The idempotent lifting theorem for almost completely decomposable abelian groups

• Autorzy: A. Mader , C. Vinsonhaler
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 72
• Numer: 2
• Strony: 305-317

Daty

wydano

1997

otrzymano

1996-05-24

Twórcy

autor

A. Mader

• Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822, U.S.A.

autor

C. Vinsonhaler

• Department of Mathematics, U-9, University of Connecticut, Storrs, Connecticut 06269, U.S.A.

Bibliografia

• [AF92] F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Grad. Texts in Math. 13, 2nd ed., Springer, 1992.
• [Arn82] D. M. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, Lecture Notes in Math. 931, Springer, 1982.
• [BM94] E. A. Blagoveshchenskaya and A. Mader, Decompositions of almost completely decomposable groups, in: Contemp. Math. 171, Amer. Math. Soc., 1994, 21-36.
• [FS96] T. Faticoni and P. Schultz, Direct decompositions of acd groups with primary regulating index, in: Abelian Groups and Modules, Proc. 1995 Colorado Springs Conf., Marcel Dekker, 1996.
• [Fuc73] L. Fuchs, Infinite Abelian Groups, Vols. I and II, Academic Press, 1970 and 1973.
• [KM84] K.-J. Krapf and O. Mutzbauer, Classification of almost completely decomposable groups, in: Abelian Groups and Modules, Proc. Udine Conf. 1984, CISM Courses and Lectures 287, Springer, 1984, 151-161.
• [Mad95] A. Mader, Almost completely decomposable torsion-free abelian groups, in: Abelian Groups and Modules, Proc. 1994 Padova Conf., Kluwer, 1995, 343-366.
• [MV94] A. Mader and C. Vinsonhaler, Classifying almost completely decomposable groups, J. Algebra 170 (1994), 754-780.
• [Sch95] P. Schultz, The near endomorphism ring of an almost completely decomposable group, in: Abelian Groups and Modules, Proc. 1994 Padova Conf., Kluwer, 1995, 441-452.