Invertible commutativity preservers of matrices over max algebra
Seok-Zun Song; Kyung-Tae Kang; Young Bae Jun
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 4, page 1185-1192
- ISSN: 0011-4642
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topSong, Seok-Zun, Kang, Kyung-Tae, and Jun, Young Bae. "Invertible commutativity preservers of matrices over max algebra." Czechoslovak Mathematical Journal 56.4 (2006): 1185-1192. <http://eudml.org/doc/31098>.
@article{Song2006,
abstract = {The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We characterize the invertible linear operators that preserve the set of commuting pairs of matrices over a subalgebra of max algebra.},
author = {Song, Seok-Zun, Kang, Kyung-Tae, Jun, Young Bae},
journal = {Czechoslovak Mathematical Journal},
keywords = {max algebra; linear operator; pair of commuting matrices; max algebra; pair of commuting matrices; commutativity preserver},
language = {eng},
number = {4},
pages = {1185-1192},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Invertible commutativity preservers of matrices over max algebra},
url = {http://eudml.org/doc/31098},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Song, Seok-Zun
AU - Kang, Kyung-Tae
AU - Jun, Young Bae
TI - Invertible commutativity preservers of matrices over max algebra
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 4
SP - 1185
EP - 1192
AB - The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We characterize the invertible linear operators that preserve the set of commuting pairs of matrices over a subalgebra of max algebra.
LA - eng
KW - max algebra; linear operator; pair of commuting matrices; max algebra; pair of commuting matrices; commutativity preserver
UR - http://eudml.org/doc/31098
ER -
References
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