Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra
Deng Yin Wang; Haishan Pan; Xuansheng Wang
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 2, page 371-379
- ISSN: 0011-4642
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topWang, Deng Yin, Pan, Haishan, and Wang, Xuansheng. "Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra." Czechoslovak Mathematical Journal 60.2 (2010): 371-379. <http://eudml.org/doc/38013>.
@article{Wang2010,
abstract = {Let $\mathcal \{P\}$ be an arbitrary parabolic subalgebra of a simple associative $F$-algebra. The ideals of $\mathcal \{P\}$ are determined completely; Each ideal of $\mathcal \{P\}$ is shown to be generated by one element; Every non-linear invertible map on $\mathcal \{P\}$ that preserves ideals is described in an explicit formula.},
author = {Wang, Deng Yin, Pan, Haishan, Wang, Xuansheng},
journal = {Czechoslovak Mathematical Journal},
keywords = {simple associative $F$-algebra; ideals; maps preserving ideals; simple associative -algebra; ideal; maps preserving ideal},
language = {eng},
number = {2},
pages = {371-379},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra},
url = {http://eudml.org/doc/38013},
volume = {60},
year = {2010},
}
TY - JOUR
AU - Wang, Deng Yin
AU - Pan, Haishan
AU - Wang, Xuansheng
TI - Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 371
EP - 379
AB - Let $\mathcal {P}$ be an arbitrary parabolic subalgebra of a simple associative $F$-algebra. The ideals of $\mathcal {P}$ are determined completely; Each ideal of $\mathcal {P}$ is shown to be generated by one element; Every non-linear invertible map on $\mathcal {P}$ that preserves ideals is described in an explicit formula.
LA - eng
KW - simple associative $F$-algebra; ideals; maps preserving ideals; simple associative -algebra; ideal; maps preserving ideal
UR - http://eudml.org/doc/38013
ER -
References
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