scholarly journals Theory and applications of linearized multivariate skew polynomials

2022 ◽  
Vol 637 ◽  
pp. 1-23
Author(s):  
Umberto Martínez-Peñas
Keyword(s):  
Skew Polynomials

On clean and regular elements of near-ring of skew polynomials

2020 ◽  
Vol 48 (6) ◽  
pp. 2575-2590
Author(s):  
Ebrahim Hashemi ◽  
Fatemeh Shokuhifar ◽  
Abdollah Alhevaz
Keyword(s):  
Regular Elements ◽  
Skew Polynomials

Bezout domains and skew polynomials

2000 ◽  
Vol 55 (5) ◽  
pp. 1005-1006 ◽  
Author(s):  
A A Tuganbaev
Keyword(s):  
Skew Polynomials ◽  
Bezout Domains

Amitsur's property for skew polynomials of derivation type

2017 ◽  
Vol 47 (7) ◽  
pp. 2197-2218 ◽  
Author(s):  
Chan Yong Hong ◽  
Nam Kyun Kim ◽  
Yang Lee ◽  
Pace P. Nielsen
Keyword(s):  
Skew Polynomials

On Algebras of Skew Polynomials Generated by Quadratic Homogeneous Relations

2005 ◽  
Vol 129 (2) ◽  
pp. 3757-3771
Author(s):  
A. V. Golovashkin ◽  
V. M. Maximov
Keyword(s):  
Skew Polynomials

scholarly journals Irreducible skew polynomials over domains

2021 ◽  
Vol 29 (3) ◽  
pp. 75-89
Author(s):  
C. Brown ◽  
S. Pumplün
Keyword(s):  
Polynomial Ring ◽  
Skew Polynomial Ring ◽  
Weyl Algebras ◽  
Skew Polynomials ◽  
Low Degree ◽  
Skew Polynomial ◽  
Low Degree Polynomials ◽  
Injective Endomorphism

Abstract Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible. We apply them to low degree polynomials in quantized Weyl algebras and the quantum planes. We also consider f(t) = tm − a ∈ R.

Exponents of skew polynomials

2015 ◽  
Vol 49 (1) ◽  
pp. 14-14
Author(s):  
Ahmed Cherchem ◽  
André Leroy
Keyword(s):  
Skew Polynomials
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