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

大氣層

DOSE

https://doi.org/10.1007/978-3-322-96680-3map . is superfluous if and only if . ? rad . 18.3. A module . is a . (proj. cov.) of . provided that . is projective and there exists a minimal epimorphism .. This notion is dual to that of injective hull, and yet, although each .-module has an injective hull, projective covers of modules may fail

Entirety

https://doi.org/10.1007/978-3-663-13621-7tely presented left module over a ring . is a direct sum of uniserial modules: this happens iff . is itself such a direct sum both as right and left module, that is, iff . is serial. (See Section 0 for definitions.) In this case, then for any finitely generated submodule . of a finitely generated pr

Priapism

grotto

感激小女

Modules of Finite Length and their Endomorphism Ringsrem 17.7; (4) Fitting’s lemma 17.16; (5) theorems of K?the-Levitzki and Kolchin on putting matrices simultaneously in triangular form 17.19 and 17.30; and (6) nilpotency of nil submonoids of monoids satisfying various chain conditions 17.19–25.

斷言

Semilocal Rings and the Jacobson Radicalcal of a ring; (3) local rings 18.10; (4) semiprimary rings 18.12; (5) the theorem of Hopkins and Levitzki 18.13; (6) the Krull-Schmidt or Unique Decomposition 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; a

llibretto

Quasinjective Modules and Selfinjective Ringsle which is injective modulo annihilator, and every semisimple module, is QI (see 19.2). The QI modules coincide with the class of fully invariant sub-modules of injective modules 19.3. A module which is finitely generated over endomorphism ring is said to be . Any finendo QI module is injective mod

碳水化合物

無(wú)情

Projective Covers and Perfect Ringsmap . is superfluous if and only if . ? rad . 18.3. A module . is a . (proj. cov.) of . provided that . is projective and there exists a minimal epimorphism .. This notion is dual to that of injective hull, and yet, although each .-module has an injective hull, projective covers of modules may fail