Results 241 to 250 of about 114,538 (286)

Laser-induced nucleation of magnetic hopfions

Zheng F, Chen X, Yang D, Li Z, Guo J, Wang H, Hu Y, Kuchkin V, Savchenko A, Zhang H, Ding B, Hou Z, Shi W, Rybakov F, Eriksson O, Blügel S, Han Y, Dunin-Borkowski R, Kiselev N, Fu X.   +19 more
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On cohomology rings of a cyclic group and a ring of integers

On cohomology rings of a cyclic group and a ring of integers
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On cohomology rings of a cyclic group and a ring of integers

SUT Journal of Mathematics, 2002
Let \(p\) be a prime number, \(G\) be the cyclic group of order \(p^\nu\), \(\nu\) a positive integer \(\geq 1\), and \(\Gamma\) be the ring of integers of the cyclotomic field \(\mathbb{Q}(\zeta)\) for a primitive \(p^\nu\)-th root of unity \(\zeta\).
Hayami, Takao, Sanada, Katsunori
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Representations of Cyclic Groups in Rings of Integers, I

The Annals of Mathematics, 1962
Let Gk be a cyclic group of order k, and let ZGk denote its group ring over the ring Z of rational integers. We denote by n(ZGk) the number of non-isomorphic indecomposable left ZGk-modules having finite Z-bases. In 1938 Diederichsen [2] proved that n(ZG,) is finite for p a rational prime, and gave an incorrect proof that n(ZG4) is infinite.
Heller, A., Reiner, Irving
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Sum of Divisors in a Ring of Gaussian Integers

Ukrainian Mathematical Journal, 2001
Summary: We construct an asymptotic formula for a summation function for \(\sigma_a(\alpha)\), where \(\sigma_a(\alpha)\) is the sum of the \(a\)-th powers of the norms of divisors of the Gaussian integer \(\alpha\) on an arithmetic progression \(\alpha\sim\alpha_0\pmod\gamma\) and in a narrow sector \(\phi_1\leq\operatorname {arg ...
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Multiplication Of Polynomials Over The Ring Of Integers

25th Annual Symposium onFoundations of Computer Science, 1984., 2005
Let R be a ring, and let f(/spl alpha/), g(/spl alph/) /spl epsi/ R[/spl alpha/] be univariate polynomials over R of degree n. We Present an algorithm for computing the coefficients of the product f(/spl alpha/)G (/spl alpha/) by O (nlgn) multiplications. This algorithm is based on an algorithm for multiplying polynomials over the ring of integers, and
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Rings: Applications of the integers

1976
In this chapter we assemble some results on rings which we obtain by using a specific knowledge of the natural numbers and the integers. We begin the chapter with some work refining our knowledge of finite and infinite sets. We then routinely study some theorems extending the associative, commutative, and distributive laws to any finite number of ...
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A CONSTRUCTION OF THE RING OF INTEGERS

JP Journal of Algebra, Number Theory and Applications, 2020
Cherniavsky, Yonah, Jarden, Adi
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Residue computations in rings of algebraic integers

International Conference on Acoustics, Speech, and Signal Processing, 2002
Recent work has focused on doing residue computations that use quantization within a particular dense ring of integers in the complex plane. That work is generalized, and it is shown that a class of cubic integers provides a more efficient and less costly solution than other rings of integers which have been considered previously.
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