Let R be a ring and M a fixed right R-module. A new characterization of M-flatness is given
by certain linear equations. For a left R-module F such that the canonical map M⊗ RF→ …

Coherent Rings and IF Rings 涓浗绉戝闄㈡暟瀛︿笌绯荤粺绉戝鐮旂┒闄㈡湡鍒婄綉 ISSN
0583-1431銆 CN 11-2039/O1 AMS Home About Editorial Board Instruction Subscription …

Abstract Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of
rings and modules. They provide useful technical tools for studying their structure. We define …

For a fixed given right R-module M, so-called M-flat left R-modules are investigated, which
are flat relative to short exact sequences in the subcategory σ [M] subgenerated by M. The …

On Π- coherence of rings Page 1 Hacettepe Journal of Mathematics and Statistics Volume
46 (5) (2017), 875 – 886 On Π- coherence of rings Zhu Zhanmin∗ Abstract Let n be a fixed …

On adjoint resolutions and dimensions of modules Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

Let R be a left coherent ring, S any ring and RωS an (R, S)-bimodule. Suppose ωS has an
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …