- Volume 35 Issue 1
Matlis posed the following question in 1958: if N is a direct summand of a direct sum M of indecomposable injectives, then is N itself a direct sum of indecomposable innjectives\ulcorner It will be proved that the Matlis problem has an affirmative answer when M is a multiplication module, and that a weaker condition then that of M being a multiplication module can be given to module M when M is a countable direct sum of indecomposable injectives.
- Rings and Categories of Moducles F. W. Anderson;K. R. Fuller
- Rings and Categories of Moducles(Second Edition) F. W. Anderson;K. R. Fuller
- On a Problem of Matlis of Krull-Schnidt's Theorem v.7 Z.-Z. Chen
- Algebra II Ring theory C. Faith
- J. Algebra v.5 Direct sum representations of injective modules C. Faith;E. Walker
- An Introduction to Noncommutative Noetherian Rings K. R. Goodearl;R. B. Warfield, Jr.
- Factor categories with applications to direct decomposition of modules M. Harada
- J. Indian Math. Soc.(N.S.) v.35 Problem of Krull-Schmidt-Remak-Azumaya-Matlis U. S. Kahlon
- Pacific J. Math. v.8 Injective modules over Noetherian rinys E. Matlis
- Publ. Math. Debrecen v.6 On algebraically closed modules Z. Papp
- Arch. Math. v.50 Some remarks on multiplication modules P. F. Smith
- Communications in Algebra v.21 Generalizations fo CS-Modules P. F. Smith;A. Tercan
- Injective Modules D. W. Sharpe;P. Vamos
- J. London Math. Soc v.43 The dual of the notion of "Finitely gencrated" P. Vamos
- Pacific J. Math. v.31 Decompositions of injective modules R. B. Warfield, Jr.
- Prco. Japan Acad. v.49 A note on a problem of Matlis K. Yamagata
- Communications in Algebra v.24 On Krull-Schmidt and a Problem of Matlis Hua-Ping Yu