Results 101 to 110 of about 18,021 (212)
The Ideal Form of the Skew Polynomial Ring Over Quaternion
, 2016 This research was carried out in order to develop theory about the skew polynomial ring over non-commutative ring. This study aimed to find the ideal form of the skew polynomial ring over the quaternion. The research method was the library study.
Bahri, M., Amir, A. K., Djuddin, J.
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The finite irreducible linear groups with polynomial ring of invariants
, 1996 We prove the following result: Let G be a finite irreducible linear group. Then the ring of invariants of G is a polynomial ring if and only if G is generated by pseudo-reflections and the point-wise stabilizer in G of any non-trivial subspace has a ...
Kemper, G. +2 more
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More on Codes Over Finite Quotients of Polynomial Rings
IEEE AccessLet $q=p^{r}$ be a prime power, ${\mathbb {F}}_{q}$ be the finite field of order q and $f(x)$ be a monic polynomial in ${\mathbb {F}}_{q}[x]$ . Set ${\mathbb {A}}:={\mathbb {F}}_{q}[x]/{\left \lt {{ f(x) }}\right \gt }$ .
Emad Kadhim Al-Lami +3 more
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Groups of Polynomial Permutations over Finite Commutative Rings
四川大学学报. 自然科学版, 2016 Sophie Frisch characterized the structure of the group of polynomial permutations over $\mathbb{Z}/p^2\mathbb{Z}$. Qifan Zhang found a correspondence between polynomial functions over $\mathbb{Z}/p^2\mathbb{Z}$ and 3-tuples of polynomial functions over $\
PAN Jia-Kun, ZHANG Qi-Fan
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The module structure of a group action on a polynomial ring: A finiteness theorem
, 2007 Consider a group acting on a polynomial ring over a finite field. We study the polynomial ring as a module for the group and prove a structure theorem with several striking corollaries.
Karagueuzian, Dikran B., Symonds, Peter
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Rings with a Polynomial Identity [PDF]
Bulletin of the American Mathematical Society, 1948 openaire +3 more sources
High-speed Polynomial Multiplication Architecture for Ring-LWE and SHE Cryptosystems [PDF]
, 2014 Polynomial multiplication is the basic and most computationally intensive operation in ring-Learning With Errors (ring-LWE) encryption and ``Somewhat Homomorphic Encryption (SHE) cryptosystems.
Ray C. C. Cheung +6 more
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Jordan derivations of polynomial rings
Karpatsʹkì Matematičnì Publìkacìï, 2009 We study connections between the set of Jordan derivations of aring $R$ and the sets of Jordan derivations of a polynomial ring$R[x_1,dots,x_n]$ and formal power series ring$R[[x_1,dots,x_n]]$.
I. I. Lishchynsky
doaj
About j{\mathscr{j}}-Noetherian rings
Open MathematicsLet RR be a commutative ring with identity and j{\mathscr{j}} an ideal of RR. An ideal II of RR is said to be a j{\mathscr{j}}-ideal if I⊈jI\hspace{0.33em} \nsubseteq \hspace{0.33em}{\mathscr{j}}.
Alhazmy Khaled +3 more
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