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

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书目名称Algebra II Ring Theory影响因子(影响力)




书目名称Algebra II Ring Theory影响因子(影响力)学科排名




书目名称Algebra II Ring Theory网络公开度




书目名称Algebra II Ring Theory网络公开度学科排名




书目名称Algebra II Ring Theory被引频次




书目名称Algebra II Ring Theory被引频次学科排名




书目名称Algebra II Ring Theory年度引用




书目名称Algebra II Ring Theory年度引用学科排名




书目名称Algebra II Ring Theory读者反馈




书目名称Algebra II Ring Theory读者反馈学科排名

积云

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.

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Cardioplegia

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.

VICT

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纠缠,缠绕

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.

ALT

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.)

持续

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.

Enrage