FACTOR CATEGORIES AND INFINITE DIRECT SUMS

FACTOR CATEGORIES AND INFINITE DIRECT SUMS

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.

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Bibtex @ { ieja266369, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {1710 Sokak, No:41, Batikent/Ankara}, publisher = {Abdullah HARMANCI}, year = {2009}, volume = {5}, number = {5}, pages = {135 - 168}, title = {FACTOR CATEGORIES AND INFINITE DIRECT SUMS}, key = {cite}, author = {Facchini, Alberto and Příhoda, Pavel} }
APA Facchini, A. & Příhoda, P. (2009). FACTOR CATEGORIES AND INFINITE DIRECT SUMS . International Electronic Journal of Algebra , 5 (5) , 135-168 .
MLA Facchini, A. , Příhoda, P. "FACTOR CATEGORIES AND INFINITE DIRECT SUMS" . International Electronic Journal of Algebra 5 (2009 ): 135-168 <
Chicago Facchini, A. , Příhoda, P. "FACTOR CATEGORIES AND INFINITE DIRECT SUMS". International Electronic Journal of Algebra 5 (2009 ): 135-168
RIS TY - JOUR T1 - FACTOR CATEGORIES AND INFINITE DIRECT SUMS AU - AlbertoFacchini, PavelPříhoda Y1 - 2009 PY - 2009 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 135 EP - 168 VL - 5 IS - 5 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2022 ER -
EndNote %0 International Electronic Journal of Algebra FACTOR CATEGORIES AND INFINITE DIRECT SUMS %A Alberto Facchini , Pavel Příhoda %T FACTOR CATEGORIES AND INFINITE DIRECT SUMS %D 2009 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 5 %N 5 %R %U
ISNAD Facchini, Alberto , Příhoda, Pavel . "FACTOR CATEGORIES AND INFINITE DIRECT SUMS". International Electronic Journal of Algebra 5 / 5 (Haziran 2009): 135-168 .
AMA Facchini A. , Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. IEJA. 2009; 5(5): 135-168.
Vancouver Facchini A. , Příhoda P. FACTOR CATEGORIES AND INFINITE DIRECT SUMS. International Electronic Journal of Algebra. 2009; 5(5): 135-168.
IEEE A. Facchini ve P. Příhoda , "FACTOR CATEGORIES AND INFINITE DIRECT SUMS", , c. 5, sayı. 5, ss. 135-168, Haz. 2009