Frobenius and Dieudonné theorems over semirings

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

doi:10.1080/03081080500361256

Frobenius and Dieudonné theorems over semirings

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We obtain semiring versions of classical theorems by Frobenius and Dieudonné on determinant, singularity, and non-singularity preservers.

Original language	English
Pages (from-to)	19-34
Number of pages	16
Journal	Linear and Multilinear Algebra
Volume	55
Issue number	1
DOIs	https://doi.org/10.1080/03081080500361256
State	Published - 1 Jan 2007
Externally published	Yes

Bibliographical note

Funding Information:
This work was supported by grant F01-2004-000-10064-0 from Korea Science and Engineering Foundation. The second author was also supported in part by the grants INTAS YSF 03-55-1919 and NSH-1910.2003.01. The third author was supported in part by the SRC/ERC program of MOST/KOSEE R11-1999-054.

Funding

This work was supported by grant F01-2004-000-10064-0 from Korea Science and Engineering Foundation. The second author was also supported in part by the grants INTAS YSF 03-55-1919 and NSH-1910.2003.01. The third author was supported in part by the SRC/ERC program of MOST/KOSEE R11-1999-054.

Funders	Funder number
INTAS	NSH-1910.2003.01, YSF 03-55-1919
MOST/KOSEE	R11-1999-054
Korea Science and Engineering Foundation

Keywords

Bideterminant
Determinant
Linear transformations
Semirings
Singularity

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10.1080/03081080500361256

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title = "Frobenius and Dieudonn{\'e} theorems over semirings",

abstract = "We obtain semiring versions of classical theorems by Frobenius and Dieudonn{\'e} on determinant, singularity, and non-singularity preservers.",

keywords = "Bideterminant, Determinant, Linear transformations, Semirings, Singularity",

author = "Beasley, \{Leroy B.\} and Guterman, \{Alexander E.\} and Lee, \{Sang Gu\} and Song, \{Seok Zun\}",

note = "Funding Information: This work was supported by grant F01-2004-000-10064-0 from Korea Science and Engineering Foundation. The second author was also supported in part by the grants INTAS YSF 03-55-1919 and NSH-1910.2003.01. The third author was supported in part by the SRC/ERC program of MOST/KOSEE R11-1999-054.",

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AU - Beasley, Leroy B.

AU - Guterman, Alexander E.

AU - Lee, Sang Gu

AU - Song, Seok Zun

N1 - Funding Information: This work was supported by grant F01-2004-000-10064-0 from Korea Science and Engineering Foundation. The second author was also supported in part by the grants INTAS YSF 03-55-1919 and NSH-1910.2003.01. The third author was supported in part by the SRC/ERC program of MOST/KOSEE R11-1999-054.

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N2 - We obtain semiring versions of classical theorems by Frobenius and Dieudonné on determinant, singularity, and non-singularity preservers.

AB - We obtain semiring versions of classical theorems by Frobenius and Dieudonné on determinant, singularity, and non-singularity preservers.

KW - Bideterminant

KW - Determinant

KW - Linear transformations

KW - Semirings

KW - Singularity

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SN - 0308-1087

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JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 1

ER -

Frobenius and Dieudonné theorems over semirings

Abstract

Bibliographical note

Funding

Keywords

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