Geodesic
On projective modules with a~semilocal endomorphism ring
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2002), pp. 23-29.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2002_8_a3,
     author = {Kh. Lomp and M. F. Nasrutdinov and I. I. Sakhaev},
     title = {On projective modules with a~semilocal endomorphism ring},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {23--29},
     publisher = {mathdoc},
     number = {8},
     year = {2002},
     language = {ru},
     url = {https://geodesic-test.mathdoc.fr/item/IVM_2002_8_a3/}
}
TY  - JOUR
AU  - Kh. Lomp
AU  - M. F. Nasrutdinov
AU  - I. I. Sakhaev
TI  - On projective modules with a~semilocal endomorphism ring
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2002
SP  - 23
EP  - 29
IS  - 8
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/IVM_2002_8_a3/
LA  - ru
ID  - IVM_2002_8_a3
ER  - 
%0 Journal Article
%A Kh. Lomp
%A M. F. Nasrutdinov
%A I. I. Sakhaev
%T On projective modules with a~semilocal endomorphism ring
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2002
%P 23-29
%N 8
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/IVM_2002_8_a3/
%G ru
%F IVM_2002_8_a3
Kh. Lomp; M. F. Nasrutdinov; I. I. Sakhaev. On projective modules with a~semilocal endomorphism ring. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2002), pp. 23-29. https://geodesic-test.mathdoc.fr/item/IVM_2002_8_a3/

[1] Lomp C., “On semilocal modules and rings”, Comm. Algebra, 27:4 (1999), 1921–1935 | DOI | MR | Zbl

[2] Lazard D., “Liberte des gros modules projectifs”, J. Algebra, 31 (1974), 437–451 | DOI | MR | Zbl

[3] Zöschinger H., “Projektive Moduln mit endlich erzeugten Radikalfaktormodul”, Math. Ann., 255 (1981), 199–206 | DOI | MR | Zbl

[4] Sakhaev I. I., “O konechnoi porozhdennosti proektivnykh modulei”, Izv. vuzov. Matematika, 1977, no. 9, 69–79 | Zbl

[5] Sakhaev I. I., “O proektivnosti konechno porozhdennykh ploskikh modulei nad polulokalnymi koltsami”, Matem. zametki, 37:2 (1985), 152–162 | MR | Zbl

[6] Sakhaev I. I., “O gruppe $K_0(AP^0)$ dlya polulokalnykh kolets”, Math. Nachrichten, 130 (1987), 157–175 | DOI | MR | Zbl

[7] Sakhaev I. I., “O $SBI$-koltsakh i gipoteze Lazara”, Math. Nachrichten, 144 (1989), 87–98 | DOI | MR | Zbl

[8] Sakhaev I. I., “O podnyatii konechnoi porozhdennosti proektivnogo modulya po modulyu ego radikala”, Matem. zametki, 49 (1991), 97–108 | MR | Zbl

[9] Sakhaev I. I., “The finite generation of projective modules”, Algebra. Proc. Int. Conf. (Krasnoyarsk, 1993), de Gruyter, Berlin, 1996, 209–216 | MR | Zbl

[10] Gerasimov V. N., Sakhaev I. I., “Kontrprimer k dvum gipotezam o proektivnykh modulyakh”, Sib. matem. zhurn., 25:6 (1984), 855–859 | MR | Zbl

[11] Feis K., Algebra: koltsa, moduli i kategorii, T. 2, Mir, M., 1977, 688 pp.

[12] Sarath B., Varadarajan K., “Dual Goldie dimension, II”, Comm. Algebra, 7 (1979), 1885–1899 | DOI | MR | Zbl

[13] Grezeszcuk P., Puczyłowski E. R., “On Goldie and dual Goldie dimension”, J. Pure and Appl. Algebra, 31 (1984), 47–54 | DOI | MR

[14] Hanna A., Shamsuddin A., “Dual Goldie dimension”, Rendiconti dell' Istitutio di Mathematica dell' Universita di Trieste, 24:1–2 (1992), 25–38 | MR | Zbl

[15] Lomp C., On dual Goldie dimension, Diplomarbeit, Heinrich Heine Universität, Düsseldorf, 1996

[16] Takeuchi T., “On cofinite-dimensional modules”, Hokkaido Math. J., 5 (1976), 1–43 | MR

[17] Takeuchi T., “Coranks of a quasi-projective module and its endomorphism ring”, Glasgow Math. J., 36 (1994), 381–383 | DOI | MR | Zbl

[18] Varadarajan K., “Dual Goldie dimension”, Comm. Algebra, 7 (1979), 565–610 | DOI | MR | Zbl

[19] Herbera D., Shamsuddin A., “Modules with semi-local endomorphism ring”, Proc. Amer. Math. Soc., 123 (1995), 3593–3600 | DOI | MR | Zbl

[20] Kash F., Moduli i koltsa, Mir, M., 1981, 368 pp. | MR

[21] Ware R., “Endomorphism rings of projective modules”, Trans. Amer. Math. Soc., 155 (1971), 233–256 | DOI | MR | Zbl

[22] Cartan H., Eilenberg S., Homological algebra, Princeton Univ. Press, Princeton–New York, 1956 | MR | Zbl

[23] Cohn P. M., Free rings and their relations, 2-nd edition, Academic Press, London, 1985, 588 pp. | MR | Zbl

[24] Cohn P. M., “Inversive localization in Noetherian rings”, Comm. Pure Appl. Math., 26 (1973), 679–691 | DOI | MR

[25] Facchini A., Herbera D., “$K_0$ of a semilocal ring”, J. Algebra, 225 (2000), 47–69 | DOI | MR | Zbl

[26] Sakhaev I. I., “Konechnaya porozhdennost proektivnykh modulei nad nekotorymi koltsami”, Izv. vuzov. Matematika, 1996, no. 10, 63–75 | MR | Zbl

[27] Anderson F. W., Fuller K. R., Rings and categories of modules, 2-nd edition, Springer-Verlag, New York, 1992 | MR