1@manual{homalg, 2author = {Barakat, Mohamed and Robertz, Daniel}, 3title = {The homalg package -- Maple}, 4year = {2003-2008}, 5note = {http://homalg.math.rwth-aachen.de/maple/}, 6} 7 8@INPROCEEDINGS{BRMTNS, 9 author = {Barakat, Mohamed and Robertz, Daniel}, 10 title = "{Computing invariants of multidimensional linear systems on an abstract homological level}", 11 booktitle = "{Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan)}", 12 year = {2006}, 13 pages = {542--559} 14 note = {http://homalg.math.rwth-aachen.de/maple/homalg_mtns06.pdf} 15} 16 17@INPROCEEDINGS{BREACA, 18 author = {Barakat, Mohamed and Robertz, Daniel}, 19 title = "homalg: First steps to an abstract package for homological algebra", 20 booktitle = "{Proceedings of the X meeting on computational algebra and its applications ({EACA 2006}), Sevilla (Spain)}", 21 year = {2006}, 22 pages = {29--32} 23 note = {http://homalg.math.rwth-aachen.de/maple/homalg_eaca06.pdf} 24} 25 26@manual{homalg-package, 27author = {Barakat, Mohamed}, 28title = {The homalg package -- GAP4}, 29note = {http://homalg.math.rwth-aachen.de/index.php/core-packages/homalg-package}, 30year = {2007-2009}, 31} 32 33@manual{homalg-project, 34author = {The~homalg~project~authors}, 35title = {The homalg project}, 36note = {http://homalg.math.rwth-aachen.de/}, 37year = {2003-2010}, 38} 39 40@article {BR, 41 AUTHOR = {Barakat, Mohamed and Robertz, Daniel}, 42 TITLE = {homalg -- {A} {M}eta-{P}ackage for {H}omological {A}lgebra}, 43 JOURNAL = {J. Algebra Appl.}, 44 FJOURNAL = {Journal of Algebra and its Applications}, 45 VOLUME = {7}, 46 YEAR = {2008}, 47 NUMBER = {3}, 48 PAGES = {299--317}, 49 ISSN = {0219-4988}, 50 MRCLASS = {16E30 (16-04)}, 51 MRNUMBER = {MR2431811}, 52 note = {arXiv:math.AC/0701146}}, 53} 54 55@article{BB, 56 author = {Barakat, Mohamed and Bremer, Barbara}, 57 title = "{Higher Extension Modules and the Yoneda Product}", 58 journal = {}, 59 year = {}, 60 volume = {}, 61 number = {}, 62 pages = {}, 63 month = {}, 64 note = {submitted (arxiv.org/abs/0802.3179)}, 65 eprint = {arXiv:math.KT/0802.3179}}, 66} 67 68@article{BaSF, 69 author = {Barakat, Mohamed}, 70 title = "{Spectral Filtrations via Generalized Morphisms}", 71 journal = {}, 72 year = {}, 73 volume = {}, 74 number = {}, 75 pages = {}, 76 month = {}, 77 note = {arxiv.org/abs/0904.0240}, 78 eprint = {arXiv:math.KT/0904.0240} 79} 80 81@article {CQ11, 82 author = {Coquand, Thierry and Quitté, Claude}, 83 affiliation = {Department of Computer Science, Chalmers, University of Göteborg, 412-96 Göteborg, Sweden}, 84 title = {Constructive finite free resolutions}, 85 journal = {manuscripta mathematica}, 86 publisher = {Springer Berlin / Heidelberg}, 87 issn = {0025-2611}, 88 keyword = {Mathematics and Statistics}, 89 pages = {1-15}, 90 url = {http://dx.doi.org/10.1007/s00229-011-0466-5}, 91 doi = {10.1007/s002290110466-5}, 92 year = {2011} 93} 94 95@book {ce, 96 AUTHOR = {Cartan, Henri and Eilenberg, Samuel}, 97 TITLE = {Homological algebra}, 98 SERIES = {Princeton Landmarks in Mathematics}, 99 NOTE = {With an appendix by David A. Buchsbaum, 100 Reprint of the 1956 original}, 101 PUBLISHER = {Princeton University Press}, 102 ADDRESS = {Princeton, NJ}, 103 YEAR = {1999}, 104 PAGES = {xvi+390}, 105 ISBN = {0-691-04991-2}, 106 MRCLASS = {18Gxx (01A75)}, 107 MRNUMBER = {MR1731415 (2000h:18022)}, 108} 109 110@book {GM, 111 AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.}, 112 TITLE = {Methods of homological algebra}, 113 SERIES = {Springer Monographs in Mathematics}, 114 EDITION = {2.}, 115 PUBLISHER = {Springer-Verlag}, 116 ADDRESS = {Berlin}, 117 YEAR = {2003}, 118 PAGES = {xx+372}, 119 ISBN = {3-540-43583-2}, 120 MRCLASS = {18-02 (18Exx 18Gxx 55U35)}, 121 MRNUMBER = {MR1950475 (2003m:18001)}, 122} 123 124@book {HS, 125 AUTHOR = {Hilton, P. J. and Stammbach, U.}, 126 TITLE = {A course in homological algebra}, 127 SERIES = {Graduate Texts in Mathematics}, 128 VOLUME = {4}, 129 EDITION = {Second}, 130 PUBLISHER = {Springer-Verlag}, 131 ADDRESS = {New York}, 132 YEAR = {1997}, 133 PAGES = {xii+364}, 134 ISBN = {0-387-94823-6}, 135 MRCLASS = {18-02 (17B56 18Gxx 20J05)}, 136 MRNUMBER = {MR1438546 (97k:18001)}, 137} 138 139@book {lam, 140 AUTHOR = {Lam, T. Y.}, 141 TITLE = {Serre's problem on projective modules}, 142 SERIES = {Springer Monographs in Mathematics}, 143 PUBLISHER = {Springer-Verlag}, 144 ADDRESS = {Berlin}, 145 YEAR = {2006}, 146 PAGES = {xxii+401}, 147 ISBN = {978-3-540-23317-6; 3-540-23317-2}, 148 MRCLASS = {13C10}, 149 MRNUMBER = {MR2235330 (2007b:13014)}, 150MRREVIEWER = {Satyagopal Mandal}, 151} 152 153@book {ML, 154 AUTHOR = {Mac Lane, Saunders}, 155 TITLE = {Homology}, 156 SERIES = {Die Grundlehren der mathematischen Wissenschaften, Bd. 114}, 157 PUBLISHER = {Academic Press Inc.}, 158 ADDRESS = {Publishers, New York}, 159 YEAR = {1963}, 160 PAGES = {x+422}, 161 MRCLASS = {18.20}, 162 MRNUMBER = {MR0156879 (28 \#122)}, 163MRREVIEWER = {D. Buchsbaum}, 164} 165 166@book {McCRob, 167 AUTHOR = {McConnell, J. C. and Robson, J. C.}, 168 TITLE = {Noncommutative {N}oetherian rings}, 169 SERIES = {Graduate Studies in Mathematics}, 170 VOLUME = {30}, 171 EDITION = {Revised}, 172 NOTE = {With the cooperation of L. W. Small}, 173 PUBLISHER = {American Mathematical Society}, 174 ADDRESS = {Providence, RI}, 175 YEAR = {2001}, 176 PAGES = {xx+636}, 177 ISBN = {0-8218-2169-5}, 178 MRCLASS = {16P40 (16-02)}, 179 MRNUMBER = {MR1811901 (2001i:16039)}, 180} 181 182@book {rot, 183 AUTHOR = {Rotman, Joseph J.}, 184 TITLE = {An introduction to homological algebra}, 185 SERIES = {Pure and Applied Mathematics}, 186 VOLUME = {85}, 187 PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]}, 188 ADDRESS = {New York}, 189 YEAR = {1979}, 190 PAGES = {xi+376}, 191 ISBN = {0-12-599250-5}, 192 MRCLASS = {18-01 (16A62 18Gxx 20J05)}, 193 MRNUMBER = {MR538169 (80k:18001)}, 194} 195 196@book {weihom, 197 AUTHOR = {Weibel, Charles A.}, 198 TITLE = {An introduction to homological algebra}, 199 SERIES = {Cambridge Studies in Advanced Mathematics}, 200 VOLUME = {38}, 201 PUBLISHER = {Cambridge University Press}, 202 ADDRESS = {Cambridge}, 203 YEAR = {1994}, 204 PAGES = {xiv+450}, 205 ISBN = {0-521-43500-5; 0-521-55987-1}, 206 MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)}, 207 MRNUMBER = {MR1269324 (95f:18001)}, 208MRREVIEWER = {Kenneth A. Brown}, 209} 210 211