By Patrick J. Fleury (auth.)
Read Online or Download Advances in Non-Commutative Ring Theory: Proceedings of the Twelfth George H. Hudson Symposium Held at Plattsburgh, USA, April 23–25, 1981 PDF
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Fayl skachal s Rapidshare - ne znayu dazhe, kakoe izdanie. No kachestvo prekrasnoe. Ne vidal li kto-to drugie dve knigi teh zhe avtorov? ("Methods of illustration idea with purposes to finite teams and orders vol. 1-2")
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Additional resources for Advances in Non-Commutative Ring Theory: Proceedings of the Twelfth George H. Hudson Symposium Held at Plattsburgh, USA, April 23–25, 1981
Proposition i: A right noetherian, R can be left localized left stable FLBN ring at every prime ideal P. Moreover Rp is a left stable FLBN ring. Proof: By [19, Cor. 12], P is ideal invariant, every left ideal I, K-dim(P/PI) stable, P satisfies ~ K-dim(R/I). e. for Since R is left property. By [23, Prop. 9] 49 R has a left perfect localization at P. [I0, Prop. 13]. Rp is left noetherian Suppose HOmRp(N,H ) = 0 where H is a left injective Rp-module. By [i0, Prop. 61]. is left stable, HomR(E(N),H ) = 0.
A generalization J. , Direct J. , Torsionless sum representations 5 (1967) modules, of 203-221. Tohoku Math. J. 20 (1968) 234-243. , Coherent J. London Math. , Soc. , 20(2) Modules, Bd. 190, modules Bull. (1972) de 115-120. and Categories, Springer-Verlag, reprint New 1981. , Flat and FP-injectivity, (1973). J. 78-86. , 323-329. des Sciences, der Math. , Algebra: Grundlehren [73a] Jain, 187-192. , On the structure L'Academie  Mat. essentially 5 (1970) 2(2) Radical Reine u. Angew. J. Proc.
THEOREM (4). Let then torsion radical. and so and RR for of the equivalence S be ~ r i t a equivalent rings. Let F: classes R-Mod, which implies that has finite length. ~ is R If R has finite reduced S. The proof will make use of the characterization rank given in Theorem i. has only finitely many If the torsion radical ~i is cogenerated n has finite length with respect to ~ = ni=l~ i. ,S n. RR rank (on the left), then so does Proof. R R-Mod is maximal. ,n Then if every prime torsion radical is maximal, each simple module defines a maximal nonisomorphic The then every prime torsion radical is maximal by Conversely, only finitely many maximal by is a left Noethrian ring, then be a ring with finite reduced rank (on the left) such that only if every prime torsion radical of If R this result to certain rings with finite reduced rank.
Advances in Non-Commutative Ring Theory: Proceedings of the Twelfth George H. Hudson Symposium Held at Plattsburgh, USA, April 23–25, 1981 by Patrick J. Fleury (auth.)