RUS  ENG
Полная версия
ЖУРНАЛЫ // Фундаментальная и прикладная математика

Фундамент. и прикл. матем., 2004, том 10, выпуск 3, страницы 231–244 (Mi fpm770)

Геометрическая регулярность разложений в прямую сумму в некоторых классах модулей
А. Факкини

Список литературы

1. Bergman G. M., “Coproducts and some universal ring constructions”, Trans. Amer. Math. Soc., 200 (1974), 33–88  crossref  mathscinet  zmath
2. Bergman G. M., Dicks W., “Universal derivations and universal ring constructions”, Pacific J. Math., 79 (1978), 293–337  mathscinet
3. Calugareanu G., “Abelian groups with semi-local endomorphism ring”, Comm. Algebra, 30:9 (2002), 4105–4111  crossref  mathscinet  zmath
4. Camps R., Dicks W., “On semi-local rings”, Israel J. Math., 81 (1993), 203–211  crossref  mathscinet  zmath
5. Chouinard L. G., II, “Krull semigroups and divisor class groups”, Canad. J. Math., 33 (1981), 1459–1468  crossref  mathscinet  zmath
6. Facchini A., “Krull–Schmidt fails for serial modules”, Trans. Amer. Math. Soc., 348 (1996), 4561–4575  crossref  mathscinet  zmath
7. Facchini A., Module Theory. Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules, Progress in Math., 167, Birkhäuser, 1998  mathscinet  zmath
8. Facchini A., “Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids”, J. Algebra, 256 (2002), 280–307  crossref  mathscinet  zmath
9. Facchini A., Halter-Koch F., “Projective modules and divisor homomorphisms”, J. Algebra Appl., 2:4 (2003), 435–449  crossref  mathscinet  zmath
10. Facchini A., Herbera D., “$K_0$ of a semilocal ring”, J. Algebra, 225 (2000), 47–69  crossref  mathscinet  zmath
11. Facchini A., Herbera D., “Two results on modules whose endomorphism ring is semilocal”, Algebras Represent. Theory, 2004 (to appear)  mathscinet
12. Facchini A., Herbera D., “Local morphisms and modules with a semilocal endomorphism ring”, 2004 (to appear)
13. Facchini A., Wiegand R., “Direct-sum decompositions of modules with semilocal endomorphism ring”, J. Algebra, 274 (2004), 689–707  crossref  mathscinet  zmath
14. Herbera D., Shamsuddin A., “Modules with semi-local endomorphism ring”, Proc. Amer. Math. Soc., 123 (1995), 3593–3600  crossref  mathscinet  zmath
15. Lady E. L., “Summands of finite rank torsion-free Abelian groups”, J. Algebra, 32 (1974), 51–52  crossref  mathscinet  zmath
16. Prihoda P., “Weak Krull–Schmidt theorem and direct sum decompositions of serial modules of finite Goldie dimension”, J. Algebra, 2004 (to appear)  mathscinet
17. Vasconcelos W., “On finitely generated flat modules”, Trans. Amer. Math. Soc., 138 (1969), 505–512  crossref  mathscinet  zmath
18. Warfield R. B., Jr., “Serial rings and finitely presented modules”, J. Algebra, 37 (1975), 187–222  crossref  mathscinet  zmath
19. Warfield R. B., Jr., “Cancellation of modules and groups and stable range of endomorphism rings”, Pacific J. Math., 91 (1980), 457–485  mathscinet  zmath
20. Wiegand R., “Direct-sum decompositions over local rings”, J. Algebra, 240 (2001), 83–97  crossref  mathscinet  zmath


© МИАН, 2026