τ-complemented and τ-supplemented modules

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2006, Vol. 5
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Algebra and Discrete Mathematics, 2006, № 3
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τ-complemented and τ-supplemented modules

Al-Takhman, K. ; Lomp, C. ; Wisbauer, R.

Інший ID: 2000 Mathematics Subject Classification: 16D90, 16E50, 16.E99.

URI: http://dspace.nbuv.gov.ua/handle/123456789/157359

Посилання: τ-complemented and τ-supplemented modules / K. Al-Takhman, C. Lomp, R. Wisbauer // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 1–15. — Бібліогр.: 17 назв. — англ.

Підтримка: This paper was initiated during a visit of K. Al-Takhman at the Heinrich Heine University of D¨usseldorf. He wishes to thank the Department of Mathematics for the hospitality and also the DAAD, German Academic Exchange Service, for the financial support.

Дата: 2006

Завантажень: 185

τ-complemented and τ-supplemented modules

Анотація:

Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.

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