Strongly rectifiable and S-homogeneous modules

• Autorzy: Libuše Tesková
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce the class of strongly rectifiable and S-homogeneous modules. We study basic properties of these modules, of their pure and refined submodules, of Hill's modules and we also prove an extension of the second Prüfer's theorem.

Słowa kluczowe

EN

strongly rectifiable module; S-homogeneous module; pure submodule; refined submodule; pure composite series; Hill's module

Kategorie tematyczne

• 16D70: Structure and classification (except as in ), direct sum decomposition, cancellation
• 13C13: Other special types
• 16D80: Other classes of modules and ideals

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2000
• Tom: 20
• Numer: 1
• Strony: 5-20

Daty

wydano

2000

otrzymano

1997-09-22

poprawiono

1998-07-28

Twórcy

autor

Libuše Tesková

• Department of Mathematics Faculty of Applied Sciences, University of West Bohemia, Univerzitní 22, Cz-30614 Pilsen, Czech Republic

Bibliografia

• [1] K. Benabdallah, A. Bouanane and S. Singh, On sums of uniserial modules, Rocky Mountain J. Math. 20 (1990), 15-29.
• [2] K. Benabdallah and S. Hattab, Modules localement rectifiables et modules rectifiables preprint, Université de Montréal (1985).
• [3] K. Benabdallah and S. Hattab, Rectifiable modules. I, Comment. Math. Univ. St. Paul. 37 (1988), 131-143.
• [4] L. Bican, Kulikov's criterion for modules, J. Reine Angew. Math. 288 (1976), 154-159.
• [5] L. Bican, The structure of primary modules, Acta Univ. Carolin. Math. Phys. 17 (1976) no. 2, 3-12.
• [6] A. Facchini and L. Salce, Uniserial modules, Comm. Algebra 18 (2) (1990), 499-517.
• [7] T.S. Shores, Decomposition of finitely generated modules, Proc. Amer. Math. Soc. 30 (1971), 445-450.
• [8] T.S. Shores, The structure of Loewy modules, J. Reine Angew. Math. 254 (1972), 204-220.

Identyfikatory

DOI

10.7151/dmgaa.1001