Results 11 to 20 of about 29,712 (156)
Artin's primitive root conjecture -a survey - [PDF]
, 2012 This is an expanded version of a write-up of a talk given in the fall of 2000 in Oberwolfach. A large part of it is intended to be understandable by non-number theorists with a mathematical background.
Moree, Pieter
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Supergeometry and Arithmetic Geometry [PDF]
, 2006 We define a superspace over a ring $R$ as a functor on a subcategory of the category of supercommutative $R$-algebras. As an application the notion of a $p$-adic superspace is introduced and used to give a transparent construction of the Frobenius map on
A. Schwarz +11 more
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Exact synthesis of single-qubit unitaries over Clifford-cyclotomic gate sets [PDF]
, 2015 We generalize an efficient exact synthesis algorithm for single-qubit unitaries over the Clifford+T gate set which was presented by Kliuchnikov, Maslov and Mosca. Their algorithm takes as input an exactly synthesizable single-qubit unitary--one which can
Forest, Simon +3 more
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Expansive algebraic actions of countable abelian groups [PDF]
, 2005 This paper gives an algebraic characterization of expansive actions of countable abelian groups on compact abelian groups. This naturally extends the classification of expansive algebraic $\mathbb{Z}^d$-actions given by Schmidt using complex varieties ...
Miles, Richard
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On the Ring of Integers in an Algebraic Number Field as a representation Module of Galois Group [PDF]
Nagoya Mathematical Journal, 1960 1. Introduction. It is known that there are only three rationally inequivalent classes of indecomposable integral representations of a cyclic group of prime order l. The representations of these classes are: (I) identical representation,(II) rationally irreducible representation of degree l – 1,(III) indecomposable representation consisting of one ...
openaire +3 more sources
Functional Equations Associated to Collatz-Type Maps on Integer Rings of Algebraic Number Fields
, 2021 Withdrawn due to an error in section three, where the structure of the quotient of a ring of algebraic integers modulo an ideal thereof was not incorrectly ...
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Lattices from Codes for Harnessing Interference: An Overview and Generalizations
, 2014 In this paper, using compute-and-forward as an example, we provide an overview of constructions of lattices from codes that possess the right algebraic structures for harnessing interference. This includes Construction A, Construction D, and Construction
Huang, Yu-Chih, Narayanan, Krishna R.
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AIChE Journal, EarlyView.Abstract In pharmaceutical industries, continuous manufacturing methods have already been well established to improve productivity and process intensification. However, to better understand the trade‐offs of continuous crystallizers over the existing batch production systems, a robust technoeconomic cost and sustainability analysis is necessary to ...
Jungsoo Rhim, Zoltan K. Nagy
wiley +1 more source
Hybrid structure of maximal ideals in near rings
Complex & Intelligent SystemsA hybrid structure is an arrangement that makes use of many hierarchical reporting structures and is applied to algebraic structures such as groups and rings.
B. Jebapresitha
doaj +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source