When $delta$-semiperfect rings are semiperfect

BÜYÜKAŞIK, Engin; LOMP, Christian

When $delta$-semiperfect rings are semiperfect

Engin BÜYÜKAŞIK, (İzmir Yüksek Teknoloji Enstitüsü, Fen Fakültesi, Matematik Bölümü, İzmir, Türkiye)

Christian LOMP (Department, de Matematica Pura, Univercity do Porto, Poro, Portugal)

Turkish Journal of Mathematics

2 0

Yıl: 2010 Cilt: 34 Sayı: 3 Sayfa Aralığı: 317 - 324 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

When $delta$-semiperfect rings are semiperfect

Öz:

Zhou defined δ -semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are δ -supplemented. Module theoretic version of our results are obtained.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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[3] Anderson, F. W., Fuller, K. R.: Rings and categories of modules. New York. Springer 1992.
[4] Bass, H.: Finitistic dimension and a homological generalization of semiprimary rings. Trans. Amer. Math. Soc. 95, 466–488 (1960).
[5] Kasch, F., Mares, E. A.: Eine Kennzeichnung semi-perfekter Moduln. Nagoya Math. J. 27, 525-529 (1966).
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[8] Zhou, Y.: Generalizations of perfect, semiperfect and semiregular rings. Algebra Colloq. 7(3), 305-318 (2000).

APA	BÜYÜKAŞIK E, LOMP C (2010). When $delta$-semiperfect rings are semiperfect. , 317 - 324.
Chicago	BÜYÜKAŞIK Engin,LOMP Christian When $delta$-semiperfect rings are semiperfect. (2010): 317 - 324.
MLA	BÜYÜKAŞIK Engin,LOMP Christian When $delta$-semiperfect rings are semiperfect. , 2010, ss.317 - 324.
AMA	BÜYÜKAŞIK E,LOMP C When $delta$-semiperfect rings are semiperfect. . 2010; 317 - 324.
Vancouver	BÜYÜKAŞIK E,LOMP C When $delta$-semiperfect rings are semiperfect. . 2010; 317 - 324.
IEEE	BÜYÜKAŞIK E,LOMP C "When $delta$-semiperfect rings are semiperfect." , ss.317 - 324, 2010.
ISNAD	BÜYÜKAŞIK, Engin - LOMP, Christian. "When $delta$-semiperfect rings are semiperfect". (2010), 317-324.

APA	BÜYÜKAŞIK E, LOMP C (2010). When $delta$-semiperfect rings are semiperfect. Turkish Journal of Mathematics, 34(3), 317 - 324.
Chicago	BÜYÜKAŞIK Engin,LOMP Christian When $delta$-semiperfect rings are semiperfect. Turkish Journal of Mathematics 34, no.3 (2010): 317 - 324.
MLA	BÜYÜKAŞIK Engin,LOMP Christian When $delta$-semiperfect rings are semiperfect. Turkish Journal of Mathematics, vol.34, no.3, 2010, ss.317 - 324.
AMA	BÜYÜKAŞIK E,LOMP C When $delta$-semiperfect rings are semiperfect. Turkish Journal of Mathematics. 2010; 34(3): 317 - 324.
Vancouver	BÜYÜKAŞIK E,LOMP C When $delta$-semiperfect rings are semiperfect. Turkish Journal of Mathematics. 2010; 34(3): 317 - 324.
IEEE	BÜYÜKAŞIK E,LOMP C "When $delta$-semiperfect rings are semiperfect." Turkish Journal of Mathematics, 34, ss.317 - 324, 2010.
ISNAD	BÜYÜKAŞIK, Engin - LOMP, Christian. "When $delta$-semiperfect rings are semiperfect". Turkish Journal of Mathematics 34/3 (2010), 317-324.