Concepedia

Direct Sum Theorems

Direct Sum Theorems is a theoretical framework in communication complexity that establishes lower bounds on the total communication required to solve multiple independent instances of a problem collectively, by asserting that the complexity of computing the direct sum of functions is at least the sum of their individual complexities.

585

Publications

20.5K

Citations

800

Authors

434

Institutions

Publications per year

2017–2026

36

Parents

Publications

585

Shellable Nonpure Complexes and Posets. I

Anders Björner, Michelle L. Wachs · Transactions of the American Mathematical Society · 1996 · 514 citations · Full text

, , +12

The unconditional basic sequence problem

W. T. Gowers, B. Maurey · Journal of the American Mathematical Society · 1993 · 501 citations · Full text

, , +13

Stable isomorphism of hereditary subalgebras of<i>C</i><sup>∗</sup>-algebras

Lawrence G. Brown · Pacific Journal of Mathematics · 1977 · 408 citations · Full text

, , +12

Complex geometry and operator theory

Michael J. Cowen, R. G. Douglas · Acta Mathematica · 1978 · 365 citations · Full text

, , +15

Idealization of a Module

D. D. Anderson, M. Winders · Journal of Commutative Algebra · 2008 · 350 citations · Full text

, , +8

1–5 of 585

Authors

800

  1. ST
    S. Tariq Rizvi

    The Ohio State University at Lima, United States

    7 publications · 490 citations

    7

    h-index

  2. PH
    Paul Hill

    Auburn University, United States

    5 publications · 134 citations

    5

    h-index

  3. MM
    Marvin Marcus

    University of California, Santa Barbara, United States

    4 publications · 64 citations

    4

    h-index

  4. TB
    Thomas Brylawski

    University of North Carolina at Chapel Hill, United States

    4 publications · 437 citations

    4

    h-index

  5. PF
    Patrick F. Smith

    University of Glasgow, United Kingdom

    4 publications · 78 citations

    4

    h-index

1–5 of 800

Institutions

434

  1. University of California, Berkeley

    Berkeley, United States

    7 h-index

    7 publications

    446 citations

  2. University of Washington

    Seattle, United States

    7 h-index

    10 publications

    456 citations

  3. University of California, Santa Barbara

    Santa Barbara, United States

    7 h-index

    11 publications

    202 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    7 publications

    301 citations

  5. Princeton University

    Princeton, United States

    6 h-index

    9 publications

    1.4K citations

  6. University of Toronto

    Toronto, Canada

    6 h-index

    6 publications

    257 citations

  7. Université Paris Cité

    Paris, France

    6 h-index

    8 publications

    183 citations

  8. The Ohio State University at Lima

    Lima, United States

    5 h-index

    8 publications

    744 citations

1–8 of 434

Venues

  1. Pacific Journal of Mathematics

    61 publications · 2.8K citations

    34

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 38 publications · 964 citations

    19

    h-index

  3. IEEE Transactions on Information Theory

    21 publications · 687 citations

    18

    h-index

  4. Communications in Algebra

    29 publications · 1K citations

    16

    h-index

  5. Canadian Journal of Mathematics

    18 publications · 441 citations

    15

    h-index

1–5