The Algebra of Semimagic Matrices and its Length

A. E. Guterman; O. V. Markova; S. D. Sochnev

doi:https://doi.org/10.1007/s10958-014-1868-1

The Algebra of Semimagic Matrices and its Length

A. E. Guterman, O. V. Markova, S. D. Sochnev

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

Abstract

A matrix is said to be semimagic if all its row and column sums are equal. The paper investigates the length function for the algebra of semimagic matrices with respect to different generating systems. Bibliography: 11 titles.

Original language	English
Pages (from-to)	400-413
Number of pages	14
Journal	Journal of Mathematical Sciences
Volume	199
Issue number	4
DOIs	https://doi.org/10.1007/s10958-014-1868-1
State	Published - Jun 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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https://doi.org/10.1007/s10958-014-1868-1

Cite this

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title = "The Algebra of Semimagic Matrices and its Length",

abstract = "A matrix is said to be semimagic if all its row and column sums are equal. The paper investigates the length function for the algebra of semimagic matrices with respect to different generating systems. Bibliography: 11 titles.",

author = "Guterman, {A. E.} and Markova, {O. V.} and Sochnev, {S. D.}",

note = "Funding Information: This work was supported by the grants MD-962.2014.1, RFBR 13-01-00234a, and RFBR 12-01-00140a.",

year = "2014",

month = jun,

doi = "https://doi.org/10.1007/s10958-014-1868-1",

language = "الإنجليزيّة",

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journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

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AU - Guterman, A. E.

AU - Markova, O. V.

AU - Sochnev, S. D.

N1 - Funding Information: This work was supported by the grants MD-962.2014.1, RFBR 13-01-00234a, and RFBR 12-01-00140a.

PY - 2014/6

Y1 - 2014/6

N2 - A matrix is said to be semimagic if all its row and column sums are equal. The paper investigates the length function for the algebra of semimagic matrices with respect to different generating systems. Bibliography: 11 titles.

AB - A matrix is said to be semimagic if all its row and column sums are equal. The paper investigates the length function for the algebra of semimagic matrices with respect to different generating systems. Bibliography: 11 titles.

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U2 - https://doi.org/10.1007/s10958-014-1868-1

DO - https://doi.org/10.1007/s10958-014-1868-1

M3 - مقالة

SN - 1072-3374

VL - 199

SP - 400

EP - 413

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 4

ER -

The Algebra of Semimagic Matrices and its Length

Abstract

All Science Journal Classification (ASJC) codes

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