World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
5546
World Ranking
3294
National Ranking
1301

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to universal algebra and for mathematical exposition.
  • 1972 - Fellow of Alfred P. Sloan Foundation

Overview

Ralph McKenzie is affiliated with Vanderbilt University in the United States. Their academic work spans several areas within computer science, with a particular focus on computational theory and mathematics, artificial intelligence, and algebra and number theory.

The primary fields of study in McKenzie's research include:

  • Computer Science

Within these fields, more specific subfields have been explored, such as:

  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Algebra and Number Theory

The main topics covered by McKenzie's work are:

  • Advanced Algebra and Logic
  • Semigroups and Automata Theory
  • Logic, Reasoning, and Knowledge
  • Rings, Modules, and Algebras

Recent published papers include:

  • SMB algebras I: On the variety of SMB algebras, 2023, Filomat
  • SMB algebras I: On the variety of SMB algebras, 2022, arXiv (Cornell University)
  • Index, 2022, Mathematical surveys and monographs

Frequent co-authors collaborating with McKenzie are:

  • Ralph Freese
  • George F. McNulty
  • Walter Taylor
  • Aleksandar Prokić
  • Petar Marković

McKenzie has published in several academic venues, including:

  • Filomat
  • arXiv (Cornell University)
  • Mathematical surveys and monographs

Among book publications, McKenzie has contributed to volumes published by Mathematical surveys and monographs, including two editions of "Algebras, Lattices, Varieties" in 2022, which have received numerous citations.

Awards conferred to McKenzie include:

  • Fellow of the American Mathematical Society, 2016, for contributions to universal algebra and mathematical exposition
  • Fellow of Alfred P. Sloan Foundation, 1972

Best Publications

  • Algebras, lattices, varieties

    Ralph N. McKenzie;George F. McNulty;Walter F. Taylor

  • The structure of finite algebras

    David Charles Hobby;Ralph N. McKenzie

  • Commutator theory for congruence modular varieties

    Ralph S. Freese;Ralph N. McKenzie

  • Equational bases and nonmodular lattice varieties

    Ralph McKenzie

  • Existence theorems for weakly symmetric operations

    Miklós Maróti;Ralph McKenzie

  • Tractability and Learnability Arising from Algebras with Few Subpowers

    PaweŁ Idziak;Petar Marković;Ralph McKenzie;Matthew Valeriote

  • Equational Bases for Lattice Theories.

    Ralph Mckenzie

  • Varieties with few subalgebras of powers

    Joel Berman;Pawel M. Idziak;Petar Markovic;Ralph McKenzie

  • An Elementary Construction of Unsolvable Word Problems in Group Theory

    Ralph McKenzie;Richard J. Thompson

  • TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE

    Ralph Mckenzie

  • Para primal varieties: A study of finite axiomatizability and definable principal congruences in locally finite varieties

    Ralph McKenzie

  • Cardinal multiplication of structures with a reflexive relation

    Ralph McKenzie

  • On Spectra, and the Negative Solution of the Decision Problem for Identities having a Finite Nontrivial Model

    Ralph Mckenzie

  • Decidability and Boolean Representations

    Stanley Burris;Ralph N. McKenzie

  • An algebraic version of categorical equivalence for varieties and more general algebraic categories

    Ralph McKenzie

  • Residually small varieties with modular congruence lattices

    Ralph Freese;Ralph McKenzie

  • Finite forbidden lattices

    Ralph McKenzie

  • Structure of Decidable Locally Finite Varieties

    R. McKenzie;M. Valeriote

  • Tractability and learnability arising from algebras with few subpowers

    P. Idziak;P. Markovic;R. McKenzie;M. Valeriote

  • Representations of integral relation algebras.

    Ralph McKenzie

Frequent Co-Authors

Bjarni Jónsson
Bjarni Jónsson Vanderbilt University
Manfred Droste
Manfred Droste Leipzig University

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