Concepedia

Elementary Extensions

An elementary extension is a model-theoretic extension of a structure that preserves the truth of all first-order formulas with parameters from the original structure.

203

Publications

7K

Citations

268

Authors

184

Institutions

Publications per year

2017–2026

13

Parents

Publications

203

Π⁰₁ classes and degrees of theories

Carl G. Jockusch, Robert I. Soare · Transactions of the American Mathematical Society · 1972 · 352 citations

, , +9

On Extensions of Elementary Logic

Per Lindström · Theoria · 1969 · 341 citations

, , +11

Effective procedures in field theory

A. Fröhlich, J. C. Shepherdson · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1956 · 255 citations

, , +12

Barkley Rosser. Extensions of some theorems of Gödel and Church. The journal of symbolic logic, vol. 1 (1936), pp. 87–91.

Paul Bernays · Journal of Symbolic Logic · 1937 · 200 citations

, , +8

Ultraproducts in the Theory of Models

Simon Kochen · Annals of Mathematics · 1961 · 179 citations

, , +12

1–5 of 203

Authors

268

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    5 publications · 135 citations

    5

    h-index

  2. VS
    Viorica Sofronie-Stokkermans

    Max Planck Institute for Informatics, Germany

    3 publications · 64 citations

    3

    h-index

  3. WD
    Wolfgang Drechsler

    Tallinn University of Technology, Estonia

    2 publications · 28 citations

    2

    h-index

  4. MK
    Matt Kaufmann

    The University of Texas at Austin, United States

    2 publications · 25 citations

    2

    h-index

  5. AE
    Ali Enayat

    American University, United States

    2 publications · 31 citations

    2

    h-index

1–5 of 268

Institutions

184

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    6 h-index

    8 publications

    205 citations

  2. University of Warsaw

    Warsaw, Poland

    4 h-index

    4 publications

    189 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    6 publications

    992 citations

  4. Université Paris Cité

    Paris, France

    4 h-index

    5 publications

    91 citations

  5. Rutgers, The State University of New Jersey

    New Brunswick, United States

    3 h-index

    3 publications

    69 citations

  6. University of Michigan

    Ann Arbor, United States

    3 h-index

    3 publications

    34 citations

  7. University of Amsterdam

    Amsterdam, The Netherlands

    3 h-index

    3 publications

    120 citations

  8. Max Planck Society

    Munich, Germany

    3 h-index

    5 publications

    117 citations

1–8 of 184

Venues

  1. Journal of Symbolic Logic

    39 publications · 1.5K citations

    21

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 9 publications · 551 citations

    9

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 7 publications · 276 citations

    7

    h-index

  4. arXiv (Cornell University)

    Repository · 5 publications · 74 citations

    5

    h-index

  5. Canadian Journal of Mathematics

    5 publications · 114 citations

    5

    h-index

1–5