[图书][B] Injective modules and injective quotient rings

C Faith - 2019 - books.google.com
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules
Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) …

A note on the fixed subring of an FPF ring

J Clark - Bulletin of the Australian Mathematical Society, 1989 - cambridge.org
An associative ring R with identity is called a left (right) FPF ring if given any finitely
generated faithful left (right) R-module A and any left (right) R-module M then M is the …

Self-injective Von Neumann regular subrings and a theorem of Pere Menal

C Faith - Publicacions matematiques, 1992 - JSTOR
This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR)
rings, especially his work listed in the bibliography on when the tensor product K= A⊗ KB of …

[引用][C] The maximal regular ideal of self-injective and continuous rings splits off

C Faith - Archiv der Mathematik, 1985 - Springer
Introduction. The main result states that the maximal regular ideal M (R) splits off as a ring
direct summand of R when R is a (right and left) continuous ring. In particular, any …

[引用][C] SELF-INJECTIVE VON NEUMANN REGULAR SUBRINGS AND A THEOREM

OFP MENAL