On the dimension of the space of magic squares over a field

Xiang Dong Hou; Ana G. Lecuona; Gary L. Mullen; James A. Sellers

doi:10.1016/j.laa.2012.12.014

On the dimension of the space of magic squares over a field

Xiang Dong Hou, Ana G. Lecuona, Gary L. Mullen, James A. Sellers

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

3 Scopus citations

Abstract

We study various spaces of magic squares over a field, and determine their dimensions. These results generalize the main result of Small from 1988.

Original language	English (US)
Pages (from-to)	3463-3475
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	438
Issue number	8
DOIs	https://doi.org/10.1016/j.laa.2012.12.014
State	Published - 2013
Externally published	Yes

Bibliographical note

Funding Information:
Corresponding author. E-mail addresses: xhou@usf.edu (X.-d. Hou), ana.lecuona@latp.univ-mrs.fr (A.G. Lecuona), mullen@math.psu.edu (G.L. Mullen), sellersj@psu.edu, sellersj@math.psu.edu (J.A. Sellers). 1 Ana G. Lecuona’s work is partially supported by the Spanish GEOR MTM2011-22435.

Keywords

Latin squares
Magic squares
Vector spaces

Publisher link

10.1016/j.laa.2012.12.014

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title = "On the dimension of the space of magic squares over a field",

abstract = "We study various spaces of magic squares over a field, and determine their dimensions. These results generalize the main result of Small from 1988.",

keywords = "Latin squares, Magic squares, Vector spaces",

author = "Hou, {Xiang Dong} and Lecuona, {Ana G.} and Mullen, {Gary L.} and Sellers, {James A.}",

note = "Funding Information: Corresponding author. E-mail addresses: xhou@usf.edu (X.-d. Hou), ana.lecuona@latp.univ-mrs.fr (A.G. Lecuona), mullen@math.psu.edu (G.L. Mullen), sellersj@psu.edu, sellersj@math.psu.edu (J.A. Sellers). 1 Ana G. Lecuona{\textquoteright}s work is partially supported by the Spanish GEOR MTM2011-22435.",

year = "2013",

doi = "10.1016/j.laa.2012.12.014",

language = "English (US)",

volume = "438",

pages = "3463--3475",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

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TY - JOUR

T1 - On the dimension of the space of magic squares over a field

AU - Hou, Xiang Dong

AU - Lecuona, Ana G.

AU - Mullen, Gary L.

AU - Sellers, James A.

N1 - Funding Information: Corresponding author. E-mail addresses: xhou@usf.edu (X.-d. Hou), ana.lecuona@latp.univ-mrs.fr (A.G. Lecuona), mullen@math.psu.edu (G.L. Mullen), sellersj@psu.edu, sellersj@math.psu.edu (J.A. Sellers). 1 Ana G. Lecuona’s work is partially supported by the Spanish GEOR MTM2011-22435.

PY - 2013

Y1 - 2013

N2 - We study various spaces of magic squares over a field, and determine their dimensions. These results generalize the main result of Small from 1988.

AB - We study various spaces of magic squares over a field, and determine their dimensions. These results generalize the main result of Small from 1988.

KW - Latin squares

KW - Magic squares

KW - Vector spaces

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UR - http://www.scopus.com/inward/citedby.url?scp=84875414550&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2012.12.014

DO - 10.1016/j.laa.2012.12.014

M3 - Article

AN - SCOPUS:84875414550

SN - 0024-3795

VL - 438

SP - 3463

EP - 3475

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 8

ER -

On the dimension of the space of magic squares over a field

Abstract

Bibliographical note

Keywords

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