Results 221 to 230 of about 1,202 (263)

Sal is a proteobacterial bile acid aldolase that repurposes key thiolase catalytic residues for retroaldol cleavage of C₅ steroid side chains. [PDF]

J Biol Chem
Rolfe N, Schroeter KL, Forrester TJ, Kimber MS, Seah SY.   +4 more
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The shifted convolution problem in function fields. [PDF]

Math Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

Exploring oxide quasicrystals in internal space. [PDF]

Acta Crystallogr A Found Adv
Schenk S, Haller M, Förster S, Widdra W.   +3 more
europepmc   +1 more source

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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K i Groups of Rings of Algebraic Integers

Annals of Mathematics, 1975
Harris, B., Segal, G.
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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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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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