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 = "$\mathtt{homalg}$: 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 = {2007-2010}, 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@book {ce, 82 AUTHOR = {Cartan, Henri and Eilenberg, Samuel}, 83 TITLE = {Homological algebra}, 84 SERIES = {Princeton Landmarks in Mathematics}, 85 NOTE = {With an appendix by David A. Buchsbaum, 86 Reprint of the 1956 original}, 87 PUBLISHER = {Princeton University Press}, 88 ADDRESS = {Princeton, NJ}, 89 YEAR = {1999}, 90 PAGES = {xvi+390}, 91 ISBN = {0-691-04991-2}, 92 MRCLASS = {18Gxx (01A75)}, 93 MRNUMBER = {MR1731415 (2000h:18022)}, 94} 95 96@book {GM, 97 AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.}, 98 TITLE = {Methods of homological algebra}, 99 SERIES = {Springer Monographs in Mathematics}, 100 EDITION = {2.}, 101 PUBLISHER = {Springer-Verlag}, 102 ADDRESS = {Berlin}, 103 YEAR = {2003}, 104 PAGES = {xx+372}, 105 ISBN = {3-540-43583-2}, 106 MRCLASS = {18-02 (18Exx 18Gxx 55U35)}, 107 MRNUMBER = {MR1950475 (2003m:18001)}, 108} 109 110@book {HS, 111 AUTHOR = {Hilton, P. J. and Stammbach, U.}, 112 TITLE = {A course in homological algebra}, 113 SERIES = {Graduate Texts in Mathematics}, 114 VOLUME = {4}, 115 EDITION = {Second}, 116 PUBLISHER = {Springer-Verlag}, 117 ADDRESS = {New York}, 118 YEAR = {1997}, 119 PAGES = {xii+364}, 120 ISBN = {0-387-94823-6}, 121 MRCLASS = {18-02 (17B56 18Gxx 20J05)}, 122 MRNUMBER = {MR1438546 (97k:18001)}, 123} 124 125@book {lam, 126 AUTHOR = {Lam, T. Y.}, 127 TITLE = {Serre's problem on projective modules}, 128 SERIES = {Springer Monographs in Mathematics}, 129 PUBLISHER = {Springer-Verlag}, 130 ADDRESS = {Berlin}, 131 YEAR = {2006}, 132 PAGES = {xxii+401}, 133 ISBN = {978-3-540-23317-6; 3-540-23317-2}, 134 MRCLASS = {13C10}, 135 MRNUMBER = {MR2235330 (2007b:13014)}, 136MRREVIEWER = {Satyagopal Mandal}, 137} 138 139@book {ML, 140 AUTHOR = {Mac Lane, Saunders}, 141 TITLE = {Homology}, 142 SERIES = {Die Grundlehren der mathematischen Wissenschaften, Bd. 114}, 143 PUBLISHER = {Academic Press Inc.}, 144 ADDRESS = {Publishers, New York}, 145 YEAR = {1963}, 146 PAGES = {x+422}, 147 MRCLASS = {18.20}, 148 MRNUMBER = {MR0156879 (28 \#122)}, 149MRREVIEWER = {D. Buchsbaum}, 150} 151 152@book {McCRob, 153 AUTHOR = {McConnell, J. C. and Robson, J. C.}, 154 TITLE = {Noncommutative {N}oetherian rings}, 155 SERIES = {Graduate Studies in Mathematics}, 156 VOLUME = {30}, 157 EDITION = {Revised}, 158 NOTE = {With the cooperation of L. W. Small}, 159 PUBLISHER = {American Mathematical Society}, 160 ADDRESS = {Providence, RI}, 161 YEAR = {2001}, 162 PAGES = {xx+636}, 163 ISBN = {0-8218-2169-5}, 164 MRCLASS = {16P40 (16-02)}, 165 MRNUMBER = {MR1811901 (2001i:16039)}, 166} 167 168@book {rot, 169 AUTHOR = {Rotman, Joseph J.}, 170 TITLE = {An introduction to homological algebra}, 171 SERIES = {Pure and Applied Mathematics}, 172 VOLUME = {85}, 173 PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]}, 174 ADDRESS = {New York}, 175 YEAR = {1979}, 176 PAGES = {xi+376}, 177 ISBN = {0-12-599250-5}, 178 MRCLASS = {18-01 (16A62 18Gxx 20J05)}, 179 MRNUMBER = {MR538169 (80k:18001)}, 180} 181 182@book {Sch, 183 AUTHOR = {Schenck, Hal}, 184 TITLE = {Computational algebraic geometry}, 185 SERIES = {London Mathematical Society Student Texts}, 186 VOLUME = {58}, 187 PUBLISHER = {Cambridge University Press}, 188 ADDRESS = {Cambridge}, 189 YEAR = {2003}, 190 PAGES = {xiv+193}, 191 ISBN = {0-521-82964-X; 0-521-53650-2}, 192 MRCLASS = {13-01 (13P99)}, 193 MRNUMBER = {MR2011360 (2004k:13001)}, 194MRREVIEWER = {Thomas Bayer}, 195} 196 197@book {weihom, 198 AUTHOR = {Weibel, Charles A.}, 199 TITLE = {An introduction to homological algebra}, 200 SERIES = {Cambridge Studies in Advanced Mathematics}, 201 VOLUME = {38}, 202 PUBLISHER = {Cambridge University Press}, 203 ADDRESS = {Cambridge}, 204 YEAR = {1994}, 205 PAGES = {xiv+450}, 206 ISBN = {0-521-43500-5; 0-521-55987-1}, 207 MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)}, 208 MRNUMBER = {MR1269324 (95f:18001)}, 209MRREVIEWER = {Kenneth A. Brown}, 210} 211 212