Extending modules which are direct sums of injective modules and semisimple modules
C Santa-Clara, PF Smith - Communications in Algebra, 1996 - Taylor & Francis
Extending modules which are direct sums of injective modules and semisimple modules Page 1
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …
Essential extensions of a direct sum of simple modules-II
SK Jain, AK Srivastava - Modules and Comodules, 2008 - Springer
Essential Extensions of a Direct Sum of Simple Modules-II Page 1 Modules and Comodules
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …
Rings whose finitely generated modules are extending
D Van Huynh, ST Rizvi, MF Yousif - Journal of Pure and Applied Algebra, 1996 - Elsevier
Rings whose finitely generated modules are extending Page 1 JOURNAL OF PURE AND
Journal of Pure and Applied Algebra 111 (1996) 325-328 APPLIED ALGEBRA Rings whose …
Journal of Pure and Applied Algebra 111 (1996) 325-328 APPLIED ALGEBRA Rings whose …
Extending modules with injective or semisimple summands
C Santa-Clara - Journal of Pure and Applied Algebra, 1998 - Elsevier
We characterize when the direct sum of an extending module and an injective module is
extending and when the direct sum of an extending module with the finite exchange property …
extending and when the direct sum of an extending module with the finite exchange property …
On essential extensions of direct sums of either injective or projective modules
For a ring R, there are classical facts that R is right Noetherian if and only if every direct sum
of injective right R-modules is injective, and R is right Noetherian if and only if every …
of injective right R-modules is injective, and R is right Noetherian if and only if every …
Direct injective modules
C Zhizhong - Acta Mathematica Sinica, 1993 - Springer
Throughout this paper R will denote a ring with idenity element and M a unitary right module
over R. An R-module M is said to be direct injective if and only if given direct summand N of …
over R. An R-module M is said to be direct injective if and only if given direct summand N of …
[PDF][PDF] Note on quasi-injective modules
M Harada - 1965 - projecteuclid.org
Let R be a ring with identity element and M be a unitary left R-module. M is called quasi-
injective if every element in Hom^ Af, M) for any R-module N in M is extened to an element in …
injective if every element in Hom^ Af, M) for any R-module N in M is extened to an element in …
When is a simple ring Noetherian?
D Van Huynh, SK Jain, SR López-Permouth - Journal of algebra, 1996 - Elsevier
A moduleMis known to be a CS-module (or an extending module) if every complement
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …
On modules and rings in which complements are isomorphic to direct summands
Abstract A right R-module M is virtually extending (or CIS) if every complement submodule of
M is isomorphic to a direct summand of M, and M is called a virtually C2-module if every …
M is isomorphic to a direct summand of M, and M is called a virtually C2-module if every …
Direct sums of projective modules as direct summaots of their direct product
H Lenzing - Communications in Algebra, 1976 - Taylor & Francis
Direct sums of projective modules as direct summaots of their direct product Page 1
COMMLTNICATIONS IN ALGEBRA, 4(7), 681-691 (1976) DIRECT SUMS OF PROJECTIVE …
COMMLTNICATIONS IN ALGEBRA, 4(7), 681-691 (1976) DIRECT SUMS OF PROJECTIVE …