Polynomial functions on a class of finite non-commutative rings
AAA Al-Maktry, SF El-Deken - arXiv preprint arXiv:2409.10208, 2024 - arxiv.org
Let $ R $ be a finite non-commutative ring with $1\ne 0$. By a polynomial function on $ R $,
we mean a function $ F\colon R\longrightarrow R $ induced by a polynomial $ f=\sum\limits …
we mean a function $ F\colon R\longrightarrow R $ induced by a polynomial $ f=\sum\limits …
Algorithms for Calculating the Inverse of a Given R-Automorphism of R[x]
M Hajja - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative ring with identity, and let R [x] be the polynomial ring in one
indeterminate x over R. We give algorithms for calculating σ− 1 (x), where σ is a given R …
indeterminate x over R. We give algorithms for calculating σ− 1 (x), where σ is a given R …