Mohamed
Barakat
Daniel
Robertz

# The homalg package -- Maple

2003-2008

http://homalg.math.rwth-aachen.de/maple/

Mohamed
Barakat
Daniel
Robertz

# Computing invariants of multidimensional linear systems on an abstract homological level

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2006), Kyoto (Japan)
2006
542--559

http://homalg.math.rwth-aachen.de/maple/homalg_mtns06.pdf

Mohamed
Barakat
Daniel
Robertz

# \mathtt{homalg}: First steps to an abstract package for homological algebra

Proceedings of the X meeting on computational algebra and its applications (EACA 2006), Sevilla (Spain)
2006
29--32

http://homalg.math.rwth-aachen.de/maple/homalg_eaca06.pdf

Mohamed
Barakat

# The homalg package -- GAP4

2007-2009

http://homalg.math.rwth-aachen.de/index.php/core-packages/homalg-package

The
homalg team

# The homalg project

2003-2009

http://homalg.math.rwth-aachen.de/

Mohamed
Barakat
Daniel
Robertz

# homalg -- A Meta-Package for Homological Algebra

J. Algebra Appl.
2008
7
3
299--317

arXiv:math.AC/0701146

0219-4988
MR2431811
16E30 (16-04)
Journal of Algebra and its Applications
Mohamed
Barakat
Barbara
Bremer

# Higher Extension Modules and the Yoneda Product

submitted (arxiv.org/abs/0802.3179)

arXiv:math.KT/0802.3179
Mohamed
Barakat

# Spectral Filtrations via Generalized Morphisms

arxiv.org/abs/0904.0240

arXiv:math.KT/0904.0240
Henri
Cartan
Samuel
Eilenberg

# Homological algebra

Princeton University Press
1999
Princeton Landmarks in Mathematics

    Princeton, NJ

With an appendix by David A. Buchsbaum, Reprint of the 1956 original

0-691-04991-2
MR1731415 (2000h:18022)
18Gxx (01A75)
xvi+390
Sergei I.
Gelfand
Yuri I.
Manin

# Methods of homological algebra

Springer-Verlag
2003
Springer Monographs in Mathematics

    Berlin

2.
3-540-43583-2
MR1950475 (2003m:18001)
18-02 (18Exx 18Gxx 55U35)
xx+372
P. J.
Hilton
U.
Stammbach

# A course in homological algebra

Springer-Verlag
1997
4
Graduate Texts in Mathematics

    New York

Second
0-387-94823-6
MR1438546 (97k:18001)
18-02 (17B56 18Gxx 20J05)
xii+364
T. Y.
Lam

# Serre's problem on projective modules

Springer-Verlag
2006
Springer Monographs in Mathematics

    Berlin

978-3-540-23317-6; 3-540-23317-2
MR2235330 (2007b:13014)
13C10
Satyagopal Mandal
xxii+401
Saunders
Mac Lane

# Homology

Academic Press Inc.
1963
Die Grundlehren der mathematischen Wissenschaften, Bd. 114

    Publishers, New York

MR0156879 (28 \#122)
18.20
D. Buchsbaum
x+422
J. C.
McConnell
J. C.
Robson

# Noncommutative Noetherian rings

American Mathematical Society
2001
30
Graduate Studies in Mathematics

    Providence, RI

Revised

With the cooperation of L. W. Small

0-8218-2169-5
MR1811901 (2001i:16039)
16P40 (16-02)
xx+636
Joseph J.
Rotman

# An introduction to homological algebra

Academic Press Inc. [Harcourt Brace Jovanovich Publishers]
1979
85
Pure and Applied Mathematics

    New York

0-12-599250-5
MR538169 (80k:18001)
18-01 (16A62 18Gxx 20J05)
xi+376
Hal
Schenck

# Computational algebraic geometry

Cambridge University Press
2003
58
London Mathematical Society Student Texts

    Cambridge

0-521-82964-X; 0-521-53650-2
MR2011360 (2004k:13001)
13-01 (13P99)
Thomas Bayer
xiv+193
Charles A.
Weibel

# An introduction to homological algebra

Cambridge University Press
1994
38
Cambridge Studies in Advanced Mathematics

    Cambridge

0-521-43500-5; 0-521-55987-1
MR1269324 (95f:18001)
18-01 (16-01 17-01 20-01 55Uxx)
Kenneth A. Brown
xiv+450