Results 181 to 190 of about 18,021 (212)
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Polynomials Annihilating the Witt Ring
Mathematische Nachrichten, 1997AbstractLet F be a non‐formally real field of characteristic not 2 and let W(F) be the Witt ring of F. In certain cases generators for the annihilator ideal equation image are determined. Aim the primary decomposition of A(F) is given. For formally d fields F, as an analogue the primary decomposition of At(F) = {f(X) ∈ Z[X]| f(ω) = 0 for all ω ∈ Wt(F)
Ongenae, Veerle, van Geel, Jan
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On the Automorphism Group of a polynomial differential ring in two variables
Journal of Algebra, 2021René Baltazar, Ivan Pan
exaly
2009
Abstract In chapter 2 we encountered some of the basic properties of rings and fields. In particular, we considered the ring of polynomials in a single variable and saw how essential that theory is to the study of finite fields. In this chapter we return to the study of rings and polynomials, but this time we will be interested in some ...
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Abstract In chapter 2 we encountered some of the basic properties of rings and fields. In particular, we considered the ring of polynomials in a single variable and saw how essential that theory is to the study of finite fields. In this chapter we return to the study of rings and polynomials, but this time we will be interested in some ...
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Counting skew monomials in the Frobenius skew polynomial ring
Communications in Algebra, 2023Florian Enescu
exaly
1990
A ring R is a generalization of a field. It has operations of addition and multiplication, and R must be an abelian group under addition (just as for a field). However, the only requirement for multiplication is that it distribute over addition: $$ a(b + c) = ab + ac, and (a + b)c = ac + bc. $$ (1)
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A ring R is a generalization of a field. It has operations of addition and multiplication, and R must be an abelian group under addition (just as for a field). However, the only requirement for multiplication is that it distribute over addition: $$ a(b + c) = ab + ac, and (a + b)c = ac + bc. $$ (1)
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On Automorphisms of Polynomial Rings
Bulletin of the London Mathematical Society, 1982openaire +2 more sources
A polynomial ring that is Jacobson radical and not nil
Israel Journal of Mathematics, 2001Agata Smoktunowicz, Puczyłowski E R
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High-Speed Polynomial Multiplication Architecture for Ring-LWE and SHE Cryptosystems
IEEE Transactions on Circuits and Systems I: Regular Papers, 2015Nele Mentens +2 more
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Lifting of generators of ideals to Laurent polynomial ring
Beitrage Zur Algebra Und Geometrie, 2012Shiv Datt Kumar
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