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Description
| - We show that for an artin algebra A, the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod-A being generated by identity morphisms. As a consequence, we prove the conjecture for domestic standard selfinjective algebras and domestic special biserial algebras. We achieve this by showing that in any Krull-Schmidt category with local d.c.c. on ideals, any idempotent ideal is generated by identity maps and maps from the transfinite radical
- We show that for an artin algebra A, the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod-A being generated by identity morphisms. As a consequence, we prove the conjecture for domestic standard selfinjective algebras and domestic special biserial algebras. We achieve this by showing that in any Krull-Schmidt category with local d.c.c. on ideals, any idempotent ideal is generated by identity maps and maps from the transfinite radical (en)
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Title
| - Telescope conjecture, idempotent ideals, and the transfinite radical
- Telescope conjecture, idempotent ideals, and the transfinite radical (en)
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skos:prefLabel
| - Telescope conjecture, idempotent ideals, and the transfinite radical
- Telescope conjecture, idempotent ideals, and the transfinite radical (en)
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skos:notation
| - RIV/00216208:11320/10:10050501!RIV11-GA0-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GD201/05/H005), Z(MSM0021620839)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/10:10050501
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - radical; transfinite; the; and; ideals,; idempotent; conjecture,; Telescope (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Transactions of the American Mathematical Society
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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