$ d_4 $-格的一个新的数域构造

International journal of pure and applied mathematics Pub Date : 2018-04-22 DOI:10.12732/IJAM.V31I2.11

J. Interlando, José Othon Dantas Lopes, T. P. D. N. Neto

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引用次数: 2

摘要

格理论中的一个经典问题是确定一个给定的格是否可以被实现为OK -格，其中OK是某数域k的整数环。本文证明了对于无穷多个全实数双二次域F，格D4可以被实现为of -格。AMS学科分类:11H06, 11H31, 11R16

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A NEW NUMBER FIELD CONSTRUCTION OF THE $D_4$-LATTICE

A classical problem in lattice theory is to determine whether a given lattice can be realized as OK -lattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized as an OF -lattice for infinitely many totally real biquadratic fields F . AMS Subject Classification: 11H06, 11H31, 11R16

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International journal of pure and applied mathematics

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