翻訳と辞書 Words near each other ・ Latvia at the 1996 Summer Paralympics ・ Latvia at the 1998 Winter Olympics ・ Latvia at the 2000 Summer Olympics ・ Latvia at the 2000 Summer Paralympics ・ Latvia at the 2002 Winter Olympics ・ Latvia at the 2004 Summer Olympics ・ Latvia at the 2004 Summer Paralympics ・ Latvia at the 2006 European Athletics Championships ・ Latvia at the 2006 UCI Road World Championships ・ Lattes (disambiguation) ・ Lattes Platform ・ Lattes, Hérault ・ Lattice ・ Lattice (discrete subgroup) ・ Lattice (group) ・ Lattice (module) ・ Lattice (music) ・ Lattice (order) ・ Lattice (pastry) ・ Lattice Boltzmann methods ・ Lattice C ・ Lattice constant ・ Lattice corneal dystrophy ・ Lattice Cottage ・ Lattice degeneration ・ Lattice density functional theory ・ Lattice diffusion coefficient ・ Lattice energy ・ Lattice Engines ・ Lattice field theory Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Lattice (module) ： ウィキペディア英語版 Lattice (module) In mathematics, in the field of ring theory, a lattice is a module over a ring which is embedded in a vector space over a field, giving an algebraic generalisation of the way a lattice group is embedded in a real vector space. ==Formal definition== Let ''R'' be an integral domain with field of fractions ''K''. An ''R''-module ''M'' is a ''lattice'' in the ''K''-vector space ''V'' if ''M'' is finitely generated, ''R''-torsion-free (no non-zero element of ''M'' is annihilated by a regular element of ''R'') and an ''R''-submodule of ''V''. It is ''full'' if ''V'' = ''K''·''M''.〔Reiner (2003) pp. 44, 108〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Lattice (module)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.