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Titlebook: Algebra II Ring Theory; Vol. 2: Ring Theory Carl Faith Book 1976 Springer-Verlag Berlin Heidelberg 1976 Ring.algebra

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發(fā)表于 2025-3-21 18:37:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebra II Ring Theory
期刊簡(jiǎn)稱Vol. 2: Ring Theory
影響因子2023Carl Faith
視頻videohttp://file.papertrans.cn/153/152474/152474.mp4
學(xué)科分類Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Algebra II Ring Theory; Vol. 2: Ring Theory Carl Faith Book 1976 Springer-Verlag Berlin Heidelberg 1976 Ring.algebra
Pindex Book 1976
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沙發(fā)
發(fā)表于 2025-3-21 20:16:42 | 只看該作者
Sigma Cyclic and Serial Rings ring is decomposable into a finite product of Artinian and (semi)prime rings (25.3.5). This is reminiscent of the theorems of Chatters (20.30) for hereditary rings, and Krull-Asano-Goldie 20.37, for principal ideal rings, and, in fact, Robson’s general method (20.35) used to prove these also applies here.
板凳
發(fā)表于 2025-3-22 03:52:31 | 只看該作者
地板
發(fā)表于 2025-3-22 05:55:58 | 只看該作者
Quasinjective Modules and Selfinjective Ringsulo annihilator 19.14A. Over a right Artinian ring, any QI right module is finendo and conversely 19.16. Thus, every faithful quasinjective over a right Artinian ring is injective 19.15, a result which holds for finitely generated faithful modules over commutative rings 19.17.
5#
發(fā)表于 2025-3-22 08:57:38 | 只看該作者
6#
發(fā)表于 2025-3-22 15:15:01 | 只看該作者
7#
發(fā)表于 2025-3-22 18:57:25 | 只看該作者
https://doi.org/10.1007/978-3-322-96680-3rphism .. This notion is dual to that of injective hull, and yet, although each .-module has an injective hull, projective covers of modules may fail to exist. For example, as is shown in this chapter, a necessary condition that every right .-module have a projective cover is that ./rad . be semisimple, and rad . be a nil ideal.
8#
發(fā)表于 2025-3-22 21:56:33 | 只看該作者
Semilocal Rings and the Jacobson Radicalmposition Theorem 18.18; (7) the basic module and ring 18.21–23; (8) the Chinese remainder theorem 18.30–32 and primary decomposable rings 18.36–37; and (9) the characterization 18.47 of rings with semilocal right quorings. (As defined by (I, p. 4.10), . is semilocal if ./rad . is semisimple. Also see 18.10A.)
9#
發(fā)表于 2025-3-23 03:08:46 | 只看該作者
Projective Covers and Perfect Ringsrphism .. This notion is dual to that of injective hull, and yet, although each .-module has an injective hull, projective covers of modules may fail to exist. For example, as is shown in this chapter, a necessary condition that every right .-module have a projective cover is that ./rad . be semisimple, and rad . be a nil ideal.
10#
發(fā)表于 2025-3-23 06:15:06 | 只看該作者
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