynomial functions of an algebra preserve all congruence relations. In addition, if the algebra is finite, they preserve the labelling of the congruence lattice in the sense of Tame… Expand

Polynomial clones of Mal’cev algebras with small congruence lattices

- E. Aichinger, Nebojsa Mudrinski
- Mathematics
- 1 March 2010

We show that the polynomials of every finite Mal’cev algebra with congruence lattice of height at most 2 can be described by a finite set of relations.

Neboǰsa MUDRINSKI THE LARGEST HIGHER COMMUTATOR SEQUENCE

A b s t r a c t. Given the congruence lattice L of a finite algebra A that generates a congruence permutable variety, we look for those sequences of operations on L that have the properties of higher… Expand

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