mycoreobjectrosdok_document_0000028034rosdok_document_0000028034rosdokdocumentrosdok_derivate_00002299342026-10-21T10:26:58.854Z2026-10-21T07:41:05.353ZMCRJANITOReditorKEpublished1rosdok_derivate_0000229934truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok_id000058961987235355Oau2026-10-212026-10-21T10:26:54ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperCyclically indecomposable triple systems that are decomposableIn this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.MartinGrüttmüller1970 -VerfasserInaut122522559Rolf S.Rees1960 -VerfasserInaut122169727NabilShalabyVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005896urn:nbn:de:gbv:28-rosdok_id00005896-010.18453/rosdok_id00005896510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (21 Seiten)2005University of Rostock, Institute of MathematicsRostockmonographic20052026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005896Martin Grüttmüller, Rolf Rees and Nabil Shalabyrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-805/40005-0004doctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.workingpaperdoctype:epub.workingpaperWorkingpaperworking paperdiniPublType:workingPaper diniPublType2022:WorkingPaperinfo:eu-repo/semantics/workingPaperdocumentdiniPublType2022:WorkingPaperdiniPublType2022:WorkingPaperArbeitspapierWorking paperKDSF (Pu37)SDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.rightsreservedlicenseinfo:work.rightsreservedalle Rechte vorbehaltenall rights reserved/creativecommons/r/reserved/0.9/88x31.png[DE-28]Urheberrechtsschutz 1.0$gRights Statements$uhttp://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsunirostocklicenseinfo:deposit.rightsunirostockRechteinhaber Universität Rostockrightsholder Rostock Universityaccesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2licenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/rfc5646:enrfc5646:enEnglischEnglishengengCyclically indecomposable triple systems that are decomposableCyclically indecomposable triple systems that are decomposablegnd:122522559gnd:122169727gnd:122522559gnd:122169727rosdok_document_0000028034-d3976769e49gnd:122522559Martin GrüttmüllerMartin Grüttmüllerrosdok_document_0000028034-d3976769e63gnd:122169727Rolf S. ReesRolf S. Reesrosdok_document_0000028034-d3976769e77Nabil ShalabyNabil ShalabyMartin GrüttmüllerRolf S. ReesNabil ShalabyMartin GrüttmüllerRolf S. ReesNabil ShalabyMartin GrüttmüllerRolf S. ReesNabil ShalabyRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005896urn:nbn:de:gbv:28-rosdok_id00005896-010.18453/rosdok_id00005896In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.20052005Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-805/40005-0004https://purl.uni-rostock.de/rosdok/id000058163255797-8Martin Grüttmüller, Rolf Rees and Nabil Shalabyepub.workingpaper1 Gruettmueller_cyclically_2005.pdf 183907 0b0dad4d3c390835679d401d04652131 rosdok_id000058961987235355Oau2026-10-212026-10-21T10:26:54ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.14-SNAPSHOT [SCM: "" "" ""] with mode 'DEFAULT'.WorkingpaperCyclically indecomposable triple systems that are decomposableIn this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.MartinGrüttmüller1970 -VerfasserInaut122522559Rolf S.Rees1960 -VerfasserInaut122169727NabilShalabyVerfasserInauthttps://purl.uni-rostock.de/rosdok/id00005896urn:nbn:de:gbv:28-rosdok_id00005896-010.18453/rosdok_id00005896510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenRechteinhaber Universität Rostockfrei zugänglich (Open Access)Lizenz Metadaten: CC0en1 Online-Ressource (21 Seiten)2005University of Rostock, Institute of MathematicsRostockmonographic20052026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005896Martin Grüttmüller, Rolf Rees and Nabil Shalabyrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-805/40005-0004 2026-10-21T07:41:05.353Z 2026-10-21T10:26:58.854Z 2026-10-31T10:26:58.867Z editorKE {"identifier":"rosdok/id00005896","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-10-21T07:41:05.400Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005896-0","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-10-21T07:41:05.423Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005896","type":"purl","additional":"","service":"RosDokPURL","created":"2026-10-21T07:41:05.428Z","registrationStarted":"2026-10-21T10:26:57.417Z"} {"identifier":"10.18453/rosdok_id00005896","type":"doi","additional":"","service":"RosDokDOI","created":"2026-10-21T07:41:05.433Z","registrationStarted":"2026-10-21T10:26:57.149Z","registered":"2026-10-21T10:26:58.852Z"} MCRJANITORfulltextfile/rosdok_document_0000028034/rosdok_derivate_0000229934/Gruettmueller_cyclically_2005.pdfCyclically indecomposable triple systems that are decomposableCyclically indecomposable triple systems that are decomposablegnd:122522559gnd:122169727gnd:122522559gnd:122169727rosdok_document_0000028034-d3976769e49gnd:122522559Martin GrüttmüllerMartin Grüttmüllerrosdok_document_0000028034-d3976769e63gnd:122169727Rolf S. ReesRolf S. Reesrosdok_document_0000028034-d3976769e77Nabil ShalabyNabil ShalabyMartin GrüttmüllerRolf S. ReesNabil ShalabyMartin GrüttmüllerRolf S. ReesNabil ShalabyMartin GrüttmüllerRolf S. ReesNabil ShalabyRostockUniversity of Rostock, Institute of Mathematicsepub.workingpaperhttps://purl.uni-rostock.de/rosdok/id00005896urn:nbn:de:gbv:28-rosdok_id00005896-010.18453/rosdok_id00005896In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.20052005Preprints aus dem Institut für Mathematikrosdok_id000058161986139832Odvhttps://purl.uni-rostock.de/rosdok/id00005816Preprints aus dem Institut für Mathematik3255797-805/40005-0004https://purl.uni-rostock.de/rosdok/id000058163255797-8Martin Grüttmüller, Rolf Rees and Nabil Shalaby[xslt]Saxonrosdok_id00005896https://purl.uni-rostock.de/rosdok/id00005896198723535510.18453/rosdok_id00005896urn:nbn:de:gbv:28-rosdok_id00005896-0Martin Grüttmüller, Rolf S. Rees, Nabil ShalabyGrüttmüller Martin, Rees Rolf S., Shalaby NabilCyclically indecomposable triple systems that are decomposableWorkingpaperworking paperUniversity of Rostock, Institute of Mathematics, 2005In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all…rosdok_id000058160005-000405/4Martin GrüttmüllerRolf S. ReesNabil ShalabyCyclically indecomposable triple systems that are decomposablePreprints aus dem Institut für MathematikUniversitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005896MartinGrüttmüller1970 -VerfasserInaut122522559Rolf S.Rees1960 -VerfasserInaut122169727NabilShalabyVerfasserInaut[purl]https://purl.uni-rostock.de/rosdok/id00005896[urn]urn:nbn:de:gbv:28-rosdok_id00005896-0[doi]10.18453/rosdok_id00005896open_access20052005epoch:21th_centuryrfc5646:endoctype:epub.workingpaperaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published