Order preserving maps on the poset of upper triangular idempotent matrices /
We obtain the general form of bijective order and orthogonality preserving maps on the poset of all ▫$n\times n$▫ upper triangular idempotent matrices over an arbitrary filed ▫$\FF$▫. We also show that the assumption of surjectivity can be removed if every nonzero homomorphism ▫$g:\FF \to \FF$▫ is s...
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| Format: | Book Chapter |
| Jezik: | English |
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| Sorodne knjige/članki: | Vsebovano v:
Linear Algebra and its Applications |
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| LEADER | 01281naa a2200205 ib4500 | ||
|---|---|---|---|
| 001 | 14090248 | ||
| 003 | SI-MaCOB | ||
| 005 | 20050624000000.0 | ||
| 008 | 050624s2005 xxu||||f||||||||| ||eng c | ||
| 040 | |a PEFMB |b slv |c SI-MaIIZ |d PEFMB |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 080 | |a 512.6 | ||
| 100 | 1 | |a Fošner, Ajda. |4 aut | |
| 245 | 0 | 0 | |a Order preserving maps on the poset of upper triangular idempotent matrices / |c Ajda Fošner. |
| 300 | |a str. 248-262. | ||
| 504 | |a Bibliografija: str. 261-262. | ||
| 520 | |a We obtain the general form of bijective order and orthogonality preserving maps on the poset of all ▫$n\times n$▫ upper triangular idempotent matrices over an arbitrary filed ▫$\FF$▫. We also show that the assumption of surjectivity can be removed if every nonzero homomorphism ▫$g:\FF \to \FF$▫ is surjective. | ||
| 653 | 0 | |a matematika |a linearna algebra |a teorija matrik |a zgoraj trikotne idempotentne matrike |a delno urejene množice |a ohranjevalci ortogonalnosti |a red | |
| 653 | 0 | |a mathematics |a linear algebra |a matrix theory |a triangular matrices |a upper triangular idempotent matrices |a automorphisms of the poset |a orthogonality preservers |a order | |
| 773 | 0 | |t Linear Algebra and its Applications |b [Print ed.] |d New York : North Holland, 1968- |x 0024-3795 |g 403 (2005), str. 248-262 | |