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George Grätzer

George Grätzer

D-Index & Metrics

Mathematics

D-Index
31
Citations
12744
World Ranking
3262
National Ranking
133

Overview

George Grätzer is affiliated with the University of Manitoba in Canada and is active in the field of Computer Science, particularly focusing on advanced algebra and logic. Their research contributions encompass a range of topics within computational theory, mathematics, and related subfields.

Their main fields of study feature Computer Science, with significant work in subfields that include Computational Theory and Mathematics, Management Science and Operations Research, Discrete Mathematics and Combinatorics, Mathematical Physics, and General Health Professions.

Key topics in George Grätzer's research portfolio include:

  • Advanced Algebra and Logic
  • Semigroups and Automata Theory
  • Rough Sets and Fuzzy Logic
  • Fuzzy and Soft Set Theory
  • Advanced Combinatorial Mathematics
  • Mathematical Dynamics and Fractals
  • Multi-Criteria Decision Making

Among recent papers authored or coauthored by George Grätzer are:

  • Characterizations of relatively complemented distributive lattices (2022), published in Publicationes Mathematicae Debrecen
  • Notes on planar semimodular lattices. VIII. Congruence lattices of SPS lattices (2020), published in Algebra Universalis
  • Applying the Czédli-Schmidt sequences to congruence properties of planar semimodular lattices (2021), published in Discussiones Mathematicae - General Algebra and Applications

Frequent collaborators in their research include:

  • H. Lakser
  • Gábor Czédli
  • Kirby A. Baker
  • E. T. Schmidt
  • J. B. Nation

George Grätzer's works have appeared often in venues such as arXiv (Cornell University), Discussiones Mathematicae - General Algebra and Applications, Acta Scientiarum Mathematicarum, Algebra Universalis, and Publicationes Mathematicae Debrecen.

This publication record illustrates involvement in both preprint and peer-reviewed scholarly outputs, with 23 publications on arXiv and multiple contributions to specialized journals focused on algebra and related mathematical disciplines.

Best Publications

  • General Lattice Theory

    George A. Gratzer

  • Universal Algebra

    George A. Gratzer

  • Lattice Theory: First Concepts and Distributive Lattices

    George Grätzer

  • Lattice Theory: Foundation

    George A Gratzer

  • Characterizations of congruence lattices of abstract algebras

    G. Grätzer;E. T. Schmidt

  • The Congruences of a Finite Lattice

    George A. Gratzer

  • On congruence lattices of lattices

    G. Grätzer;E. T. Schmidt

  • The structure of pseudocomplemented distributive lattices. II. Congruence extension and amalgamation

    G. Grätzer;H. Lakser

  • Standard ideals in lattices

    G. Grätzer;E. T. Schmidt

  • Stone lattices. I. Construction theorems

    C. C. Chen;G. Grätzer

  • Two Mal'cev-type theorems in universal algebra

    G. Grätzer

  • Uniform congruence schemes

    E. Fried;G. Grätzer;R. Quackenbush

  • The Congruences of a Finite Lattice: A "Proof-by-Picture" Approach

    George A. Gratzer

  • A note on the implicational class generated by a class of structures

    G. Grätzer;H. Lakser

  • ON THE ENDOMORPHISM SEMIGROUP (AND CATEGORY) OF BOUNDED LATTICES

    George Grätzer;J. Sichler

  • Notes on planar semimodular lattices. I. Construction

    George Grätzer;Edward Knapp

  • Joins and direct products of equational classes

    G. Grätzer;H. Lakser;J. Płonka

  • Congruence lattices of finite semimodular lattices

    G. Grätzer;H. Lakser;E. T. Schmidt

  • Lattice Theory: Special Topics and Applications

    George Grätzer;Friedrich Wehrung

  • The amalgamation property in equational classes of modular lattices.

    George Grätzer;Bjarni Jónsson;H. Lakser

  • A nonassociative extension of the class of distributive lattices

    Ervin Fried;George Grätzer

  • INJECTIVE AND PROJECTIVE STONE ALGEBRAS

    R. Balbes;G. Grätzer

  • Notes on planar semimodular lattices. II. Congruences

    G. Grätzer;E. Knapp

Frequent Co-Authors

Bjarni Jónsson
Bjarni Jónsson Vanderbilt University

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