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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; Normaliz; SageMath; 4ti2; Lugares; REDUCE; Cinderella; ApCoCoA; Geometer's Sketchpad; GAP; Gfan; PHCpack; polymake; MuPAD; GEX
Referenced in: 644 Publications
This software is also referenced in ORMS.
Further Publications: http://cocoa.dima.unige.it/research/publications.html
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Referenced by 596 Authors

42 Robbiano, Lorenzo
35 Van Tuyl, Adam
28 Bigatti, Anna Maria
27 Conca, Aldo
19 Migliore, Juan Carlos
16 Abbott, John A.
16 Geramita, Anthony Vito
16 Guardo, Elena
16 Kreuzer, Martin
14 Catalisano, Maria Virginia
14 Greuel, Gert-Martin
14 Rossi, Maria Evelina
13 Carlini, Enrico
13 Herzog, Jürgen
13 Pistone, Giovanni
12 Gimigliano, Alessandro
12 Roanes-Lozano, Eugenio
11 Hà, Huy Tài
11 Nagel, Uwe
11 Sáenz de Cabezón Irigaray, Eduardo
10 Botana, Francisco
10 Rapallo, Fabio
10 Wynn, Henry P.
9 Cioffi, Francesca
9 Dimca, Alexandru
9 Shin, Yong Su
9 Valla, Giuseppe
8 Hibi, Takayuki
8 Laita, Luis M.
8 Riccomagno, Eva
8 Rinaldo, Giancarlo
8 Rogantin, Maria Piera
8 Sabadini, Irene
8 Sticlaru, Gabriel
8 Varbaro, Matteo
7 Caboara, Massimo
7 De Negri, Emanuela
7 Favacchio, Giuseppe
7 Francisco, Christopher A.
7 Hernando, Antonio
7 Logar, Alessandro
7 Pfister, Gerhard
7 Torrente, Maria-Laura
7 Villarreal, Rafael Heraclio
7 Zanello, Fabrizio
6 Bernardi, Alessandra
6 Bruns, Winfried
6 Constantinescu, Alexandru
6 Harbourne, Brian
6 Orecchia, Ferruccio
6 Peterson, Chris
6 Recio, Tomas
6 Römer, Tim
6 Sharifan, Leila
5 Boffi, Giandomenico
5 Guida, Margherita
5 Mirò-Roig, Rosa Maria
5 Murai, Satoshi
5 Niesi, Gianfranco
5 Pech, Pavel
5 Sommen, Franciscus
5 Thoma, Apostolos
5 Zhu, Guangjun
4 Barile, Margherita
4 Beltrametti, Mauro C.
4 Bertone, Cristina
4 Charalambous, Hara
4 Chiantini, Luca
4 Crupi, Marilena
4 Domokos, Mátyás
4 Fassino, Claudia
4 Fatabbi, Giuliana
4 Fontana, Roberto
4 Hauenstein, Jonathan D.
4 Idà, Monica
4 Jayanthan, A. V.
4 Jiang, Zhaolin
4 Laita, Laura
4 Lorenzini, Anna
4 Maruri-Aguilar, Hugo
4 Mehta, Dhagash
4 Nanduri, Ramakrishna
4 Nguyen Cong Minh
4 Palezzato, Elisa
4 Perdon, Anna-Maria
4 Puthenpurakal, Tony J.
4 Roanes-Macías, Eugenio
4 Sommese, Andrew John
4 Struppa, Daniele Carlo
4 Vladoiu, Marius
4 Xu, Li
3 Ahn, Jeaman
3 Amata, Luca
3 Bermejo, Isabel
3 Biermann, Jennifer
3 Borna, Keivan
3 Brenner, Holger
3 Buchberger, Bruno
3 Capani, Antonio
3 Cavaliere, Maria Pia
...and 496 more Authors
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Referenced in 183 Serials

50 Journal of Pure and Applied Algebra
50 Journal of Symbolic Computation
46 Journal of Algebra
19 Communications in Algebra
18 Journal of Algebra and its Applications
16 Proceedings of the American Mathematical Society
12 Collectanea Mathematica
11 Transactions of the American Mathematical Society
10 Mathematics and Computers in Simulation
10 Journal of Algebraic Combinatorics
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
5 Acta Mathematica Vietnamica
5 Annals of the Institute of Statistical Mathematics
5 Journal of Statistical Planning and Inference
5 Applicable Algebra in Engineering, Communication and Computing
5 Journal of Commutative Algebra
4 Memoirs of the American Mathematical Society
4 Michigan Mathematical Journal
4 Nagoya Mathematical Journal
4 The Electronic Journal of Combinatorics
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 Journal of Combinatorial Theory. Series A
3 Mathematische Nachrichten
3 Osaka Journal of Mathematics
3 Ricerche di Matematica
3 Advances in Applied 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 Universitext
2 Mathematical Notes
2 Metrika
2 Arkiv för Matematik
2 Mathematics of Computation
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Geometriae Dedicata
2 Journal of Computational and Applied Mathematics
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 International Journal of Algebra and Computation
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 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 Indian Journal of Pure & Applied Mathematics
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 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
1 Journal of Number Theory
1 Kybernetika
1 Mathematische Annalen
...and 83 more Serials
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Referenced in 47 Fields

454 Commutative algebra (13-XX)
220 Algebraic geometry (14-XX)
135 Computer science (68-XX)
91 Combinatorics (05-XX)
47 Statistics (62-XX)
40 Numerical analysis (65-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
20 Convex and discrete geometry (52-XX)
18 Associative rings and algebras (16-XX)
16 Several complex variables and analytic spaces (32-XX)
13 Geometry (51-XX)
12 Biology and other natural sciences (92-XX)
12 Information and communication theory, circuits (94-XX)
11 Number theory (11-XX)
11 Group theory and generalizations (20-XX)
11 Operations research, mathematical programming (90-XX)
9 General and overarching topics; collections (00-XX)
9 Functions of a complex variable (30-XX)
8 Field theory and polynomials (12-XX)
8 Probability theory and stochastic processes (60-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Partial differential equations (35-XX)
6 Mathematical logic and foundations (03-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Algebraic topology (55-XX)
6 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 Mathematics education (97-XX)
3 Approximations and expansions (41-XX)
3 Global analysis, analysis on manifolds (58-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 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)

Referencing Publications by Year