Titlebook: Ring and Module Theory; Toma Albu,Gary F. Birkenmeier,Adnan Tercan Conference proceedings 2010 Birkhäuser Basel 2010 algebra.commutative a

涂掉

A Generalization of Homological Dimensions,projective modules for any non-negative integers . and any Wakamatsu tilting module ., and then give some of their characterizations. In particular, for a tilting module . which satisfies an F.S. condition such that Add . is closed under submodules, we show that if . belongs to Prod ., then submodul

paradigm

Additive Rank Functions and Chain Conditions,e mean a mapping ρ from mod-. to the set ℕ of non-negative integers such that, for every exact sequence 0 → . → . → . → 0 in mod-., we have ρ(.)=ρ(.)+ρ(.). In this note we exhibit a relationship between additive rank functions on mod-. and ascending chain conditions of a certain type. Specifically,

Cursory

,A Note on (α, β)-higher Derivations and their Extensions to Modules of Quotients,gher derivation and demonstrate that a filter of a hereditary torsion theory that is invariant for α and β is (α, β)-higher derivation invariant. As a consequence, any higher derivation can be extended from a module to its module of quotients. Then, we show that any higher derivation extended to a m

faucet

2297-0215 ory/survey articles from world renowned experts in ring theoThis volume features a collection of 13 peer-reviewed contributions consisting of expository/survey articles and research papers by 24 authors. Many of theses contributions were presented at the International Conference on Ring and Module T

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