… module, semiprime module and the concept of ascending chain condition (ACC) on annihilators
for an R-module M, … injective modules in σ[M] and the set of minimal primes in M. If M is a …

… Goldie ring, the authors introduce what ascending chain condition on left annihilators means
on a module. A … The main concept of this work is that an R-module M is a Goldie module if M …

… when the Goldie chain conditions transfer from one ring to the other. Results on chain conditions
for … that S modules are Noetherian as R modules exactly when they are Noetherian as S …

… that the module M satisfies the ascending chain condition on essential submodules if and
only if the R hyphen module M … dimension of L and we say that L has finite Goldie dimension . …

… if it satisfies the ascending chain condition (ACC) on left … put in the module-theoretic
setting in [10] defining QI-modules. Here we show when a semiprime Goldie module is a QI-module. …

… 1-critical if S/I is an S-module of infinite length but every proper factor module has finite length.
… AW Goldie, The structure of prime rings under ascending chain conditions, Proc. London …

… of lifting modules and a decomposition of lifting modules with … The structure of lifting modules
with certain chain conditions … of singular and polyform modules in connection with Goldie’s …

… set of minimal prime Goldie ideals of R. This paper gives necessary and sufficient conditions
under which an in~ective module with tho ascending chain condition on annihilators must …

… Goldie dimension of nonsingular modules over hereditary rings. We observe first that when
the Goldie dimension of a projective module … or nonsingular rings with chain condition, Math. …

… condition, then E(A) is a Goldie-ring, ie, it has the ascending chain condition for left annihilators
and finite left Goldie… in module-theory for the last few years since semi-prime Goldie-rings …