Regular modules

J Zelmanowitz - Transactions of the American Mathematical Society, 1972 - ams.org
endomorphism ring of a regular projective module. In this paper we will identify a class of …
over a prime ring R a regular module with a commutative endomorphism ring is isomorphic to a …

Endomorphism rings of projective modules

R Ware - Transactions of the American Mathematical Society, 1971 - ams.org
Regular endomorphism rings. In this section we investigate the relationship between regular
modules and projective modules having regular endomorphism rings. More specifically we …

Modules whose endomorphism rings are von Neumann regular

G Lee, ST Rizvi, C Roman - Communications in Algebra, 2013 - Taylor & Francis
… indecomposable endoregular modules. We show that a module whose endomorphism ring
is semisimple … endoregular modules. A precise description of indecomposable endoregular …

Modules whose endomorphism rings are unit-regular

X Zhang, G Lee - Communications in Algebra, 2016 - Taylor & Francis
… the notion of unit endoregular modules which generalizes that of unit-regular rings. A
module is called unit endoregular if its endomorphism ring is unit-regular. It is proved that a …

Modules finite over endomorphism ring

PM Cohn, V Dlab, CM Ringel, C Faith, L Fuchs… - … on rings and modules, 1972 - Springer
… We study t-injective modules over a regular ringrings for which the endomorphism
ring of any indecomposable injective right module is a field (see the paper of the author [72]. …

[PDF][PDF] Endomorphism rings of ideals in a commutative regular ring

R Wiegand - Proceedings of the American Mathematical Society, 1969 - ams.org
… that the endomorphism ring of an ideal of R is regular, and that the homological dimension
of an ideal is equal to its homological dimension as a module over its endomorphism ring. …

On endomorphism rings of local cohomology modules

M Hellus, J Stueckrad - Proceedings of the American Mathematical Society, 2008 - ams.org
module $ M $ the canonical ring map $ R\to\mathrm {End} _R (M) $ is in general neither
injective nor surjective; we show that it is bijective for every local cohomology module … a module. …

Endomorphism rings of torsionless modules

AV Jategaonkar - Transactions of the American Mathematical Society, 1971 - ams.org
… of quotients of U, using the common denominator property in A, we can choose a regular
element c in A such that À(XjC) e Ufor l^i^n. Since UA is torsion free, x¡c^0 for all /'. Thus N= 2"= …

[PDF][PDF] Endomorphism rings of torsionless modules

JM Zelmanowitz - Journal of Algebra, 1967 - researchgate.net
… of calling a ring finite dimensional if its left regular representation is finite … modules. It is
however a comparative triviality to give an example of such a module whose endomorphism ring

[PDF][PDF] Endomorphism rings of nonsingular modules

SM Khuri - Ann. Sci. Math. Quebec, 1980 - labmath.uqam.ca
Etant donné un module, RM, à sous-module singulier nul, nous étudions i'anneau d'endomorphismes,
B= EndR (M), de M et les relations entre B et Panneau d'endomorphismes, A= …