Common right factor of skew polynomials
The Resultants of Non-Commutative Polynomials
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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 estab-lished. It is shown that the existence of common factor depends on the value of non-commutative (Dieudonné) determinant built on coefficients of polynomials and their σ l -images.
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Polynomial ring / skew polynomial / resultantSource:
Matematički vesnik, 2008, 60(1)Collections
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GraFarTY - JOUR AU - Erić, Aleksandra Lj. PY - 2008 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3180 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 estab-lished. It is shown that the existence of common factor depends on the value of non-commutative (Dieudonné) determinant built on coefficients of polynomials and their σ l -images. T2 - Matematički vesnik T1 - Common right factor of skew polynomials T1 - The Resultants of Non-Commutative Polynomials VL - 60(1) UR - https://hdl.handle.net/21.15107/rcub_grafar_3180 ER -
@article{ author = "Erić, Aleksandra Lj.", 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 estab-lished. It is shown that the existence of common factor depends on the value of non-commutative (Dieudonné) determinant built on coefficients of polynomials and their σ l -images.", journal = "Matematički vesnik", title = "Common right factor of skew polynomials, The Resultants of Non-Commutative Polynomials", volume = "60(1)", url = "https://hdl.handle.net/21.15107/rcub_grafar_3180" }
Erić, A. Lj.. (2008). Common right factor of skew polynomials. in Matematički vesnik, 60(1). https://hdl.handle.net/21.15107/rcub_grafar_3180
Erić AL. Common right factor of skew polynomials. in Matematički vesnik. 2008;60(1). https://hdl.handle.net/21.15107/rcub_grafar_3180 .
Erić, Aleksandra Lj., "Common right factor of skew polynomials" in Matematički vesnik, 60(1) (2008), https://hdl.handle.net/21.15107/rcub_grafar_3180 .