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Titlebook: Semidistributive Modules and Rings; Askar A. Tuganbaev Book 1998 Springer Science+Business Media Dordrecht 1998 DEX.Division.Finite.Invari

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发表于 2025-3-21 17:30:12 | 显示全部楼层 |阅读模式
书目名称Semidistributive Modules and Rings
编辑Askar A. Tuganbaev
视频videohttp://file.papertrans.cn/865/864916/864916.mp4
丛书名称Mathematics and Its Applications
图书封面Titlebook: Semidistributive Modules and Rings; Askar A. Tuganbaev Book 1998 Springer Science+Business Media Dordrecht 1998 DEX.Division.Finite.Invari
描述A module M is called distributive if the lattice Lat(M) of all its submodules is distributive, i.e., Fn(G + H) = FnG + FnH for all submodules F,G, and H of the module M. A module M is called uniserial if all its submodules are comparable with respect to inclusion, i.e., the lattice Lat(M) is a chain. Any direct sum of distributive (resp. uniserial) modules is called a semidistributive (resp. serial) module. The class of distributive (resp. semidistributive) modules properly cont.ains the class ofall uniserial (resp. serial) modules. In particular, all simple (resp. semisimple) modules are distributive (resp. semidistributive). All strongly regular rings (for example, all factor rings of direct products of division rings and all commutative regular rings) are distributive; all valuation rings in division rings and all commutative Dedekind rings (e.g., rings of integral algebraic numbers or commutative principal ideal rings) are distributive. A module is called a Bezout module or a locally cyclic module ifevery finitely generated submodule is cyclic. If all maximal right ideals of a ring A are ideals (e.g., if A is commutative), then all Bezout A-modules are distributive.
出版日期Book 1998
关键词DEX; Division; Finite; Invariant; Lattice; Morphism; Multiplication; Volume; algebra; endomorphism ring; maxim
版次1
doihttps://doi.org/10.1007/978-94-011-5086-6
isbn_softcover978-94-010-6136-0
isbn_ebook978-94-011-5086-6
copyrightSpringer Science+Business Media Dordrecht 1998
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Askar A. Tuganbaev. It is the last important piece of work he finished before his death. It has enriched in an extraordinarily high degree our knowledge of the history and antiquities of the Majapahit period. Moreover, its dignified and courtly style established the reputation of Old Javanese letters as a literature
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Askar A. Tuganbaev. It is the last important piece of work he finished before his death. It has enriched in an extraordinarily high degree our knowledge of the history and antiquities of the Majapahit period. Moreover, its dignified and courtly style established the reputation of Old Javanese letters as a literature
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Askar A. Tuganbaev. It is the last important piece of work he finished before his death. It has enriched in an extraordinarily high degree our knowledge of the history and antiquities of the Majapahit period. Moreover, its dignified and courtly style established the reputation of Old Javanese letters as a literature
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Askar A. Tuganbaevnd respect. It is the last important piece of work he finished before his death. It has enriched in an extraordinarily high degree our knowledge of the history and antiquities of the Majapahit period. Moreover, its dignified and courtly style established the reputation of Old Javanese letters as a l
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Askar A. Tuganbaev. It is the last important piece of work he finished before his death. It has enriched in an extraordinarily high degree our knowledge of the history and antiquities of the Majapahit period. Moreover, its dignified and courtly style established the reputation of Old Javanese letters as a literature
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