Linear transformations preserving the Grassmannian over \(\mathcal M_n(\mathbb Z_+)\)

DOI10.1016/j.laa.2003.08.018zbMath1067.15001OpenAlexW1966324003WikidataQ57702708 ScholiaQ57702708MaRDI QIDQ703618

Seok-Zun Song, Alexander E. Guterman, Sang-Gu Lee, Leroy B. Beasley

Publication date: 11 January 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.08.018

zbMATH Keywords

matrix algebraGrassmannianlinear preserverslinear transformationsGrassmann algebraantinegative semiring

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Exterior algebra, Grassmann algebras (15A75)

Related Items (3)

On linear operators strongly preserving invariants of Boolean matrices ⋮ Linear preservers of zeros of matrix polynomials ⋮ Matrix Invariants over Semirings

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Chapter 9: miscellaneous preserver problems
• The Polynomial Identities of the Grassman Algebra

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