Linear Preservers of Regular Matrices over General Boolean Algebras
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1
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An $n\times n$ matrix $A$ over a general Boolean algebra $\mathbb B _k$ is called regular if there exists an $n\times n$ matrix $G$ over $\mathbb B _k$ such that $AGA=A$. We study some properties of regular matrices over general Boolean algebras. We also determine the linear operators that strongly preserve regular matrices over general Boolean algebras.
Classification :
15A86, 15A09, 15B34.
@article{BMMS_2011_34_1_a9,
author = {Kyung-Tae Kang and Seok-Zun Song and Seong-Hee Heo and Young-Bae Jun},
title = {Linear {Preservers} of {Regular} {Matrices} over {General} {Boolean} {Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a9/}
}
TY - JOUR AU - Kyung-Tae Kang AU - Seok-Zun Song AU - Seong-Hee Heo AU - Young-Bae Jun TI - Linear Preservers of Regular Matrices over General Boolean Algebras JO - Bulletin of the Malaysian Mathematical Society PY - 2011 VL - 34 IS - 1 UR - http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a9/ ID - BMMS_2011_34_1_a9 ER -
%0 Journal Article %A Kyung-Tae Kang %A Seok-Zun Song %A Seong-Hee Heo %A Young-Bae Jun %T Linear Preservers of Regular Matrices over General Boolean Algebras %J Bulletin of the Malaysian Mathematical Society %D 2011 %V 34 %N 1 %U http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a9/ %F BMMS_2011_34_1_a9
Kyung-Tae Kang; Seok-Zun Song; Seong-Hee Heo; Young-Bae Jun. Linear Preservers of Regular Matrices over General Boolean Algebras. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a9/