大气层
发表于 2025-3-26 21:59:40
http://reply.papertrans.cn/16/1525/152474/152474_31.png
DOSE
发表于 2025-3-27 04:18:55
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
发表于 2025-3-27 06:02:26
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
发表于 2025-3-27 12:27:31
http://reply.papertrans.cn/16/1525/152474/152474_34.png
grotto
发表于 2025-3-27 17:10:45
http://reply.papertrans.cn/16/1525/152474/152474_35.png
感激小女
发表于 2025-3-27 19:26:36
Modules of Finite Length and their Endomorphism Ringsrem 17.7; (4) Fitting’s lemma 17.16; (5) theorems of Köthe-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.
断言
发表于 2025-3-28 00:51:58
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
发表于 2025-3-28 04:26:41
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
发表于 2025-3-28 09:31:26
http://reply.papertrans.cn/16/1525/152474/152474_39.png
无情
发表于 2025-3-28 11:34:39
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