• 179 Citations
20102019

Research output per year

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Research Output

  • 179 Citations
  • 24 Article
  • 4 Working paper
  • 1 Chapter (peer-reviewed)
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Article
2019

Summand absorbing submodules of a module over a semiring

Izhakian, Z., Knebusch, M. & Rowen, L., 31 Aug 2019, In : Journal of Pure and Applied Algebra. 223, 8, p. 3262-3294 33 p.

Research output: Contribution to journalArticle

File
1 Citation (Scopus)
13 Downloads (Pure)

Tropical plactic algebra, the cloaktic monoid, and semigroup representations

Izhakian, Z., 15 Apr 2019, In : Journal of Algebra. 524, p. 290-366 77 p.

Research output: Contribution to journalArticle

2018

Decompositions of modules lacking zero sums

Izhakian, Z., Knebusch, M. & Rowen, L., 30 Apr 2018, In : Israel Journal of Mathematics. 225, 2, p. 503-524 22 p.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
5 Downloads (Pure)

Supertropical quadratic forms II: Tropical trigonometry and applications

Izhakian, Z., Knebusch, M. & Rowen, L., 30 Sep 2018, In : International Journal of Algebra and Computation. 28, 8, p. 1633-1676 44 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Supertropical SLn

Izhakian, Z., Niv, A. & Rowen, L., 2018, In : Linear and Multilinear Algebra. 66, 7, p. 1461-1483 23 p.

Research output: Contribution to journalArticle

Tropical matrix groups

Izhakian, Z., Johnson, M. & Kambites, M., Feb 2018, In : Semigroup Forum. 96, 1, p. 178-196 19 p.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
5 Downloads (Pure)
2017

Basic Operations on Supertropical Quadratic Forms

Izhakian, Z. & Knebusch, M., 2017, In : Documenta Mathematica. 22, p. 1661-1707 47 p.

Research output: Contribution to journalArticle

Open Access
2016

Congruences and coordinate semirings of tropical varieties

Izhakian, Z. & Rowen, L., Apr 2016, In : Bulletin des Sciences Mathematiques. 140, 3, p. 231-259 29 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Minimal orderings and quadratic forms on a free module over a supertropical semiring

Izhakian, Z., Knebusch, M. & Rowen, L., 15 Oct 2016, In : Linear Algebra and its Applications. 507, p. 420-461 42 p.

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
5 Downloads (Pure)

Pure dimension and projectivity of tropical polytopes

Izhakian, Z., Johnson, M. & Kambites, M., 5 Nov 2016, In : Advances in Mathematics. 303, p. 1236-1263 28 p.

Research output: Contribution to journalArticle

Open Access
File
11 Citations (Scopus)
4 Downloads (Pure)

Quadratic and symmetric bilinear forms on modules with unique base over a semiring

Izhakian, Z., Rowen, L. & Knebusch, M., 31 Dec 2016, In : Documenta Mathematica. 21, p. 773-808 36 p.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
6 Downloads (Pure)

Semigroup identities of tropical matrix semigroups of maximal rank

Izhakian, Z., 1 Jun 2016, In : Semigroup Forum. 92, 3, p. 712-732 21 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Supertropical quadratic forms I

Izhakian, Z., Knebusch, M. & Rowen, L., 1 Jan 2016, In : Journal of Pure and Applied Algebra. 220, 1, p. 61-93 33 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2015

Categories of Layered Semirings

Izhakian, Z., Knebusch, M. & Rowen, L., 4 May 2015, In : Communications in Algebra. 43, 5, p. 1807-1836 30 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Decision making in phantom spaces

Izhakian, Y. & Izhakian, Z., Jan 2015, In : Economic Theory. 58, 1, p. 59-98 40 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Monoid valuations and value ordered supervaluations

Izhakian, Z., Knebusch, M. & Rowen, L., 2015, In : Communications in Algebra. 43, 8, p. 3207-3248 42 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Superboolean rank and the size of the largest triangular submatrix of a random matrix

Izhakian, Z., Janson, S. & Rhodes, J., Jan 2015, In : Proceedings of the American Mathematical Society. 143, 1, p. 407-418 12 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The ultimate rank of tropical matrices

Guillon, P., Izhakian, Z., Mairesse, J. & Merlet, G., 1 Sep 2015, In : Journal of Algebra. 437, p. 222-248 27 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2014

Layered tropical mathematics

Izhakian, Z., Knebusch, M. & Rowen, L., 15 Oct 2014, In : Journal of Algebra. 416, p. 200-273 74 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Semigroup identities in the monoid of triangular tropical matrices

Izhakian, Z., Feb 2014, In : Semigroup Forum. 88, 1, p. 145-161 17 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2012

Idempotent semigroups and tropical algebraic sets

Izhakian, Z. & Shustin, E., 2012, In : Journal of the European Mathematical Society. 14, 2, p. 489-520 32 p.

Research output: Contribution to journalArticle

2011

Representation theory of finite semigroups over semirings

Izhakian, Z., Rhodes, J. & Steinberg, B., 15 Jun 2011, In : Journal of Algebra. 336, 1, p. 139-157 19 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Supertropical matrix algebra

Izhakian, Z. & Rowen, L., Mar 2011, In : Israel Journal of Mathematics. 182, 1, p. 383-424 42 p.

Research output: Contribution to journalArticle

30 Citations (Scopus)
2010

Supertropical algebra

Izhakian, Z. & Rowen, L., 10 Nov 2010, In : Advances in Mathematics. 225, 4, p. 2222-2286 65 p.

Research output: Contribution to journalArticle

57 Citations (Scopus)