Let R = K[x; σ] be a skew polynomial ring over a division ring K. Necessary and sufficient condition under which common right factor of two skew polynomials exists is established. It is shown that the existence of common factor depends on the value of non-commutative (Dieudonne) determinant built on coefficients of polynomials and their σl-images.
TY - JOUR
AU - Erić, Aleksandra
PY - 2008
UR - https://grafar.grf.bg.ac.rs/handle/123456789/178
AB - Let R = K[x; σ] be a skew polynomial ring over a division ring K. Necessary and sufficient condition under which common right factor of two skew polynomials exists is established. It is shown that the existence of common factor depends on the value of non-commutative (Dieudonne) determinant built on coefficients of polynomials and their σl-images.
PB - Društvo matematičara Srbije, Beograd
T2 - Matematički vesnik
T1 - The resultant of non-commutative polynomials
EP - 21
IS - 1
SP - 8
VL - 60
UR - https://hdl.handle.net/21.15107/rcub_grafar_178
ER -
@article{
author = "Erić, Aleksandra",
year = "2008",
abstract = "Let R = K[x; σ] be a skew polynomial ring over a division ring K. Necessary and sufficient condition under which common right factor of two skew polynomials exists is established. It is shown that the existence of common factor depends on the value of non-commutative (Dieudonne) determinant built on coefficients of polynomials and their σl-images.",
publisher = "Društvo matematičara Srbije, Beograd",
journal = "Matematički vesnik",
title = "The resultant of non-commutative polynomials",
pages = "21-8",
number = "1",
volume = "60",
url = "https://hdl.handle.net/21.15107/rcub_grafar_178"
}
Erić, A.. (2008). The resultant of non-commutative polynomials. in Matematički vesnik
Društvo matematičara Srbije, Beograd., 60(1), 8-21.
https://hdl.handle.net/21.15107/rcub_grafar_178
Erić A. The resultant of non-commutative polynomials. in Matematički vesnik. 2008;60(1):8-21.
https://hdl.handle.net/21.15107/rcub_grafar_178 .
Erić, Aleksandra, "The resultant of non-commutative polynomials" in Matematički vesnik, 60, no. 1 (2008):8-21,
https://hdl.handle.net/21.15107/rcub_grafar_178 .
