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FACTOR CATEGORIES AND INFINITE DIRECT SUMS

Year 2009, Volume: 5 Issue: 5, 135 - 168, 01.06.2009

Abstract

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.

Year 2009, Volume: 5 Issue: 5, 135 - 168, 01.06.2009

Abstract

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Details

Other ID JA44BM27DJ
Journal Section Articles
Authors

Alberto Facchini This is me

Pavel Příhoda This is me

Publication Date June 1, 2009
Published in Issue Year 2009 Volume: 5 Issue: 5

Cite

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. June 2009;5(5):135-168.
Chicago Facchini, Alberto, and Pavel Příhoda. “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”. International Electronic Journal of Algebra 5, no. 5 (June 2009): 135-68.
EndNote Facchini A, Příhoda P (June 1, 2009) FACTOR CATEGORIES AND INFINITE DIRECT SUMS. International Electronic Journal of Algebra 5 5 135–168.
IEEE A. Facchini and P. Příhoda, “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”, IEJA, vol. 5, no. 5, pp. 135–168, 2009.
ISNAD Facchini, Alberto - Příhoda, Pavel. “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”. International Electronic Journal of Algebra 5/5 (June 2009), 135-168.
JAMA Facchini A, Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. IEJA. 2009;5:135–168.
MLA Facchini, Alberto and Pavel Příhoda. “FACTOR CATEGORIES AND INFINITE DIRECT SUMS”. International Electronic Journal of Algebra, vol. 5, no. 5, 2009, pp. 135-68.
Vancouver Facchini A, Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. IEJA. 2009;5(5):135-68.