LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS

MIGUEL GóMEZ LOZANO; MERCEDES SILES MOLINA

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LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS

机译：交替环的左商环

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摘要

In this paper we develop a Fountain–Gould-like Goldie theory for alternative rings. We characterize alternative rings which are Fountain–Gould left orders in semiprime alternative rings coinciding with their socle, and those which are Fountain–Gould left orders in semiprime artinian alternative rings.

机译：在本文中，我们为替代环开发了一种类似于Fountain-Gould的Goldie理论。我们表征了与原始底端重合的半素替代环中的Fountain-Gould左阶的替代环，以及半素族阿尔替尼替代环中的Fountain-Gould左环的替代环。

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《Journal of algebra and its applications》 |2007年第1期|共32页
作者
MIGUEL GóMEZ LOZANO; MERCEDES SILES MOLINA;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Alternative ring; Fountain–Gould order; ring of quotients; socle;

机译：备用环;喷泉-古尔德阶;商环;底;

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1. LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS [J] . MIGUEL GóMEZ LOZANO, MERCEDES SILES MOLINA Journal of algebra and its applications . 2007,第1期

机译：交替环的左商环
2. Criteria for a ring to have a left Noetherian left quotient ring [J] . Bavula V. V. Journal of pure and applied algebra . 2018,第7期

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3. The classical left regular left quotient ring of a ring and its semisimplicity criteria [J] . Bavula V. V. Journal of algebra and its applications . 2017,第6期

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4. Orders in Artinian rings, Goldie's Theorem and the largest left quotient ring of a ring [C] . V. V. Bavula Maurice Auslander Distinguished Lectures and International Conference . 2016

机译：Artinian Rings的订单，Goldie的定理和戒指最大的左额字圈
5. Dense ideals and maximal quotient rings of incidence algebras. [D] . Kanuni, Muge. 2001

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6. Probing the Role of the Vancomycin E-Ring Aryl Chloride: Selective Divergent Synthesis and Evaluation of Alternatively Substituted E-Ring Analogues [O] . Joseph R. Pinchman, Dale L. Boger -1

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7. Orders in Artinian rings, Goldie's Theorem and the largest left quotient ring of a ring [O] . Bavula, V.V. 2016

机译：artinian戒指订单，Goldie定理和戒指最大的左商圈
8. Rings of Quotients of Commutative Rings. [R] . Uzkov, A. I. 1948

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LEFT QUOTIENT RINGS OF ALTERNATIVE RINGS

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