@manual{homalg,
author = {Barakat, Mohamed and Robertz, Daniel},
title = {The homalg package -- Maple},
year = { 2003- 2008},
note = { https://algebra.mathematik.uni-siegen.de/barakat/homalg_in_maple/},
}
@manual{homalg-package,
author = {Barakat, Mohamed},
title = {The homalg package -- GAP4},
note = { https://homalg-project.github.io/homalg_project/homalg/},
year = { 2007- 2010},
}
@manual{homalg-project,
author = {The~homalg~project~authors},
title = {The homalg project},
note = { http://homalg.math.rwth-aachen.de/},
year = { 2003- 2010},
}
@INPROCEEDINGS{BRMTNS,
author = {Barakat, Mohamed and Robertz, Daniel},
title = "{Computing invariants of multidimensional linear systems on an abstract homological level}",
booktitle = "{Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan)}",
year = { 2006},
pages = { 542-- 559}
note = { https://www.algebra.mathematik.uni-siegen.de/barakat/mtns/homalg_mtns06.pdf}
}
@INPROCEEDINGS{BREACA,
author = {Barakat, Mohamed and Robertz, Daniel},
title = "$\mathtt{homalg}$: First steps to an abstract package for homological algebra",
booktitle = "{Proceedings of the X meeting on computational algebra and its applications ({EACA 2006}), Sevilla (Spain)}",
year = { 2006},
pages = { 29-- 32}
note = { https://www.algebra.mathematik.uni-siegen.de/barakat/eaca/homalg_eaca06.pdf}
}
@ article {BR,
AUTHOR = {Barakat, Mohamed and Robertz, Daniel},
TITLE = {homalg -- {A} {M}eta-{P}ackage for {H}omological {A}lgebra},
JOURNAL = {J. Algebra Appl.},
FJOURNAL = { Journal of Algebra and its Applications},
VOLUME = { 7},
YEAR = { 2009},
NUMBER = { 3},
PAGES = { 299-- 317},
ISSN = { 0219- 4988},
MRCLASS = { 16E30 ( 16- 04)},
MRNUMBER = {MR2431811},
note = {arXiv:math.AC/ 0701146}},
}
@ article {BL,
AUTHOR = {Barakat, Mohamed and Lange-Hegermann, Markus},
TITLE = {An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach t o Localization},
journal = {preprint},
year = {2010},
volume = {},
number = {},
pages = {},
month = {},
note = {http://arxiv.org/abs/1003.1943}
}
@article{BRconley,
author = {Barakat, Mohamed and Robertz, Daniel},
title = "{$\mathtt{conley}$ -- computing connection matrices in $\mathsf{Maple}$}",
journal = {},
year = {},
volume = {},
number = {},
pages = {},
month = {},
note = {(\href{http://arxiv.org/abs/math.DS/0701173}{\tt arXiv:math.DS/0701173})},
eprint = {arXiv:math.DS/0701173}},
}
@article{BB,
author = {Barakat, Mohamed and Bremer, Barbara},
title = "{Higher Extension Modules and the Yoneda Product}",
journal = {},
year = {},
volume = {},
number = {},
pages = {},
month = {},
note = {\href{https://arxiv.org/abs/0802.3179}{\texttt{arXiv:math.KT/0802.3179}})},
eprint = {arXiv:math.KT/0802.3179}},
}
@book {ce,
AUTHOR = {Cartan, Henri and Eilenberg, Samuel},
TITLE = {Homological algebra},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {With an appendix by David A. Buchsbaum,
Reprint of the 1956 original},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1999},
PAGES = {xvi+390},
ISBN = {0-691-04991-2},
MRCLASS = {18Gxx (01A75)},
MRNUMBER = {MR1731415 (2000h:18022)},
}
@book {GM,
AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.},
TITLE = {Methods of homological algebra},
SERIES = {Springer Monographs in Mathematics},
EDITION = {2.},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2003},
PAGES = {xx+372},
ISBN = {3-540-43583-2},
MRCLASS = {18-02 (18Exx 18Gxx 55U35)},
MRNUMBER = {MR1950475 (2003m:18001)},
}
@book {HS,
AUTHOR = {Hilton, P. J. and Stammbach, U.},
TITLE = {A course in homological algebra},
SERIES = {Graduate Texts in Mathematics},
VOLUME = {4},
EDITION = {Second},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xii+364},
ISBN = {0-387-94823-6},
MRCLASS = {18-02 (17B56 18Gxx 20J05)},
MRNUMBER = {MR1438546 (97k:18001)},
}
@book {lam,
AUTHOR = {Lam, T. Y.},
TITLE = {Serre's problem on projective modules},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2006},
PAGES = {xxii+401},
ISBN = {978-3-540-23317-6; 3-540-23317-2},
MRCLASS = {13C10},
MRNUMBER = {MR2235330 (2007b:13014)},
MRREVIEWER = {Satyagopal Mandal},
}
@book {ML,
AUTHOR = {Mac Lane, Saunders},
TITLE = {Homology},
SERIES = {Die Grundlehren der mathematischen Wissenschaften, Bd. 114},
PUBLISHER = {Academic Press Inc.},
ADDRESS = {Publishers, New York},
YEAR = {1963},
PAGES = {x+422},
MRCLASS = {18.20},
MRNUMBER = {MR0156879 (28 \#122)},
MRREVIEWER = {D. Buchsbaum},
}
@book {McCRob,
AUTHOR = {McConnell, J. C. and Robson, J. C.},
TITLE = {Noncommutative {N}oetherian rings},
SERIES = {Graduate Studies in Mathematics},
VOLUME = {30},
EDITION = {Revised},
NOTE = {With the cooperation of L. W. Small},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2001},
PAGES = {xx+636},
ISBN = {0-8218-2169-5},
MRCLASS = {16P40 (16-02)},
MRNUMBER = {MR1811901 (2001i:16039)},
}
@book {rot,
AUTHOR = {Rotman, Joseph J.},
TITLE = {An introduction to homological algebra},
SERIES = {Pure and Applied Mathematics},
VOLUME = {85},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xi+376},
ISBN = {0-12-599250-5},
MRCLASS = {18-01 (16A62 18Gxx 20J05)},
MRNUMBER = {MR538169 (80k:18001)},
}
@book {weihom,
AUTHOR = {Weibel, Charles A.},
TITLE = {An introduction to homological algebra},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {38},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {xiv+450},
ISBN = {0-521-43500-5; 0-521-55987-1},
MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)},
MRNUMBER = {MR1269324 (95f:18001)},
MRREVIEWER = {Kenneth A. Brown},
}
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(vorverarbeitet am 2026-11-04)
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*© Formatika GbR, Deutschland
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