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CoCoA

swMATH ID: 143
Software Authors: CoCoa-Team; Robbiano, Lorenzo
Description: CoCoA is a system for Computations in Commutative Algebra. It is able to perform simple and sophisticated operations on multivaraiate polynomials and on various data related to them (ideals, modules, matrices, rational functions). For example, it can readily compute Grobner bases, syzygies and minimal free resolution, intersection, division, the radical of an ideal, the ideal of zero-dimensional schemes, Poincare’ series and Hilbert functions, factorization of polynomials, toric ideals. The capabilities of CoCoA and the flexibility of its use are further enhanced by the dedicated high-level programming language. For convenience, the system offers a textual interface, an Emacs mode, and a graphical user interface common to most platforms. Computer algebra system (CAS).
Homepage: http://cocoa.dima.unige.it
Keywords: orms; CAS; Computer algebra system
Related Software: Macaulay2; SINGULAR; CoCoALib; Maple; Mathematica; Magma; SageMath; Normaliz; 4ti2; Lugares; REDUCE; ApCoCoA; Cinderella; Gfan; GAP; Geometer's Sketchpad; PHCpack; MuPAD; polymake; Bertini
Cited in: 680 Documents
This software is also referenced in ORMS.
Further Publications: http://cocoa.dima.unige.it/research/publications.html
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Cited by 639 Authors

44 Robbiano, Lorenzo
35 Van Tuyl, Adam
29 Bigatti, Anna Maria
28 Conca, Aldo
19 Migliore, Juan Carlos
17 Abbott, John A.
17 Kreuzer, Martin
16 Geramita, Anthony Vito
16 Guardo, Elena
15 Herzog, Jürgen
14 Catalisano, Maria Virginia
14 Greuel, Gert-Martin
14 Rossi, Maria Evelina
13 Carlini, Enrico
13 Gimigliano, Alessandro
13 Pistone, Giovanni
12 Roanes-Lozano, Eugenio
11 Cioffi, Francesca
11 Hà, Huy Tài
11 Nagel, Uwe
11 Sáenz de Cabezón Irigaray, Eduardo
11 Wynn, Henry P.
10 Botana, Francisco
10 Dimca, Alexandru
10 Rapallo, Fabio
9 Hibi, Takayuki
9 Logar, Alessandro
9 Sabadini, Irene
9 Shin, Yong Su
9 Sticlaru, Gabriel
9 Valla, Giuseppe
8 De Negri, Emanuela
8 Laita, Luis M.
8 Riccomagno, Eva
8 Rinaldo, Giancarlo
8 Rogantin, Maria Piera
8 Varbaro, Matteo
8 Zhu, Guangjun
7 Bruns, Winfried
7 Caboara, Massimo
7 Favacchio, Giuseppe
7 Francisco, Christopher A.
7 Hernando, Antonio
7 Pfister, Gerhard
7 Römer, Tim
7 Torrente, Maria-Laura
7 Villarreal, Rafael Heraclio
7 Zanello, Fabrizio
6 Bernardi, Alessandra
6 Constantinescu, Alexandru
6 Harbourne, Brian
6 Nanduri, Ramakrishna
6 Orecchia, Ferruccio
6 Pech, Pavel
6 Peterson, Chris
6 Recio, Tomas
6 Sharifan, Leila
5 Boffi, Giandomenico
5 García-Marco, Ignacio
5 Guida, Margherita
5 Idà, Monica
5 Maruri-Aguilar, Hugo
5 Mirò-Roig, Rosa Maria
5 Murai, Satoshi
5 Niesi, Gianfranco
5 Puthenpurakal, Tony J.
5 Sommen, Franciscus
5 Struppa, Daniele Carlo
5 Sturmfels, Bernd
5 Thoma, Apostolos
5 Wang, Hong
4 Barile, Margherita
4 Beltrametti, Mauro C.
4 Bertone, Cristina
4 Charalambous, Hara
4 Chiantini, Luca
4 Crupi, Marilena
4 Damiano, Alberto
4 Domokos, Mátyás
4 Fassino, Claudia
4 Fatabbi, Giuliana
4 Fontana, Roberto
4 Gimenez, Philippe
4 Hauenstein, Jonathan D.
4 Jayanthan, A. V.
4 Jiang, Zhaolin
4 Laita, Laura
4 Lorenzini, Anna
4 Mehta, Dhagash
4 Nguyen Cong Minh
4 Palezzato, Elisa
4 Perdon, Anna-Maria
4 Roanes-Macías, Eugenio
4 Sommese, Andrew John
4 Vladoiu, Marius
3 Abdolmaleki, Reza
3 Ahn, Jeaman
3 Amata, Luca
3 Bermejo, Isabel
3 Biermann, Jennifer
...and 539 more Authors
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Cited in 191 Serials

53 Journal of Symbolic Computation
50 Journal of Pure and Applied Algebra
47 Journal of Algebra
21 Communications in Algebra
20 Journal of Algebra and its Applications
16 Proceedings of the American Mathematical Society
12 Collectanea Mathematica
12 Journal of Algebraic Combinatorics
11 Transactions of the American Mathematical Society
10 Mathematics and Computers in Simulation
9 Beiträge zur Algebra und Geometrie
7 Advances in Mathematics
7 Mathematische Zeitschrift
6 Illinois Journal of Mathematics
6 Le Matematiche
6 Linear Algebra and its Applications
6 Applicable Algebra in Engineering, Communication and Computing
6 Journal of Commutative Algebra
5 Acta Mathematica Vietnamica
5 Annals of the Institute of Statistical Mathematics
5 Journal of Statistical Planning and Inference
5 The Electronic Journal of Combinatorics
4 Journal of Computational and Applied Mathematics
4 Memoirs of the American Mathematical Society
4 Michigan Mathematical Journal
4 Nagoya Mathematical Journal
4 Ricerche di Matematica
4 Advances in Applied Mathematics
4 International Journal of Algebra and Computation
4 Lecture Notes in Mathematics
4 Mathematics in Computer Science
4 Journal of Statistical Theory and Practice
3 Applied Mathematics and Computation
3 Archiv der Mathematik
3 Geometriae Dedicata
3 Journal of Combinatorial Theory. Series A
3 Mathematische Nachrichten
3 Osaka Journal of Mathematics
3 Journal of Automated Reasoning
3 SIAM Journal on Discrete Mathematics
3 Experimental Mathematics
3 Journal of High Energy Physics
3 ACM Communications in Computer Algebra
3 São Paulo Journal of Mathematical Sciences
3 Universitext
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Notes
2 Metrika
2 Arkiv för Matematik
2 Mathematics of Computation
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Manuscripta Mathematica
2 Rendiconti del Seminario Matematico della Università di Padova
2 Topology and its Applications
2 European Journal of Combinatorics
2 Systems & Control Letters
2 Annals of Global Analysis and Geometry
2 Forum Mathematicum
2 IMRN. International Mathematics Research Notices
2 Computational Statistics and Data Analysis
2 The Australasian Journal of Combinatorics
2 Algebra Colloquium
2 Mathematical Research Letters
2 Statistica Sinica
2 Annals of Mathematics and Artificial Intelligence
2 Revista Matemática Complutense
2 Portugaliae Mathematica. Nova Série
2 Mathematical Reports
2 Central European Journal of Mathematics
2 Computational Biology and Chemistry
2 Statistical Methods and Applications
2 Lecture Notes in Computer Science
2 London Mathematical Society Lecture Note Series
2 Algebra & Number Theory
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Statistics and Computing
2 Undergraduate Texts in Mathematics
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 International Journal of Control
1 International Journal of Mathematical Education in Science and Technology
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Scandinavian Journal of Statistics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
...and 91 more Serials
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Cited in 48 Fields

476 Commutative algebra (13-XX)
231 Algebraic geometry (14-XX)
144 Computer science (68-XX)
101 Combinatorics (05-XX)
49 Statistics (62-XX)
42 Numerical analysis (65-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
22 Convex and discrete geometry (52-XX)
19 Associative rings and algebras (16-XX)
19 Several complex variables and analytic spaces (32-XX)
15 Information and communication theory, circuits (94-XX)
14 Geometry (51-XX)
13 Group theory and generalizations (20-XX)
13 Biology and other natural sciences (92-XX)
11 Number theory (11-XX)
11 Operations research, mathematical programming (90-XX)
10 Functions of a complex variable (30-XX)
9 General and overarching topics; collections (00-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Field theory and polynomials (12-XX)
8 Probability theory and stochastic processes (60-XX)
7 Partial differential equations (35-XX)
7 Algebraic topology (55-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Mathematical logic and foundations (03-XX)
5 Systems theory; control (93-XX)
4 Real functions (26-XX)
4 Special functions (33-XX)
4 Ordinary differential equations (34-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Mathematics education (97-XX)
3 Approximations and expansions (41-XX)
3 Quantum theory (81-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 \(K\)-theory (19-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 General algebraic systems (08-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)

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