Concepedia

Ring Of Integers

The Ring of Integers is the integral closure of the ring of rational integers in a given number field, consisting of all algebraic integers within that field.

192

Publications

6.4K

Citations

207

Authors

120

Institutions

Publications per year

2017–2026

7

Variants

Maximal Order

Parents

Publications

192

Direct products of modules

Stephen U. Chase · Transactions of the American Mathematical Society · 1960 · 571 citations

, , +11

The arithmetic of continuous Z-numbers

Rafik Aziz Aliev, O. H. Huseynov, Lala M. Zeinalova · Information Sciences · 2016 · 174 citations

, , +6

Isogeny classes of abelian varieties over finite fields

Taira Honda · Journal of the Mathematical Society of Japan · 1968 · 155 citations · Full text

, , +10

Direct Products of Modules

Stephen U. Chase · Transactions of the American Mathematical Society · 1960 · 151 citations · Full text

, , +11

A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan

R. Salem · Duke Mathematical Journal · 1944 · 117 citations

, , +12

1–5 of 192

Authors

207

  1. AS
    Alexandra Shlapentokh

    East Carolina University, United States

    5 publications · 97 citations

    5

    h-index

  2. IR
    Irving Reiner

    University of Illinois Urbana-Champaign, United States

    4 publications · 273 citations

    4

    h-index

  3. NJ
    Nicholas J. Werner

    University of Evansville, United States

    4 publications · 107 citations

    4

    h-index

  4. KA
    K. Alan Loper

    The Ohio State University Newark, United States

    2 publications · 47 citations

    3

    h-index

  5. ST
    Scott T. Chapman

    Trinity University, United States

    3 publications · 73 citations

    3

    h-index

1–5 of 207

Institutions

120

  1. Graz University of Technology

    Graz, Austria

    5 h-index

    6 publications

    143 citations

  2. Florida State University

    Tallahassee, United States

    4 h-index

    4 publications

    105 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    5 publications

    91 citations

  4. East Carolina University

    Greenville, United States

    4 h-index

    4 publications

    74 citations

  5. California State University, Channel Islands

    Camarillo, United States

    3 h-index

    3 publications

    57 citations

  6. University of New Mexico

    Albuquerque, United States

    3 h-index

    3 publications

    54 citations

  7. University of Oslo

    Oslo, Norway

    3 h-index

    3 publications

    155 citations

  8. Université de Picardie Jules Verne

    Amiens, France

    3 h-index

    3 publications

    65 citations

1–8 of 120

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 13 publications · 1.1K citations

    12

    h-index

  2. Journal of Algebra

    14 publications · 317 citations

    12

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 13 publications · 430 citations

    11

    h-index

  4. Pacific Journal of Mathematics

    9 publications · 367 citations

    9

    h-index

  5. Journal of Number Theory

    8 publications · 148 citations

    8

    h-index

1–5