4 papers
On the construction of Cohn's universal localization
John A Beachy
For an associative ring we investigate a construction of Cohn's universal ring of fractions defined relative to a multiplicative set of matrices. The construction avoids the Ore co…
Reduced rank in
John A. Beachy, Mauricio Medina-Bárcenas
Using the concept of prime submodule introduced by Raggi et.al. we extend the notion of reduced rank to the module-theoretic context of . We study the quotient category of $σ…
The nilpotency of the prime radical of a Goldie module
John A. Beachy, Mauricio Medina-Bárcenas
With the notion of prime submodule defined by F. Raggi et.al. we prove that the intersection of all prime submodules of a Goldie module , is a nilpotent submodule provided that…
Prime M-Ideals, M-Prime Submodules, M-Prime Radical and M-Baer's Lower Nilradical of Modules
John A. Beachy, Mahmood Behboodi, Faezeh Yazdi
Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime (resp. M-semiprime) submodule of X such that in the case M=R, which coincides with prime (…