The resultant of non-commutative polynomials
Apstrakt
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.
Ključne reči:
Polynomial ring / skew polynomial / resultantIzvor:
Matematički vesnik, 2008, 60, 1, 8-21Izdavač:
- Društvo matematičara Srbije, Beograd
Kolekcije
Institucija/grupa
GraFarTY - 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 .