Additive maps on matrix algebras preserving invertibility or singularity /
We characterize the additive singularity preserving almost surjective maps on ▫$M_n(F)$▫, the algebra of all ▫n\times n$▫ matrices over a field F with char ▫$F=0▫$. We also describe additive invertibility preserving surjective maps on ▫$M_n(F)$▫ and give examples showing that all the assumptions in...
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Main Authors: | , |
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Format: | Book Chapter |
Jezik: | English |
Teme: | |
Sorodne knjige/članki: | Vsebovano v:
Acta mathematica Sinica. English series |
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Izvleček: | We characterize the additive singularity preserving almost surjective maps on ▫$M_n(F)$▫, the algebra of all ▫n\times n$▫ matrices over a field F with char ▫$F=0▫$. We also describe additive invertibility preserving surjective maps on ▫$M_n(F)$▫ and give examples showing that all the assumptions in these two theorems are indispensable. |
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Fizični opis: | str. 681-684. |
Bibliografija: | Bibliografija: str. 684. |
ISSN: | 1439-8516 |