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FACTOR CATEGORIES AND INFINITE DIRECT SUMS

Yıl 2009, Cilt: 5 Sayı: 5, 135 - 168, 01.06.2009

Öz

We give an improved categorical version of the Weak Krull-Schmidt Theorem for serial modules proved by the second author in [10]. The main improvement consists in the fact that it applies not only to serial modules, but also, more generally, to arbitrary direct summands of serial modules. The technique is based on categorical methods, essentially representing the category add(SUsr) of direct summands of serial modules into factors of the category add(SUsr) modulo suitable ideals, one for each uniserial module of type 1 and two for each uniserial module of type 2. Our categorical technique can be applied to further broader settings.

Yıl 2009, Cilt: 5 Sayı: 5, 135 - 168, 01.06.2009

Öz

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Ayrıntılar

Diğer ID JA44BM27DJ
Bölüm Makaleler
Yazarlar

Alberto Facchini Bu kişi benim

Pavel Příhoda Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 5 Sayı: 5

Kaynak Göster

APA Facchini, A., & Příhoda, P. (2009). FACTOR CATEGORIES AND INFINITE DIRECT SUMS. International Electronic Journal of Algebra, 5(5), 135-168.
AMA Facchini A, Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. IEJA. Haziran 2009;5(5):135-168.
Chicago Facchini, Alberto, ve Pavel Příhoda. “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”. International Electronic Journal of Algebra 5, sy. 5 (Haziran 2009): 135-68.
EndNote Facchini A, Příhoda P (01 Haziran 2009) FACTOR CATEGORIES AND INFINITE DIRECT SUMS. International Electronic Journal of Algebra 5 5 135–168.
IEEE A. Facchini ve P. Příhoda, “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”, IEJA, c. 5, sy. 5, ss. 135–168, 2009.
ISNAD Facchini, Alberto - Příhoda, Pavel. “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”. International Electronic Journal of Algebra 5/5 (Haziran 2009), 135-168.
JAMA Facchini A, Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. IEJA. 2009;5:135–168.
MLA Facchini, Alberto ve Pavel Příhoda. “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”. International Electronic Journal of Algebra, c. 5, sy. 5, 2009, ss. 135-68.
Vancouver Facchini A, Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. IEJA. 2009;5(5):135-68.