A generalisation of Amitsur's A-polynomials

Adam Owen; Susanne Pumplün

Communications in Mathematics (2021)

  • Volume: 29, Issue: 2, page 281-289
  • ISSN: 1804-1388

Abstract

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We find examples of polynomials f ∈ D [ t ; σ , δ ] whose eigenring ℰ ( f ) is a central simple algebra over the field F = C ∩ Fix ( σ ) ∩ Const ( δ ) .

How to cite

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Owen, Adam, and Pumplün, Susanne. "A generalisation of Amitsur's A-polynomials." Communications in Mathematics 29.2 (2021): 281-289. <http://eudml.org/doc/298235>.

@article{Owen2021,
abstract = {We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal \{E\}(f)$ is a central simple algebra over the field $F = C \cap \mathrm \{Fix\}(\sigma ) \cap \mathrm \{Const\}(\delta )$.},
author = {Owen, Adam, Pumplün, Susanne},
journal = {Communications in Mathematics},
keywords = {Skew polynomial ring; reducible skew polynomials; eigenspace; nonassociative algebra; semisimple Artinian ring},
language = {eng},
number = {2},
pages = {281-289},
publisher = {University of Ostrava},
title = {A generalisation of Amitsur's A-polynomials},
url = {http://eudml.org/doc/298235},
volume = {29},
year = {2021},
}

TY - JOUR
AU - Owen, Adam
AU - Pumplün, Susanne
TI - A generalisation of Amitsur's A-polynomials
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
VL - 29
IS - 2
SP - 281
EP - 289
AB - We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal {E}(f)$ is a central simple algebra over the field $F = C \cap \mathrm {Fix}(\sigma ) \cap \mathrm {Const}(\delta )$.
LA - eng
KW - Skew polynomial ring; reducible skew polynomials; eigenspace; nonassociative algebra; semisimple Artinian ring
UR - http://eudml.org/doc/298235
ER -

References

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