A characterization of extending generalized triangular matrix rings

Mohammadi Rasul; Moussavi Ahmad; Zahiri Masoome

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A characterization of extending generalized triangular matrix rings

机译：延伸广义三角形矩阵环的表征

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摘要

A right module M is extending if every submodule is essential in a direct summand of M. In this note, we obtain a characterization of the right extending generalized triangular matrix rings. This answers a question which was raised in "E. Akalan, G. F. Birkenmeier and A. Tercan, Characterizations of extending modules and ?-extending generalized triangular matrix rings, Comm. Algebra40 (2012) 1069-1085".

机译：如果M的直和中的每个子模都是必要的，则右模M是扩张的。在本文中，我们得到了右扩张广义三角矩阵环的一个刻划。这回答了“E.Akalan，G.F.Birkenmeier和a.Tercan，扩展模和扩展广义三角矩阵环的特征，Comm.Algebra40（2012）1069-1085”中提出的一个问题。

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来源
《Journal of algebra and its applications》 |2021年第2期|共14页
作者
Mohammadi Rasul; Moussavi Ahmad; Zahiri Masoome;
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作者单位

Tarbiat Modares Univ Fac Math Sci Dept Pure Math POB 14115-134 Tehran Iran;

Tarbiat Modares Univ Fac Math Sci Dept Pure Math POB 14115-134 Tehran Iran;

Higher Educ Ctr Eghlid Fac Sci Dept Math Eghlid Iran;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Right extending rings; generalized triangular matrix rings; semicentral idempotents;

机译：右延伸环;广义三角形矩阵;半心肌幂等;

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2. On Jordan Biderivations of Triangular Matrix Rings [J] . Driss AIAT HADJ AHMED 数学研究及应用：英文版 . 2016,第002期
3. Characterizations of Extending and -Extending Generalized Triangular Matrix Rings [J] . Evrim Akalana Gary F. Birkenmeierb* Adnan Tercana Communications in Algebra . 2012,第3期

机译：扩展和扩展的广义三角矩阵环的特征
4. Characterizations of Extending and G-Extending Generalized Triangular Matrix Rings [J] . Akalan E., Birkenmeier G.F., Tercan A. Communications in algebra . 2012,第3期

机译：扩展和G扩展的广义三角矩阵环的表征
5. GENERALIZED BLOCKED TRIANGULAR MATRIX RINGS ASSOCIATED WITH FINITE ABELIAN CENTRALIZER NEAR-RINGS [J] . KIRBY C. SMITH, LEON VAN WYK Proceedings of the Edinburgh Mathematical Society . 1998,第1期

机译：与有限阿贝尔集中器近端环相关的广义块状三角形矩阵环
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7. Quasi-Baer and FI-Extending Generalized Matrix Rings [D] . Davis, Donald D. 2018

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10. GENERALIZED RING STIFFENESS MATRIX FOR RING-STIFFENED SHELLS OF REVOLUTION [R] . George E. Weeks, Joseph E. Walz 1970

机译：旋转加肋壳壳的广义环刚度矩阵

A characterization of extending generalized triangular matrix rings

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