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## Fröberg, Ralf

Compute Distance To:
 Author ID: froberg.ralf Published as: Fröberg, Ralf; Fröberg, R.; Froeberg, Ralf
 Documents Indexed: 59 Publications since 1975, including 8 Books Biographic References: 1 Publication
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#### Co-Authors

 20 single-authored 14 Barucci, Valentina 7 D’Anna, Marco 4 Backelin, Jörgen 3 Löfwall, Clas 3 Lundqvist, Samuel 3 Shapiro, Boris Zalmanovich 2 Björck, Göran 2 Boij, Mats 2 Gottlieb, Christian 2 Gulliksen, Tor Holtedahl 2 Häggkvist, Roland 1 Emtander, Eric 1 Ferrarello, Daniela 1 Hollman, Joachim 1 Laksov, Dan 1 Lê Tuâń Hoa 1 Löfwal, C. 1 Micale, Vincenzo 1 Mohammadi, Fatemeh 1 Moradi, Somayeh 1 Oneto, Alessandro 1 Ottaviani, Giorgio Maria 1 Roos, Jan-Erik 1 Şahin, Mesut
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#### Serials

 7 Journal of Algebra 7 Mathematica Scandinavica 6 Communications in Algebra 6 Journal of Pure and Applied Algebra 2 Journal of Symbolic Computation 1 Discrete Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Manuscripta Mathematica 1 Le Matematiche 1 Revista de la Unión Matemática Argentina 1 Semigroup Forum 1 Graphs and Combinatorics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Homology, Homotopy and Applications 1 JP Journal of Algebra, Number Theory and Applications 1 Springer INdAM Series 1 Arnold Mathematical Journal 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
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#### Fields

 50 Commutative algebra (13-XX) 10 Algebraic geometry (14-XX) 7 Algebraic topology (55-XX) 6 Associative rings and algebras (16-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 775 times in 635 Documents Cited by Year
On numerical semigroups. Zbl 0614.10046
Fröberg, R.; Gottlieb, C.; Häggkvist, R.
1987
On Stanley-Reisner rings. Zbl 0741.13006
Fröberg, Ralf
1990
One-dimensional almost Gorenstein rings. Zbl 0874.13018
Barucci, Valentina; Fröberg, Ralf
1997
Koszul algebras, Veronese subrings and rings with linear resolutions. Zbl 0583.16017
Backelin, Jörgen; Fröberg, Ralf
1985
Determination of a class of Poincaré series. Zbl 0318.13027
Fröberg, Ralf
1975
An inequality for Hilbert series of graded algebras. Zbl 0582.13007
Fröberg, Ralf
1985
Koszul algebras. Zbl 0962.13009
Fröberg, R.
1999
A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic $$n$$-roots. Zbl 0751.12001
Björck, Göran; Fröberg, Ralf
1991
Compressed algebras. Zbl 0558.13007
Fröberg, R.; Laksov, D.
1984
Analytically unramified one-dimensional semilocal rings and their value semigroups. Zbl 0963.13021
Barucci, V.; D’Anna, M.; Fröberg, R.
2000
A study of graded extremal rings and of monomial rings. Zbl 0498.13012
Fröberg, Ralf
1982
On free resolutions of some semigroup rings. Zbl 1282.13025
Barucci, Valentina; Fröberg, Ralf; Şahin, Mesut
2014
Associated graded rings of one-dimensional analytically irreducible rings. Zbl 1109.13002
Barucci, V.; Fröberg, R.
2006
An introduction to Gröbner bases. Zbl 0997.13500
Fröberg, Ralf
1997
The Frobenius number of some semigroups. Zbl 0817.20058
Fröberg, Ralf
1994
On the Waring problem for polynomial rings. Zbl 1302.11077
Fröberg, Ralf; Ottaviani, Giorgio; Shapiro, Boris
2012
Rings with monomial relations having linear resolutions. Zbl 0573.13012
Fröberg, Ralf
1985
Hilbert series for ideals generated by generic forms. Zbl 0811.13006
Fröberg, Ralf; Hollman, Joachim
1994
A note on the Stanley-Reisner ring of a join and of a suspension. Zbl 0639.13013
Fröberg, Ralf
1988
How we proved that there are exactly 924 cyclic 7-roots. Zbl 0925.13012
Backelin, Jörgen; Fröberg, Ralf
1991
The semigroup of values of a one-dimensional local ring with two minimal primes. Zbl 0964.13013
Barucci, V.; D’Anna, M.; Fröberg, R.
2000
Poincaré series of short Artinian rings. Zbl 0572.13001
Backelin, Jörgen; Fröberg, Ralf
1985
Connections between a local ring and its associated graded ring. Zbl 0628.13010
Fröberg, Ralf
1987
Koszul homology and Lie algebras with application to generic forms and points. Zbl 1066.13014
Fröberg, R.; Löfwal, C.
2002
Arf characters of an algebroid curve. Zbl 1052.14028
Barucci, V.; D’Anna, M.; Fröberg, R.
2003
On Hilbert series for commutative and noncommutative graded algebras. Zbl 0741.13007
Fröberg, Ralf; Löfwall, Clas
1991
Methods to “divide out” certain solutions from systems of algebraic equations, applied to find all cyclic 8-roots. Zbl 0811.12002
Björck, Göran; Fröberg, Ralf
1994
On plane algebroid curves. Zbl 1080.14519
Barucci, V.; D’Anna, M.; Fröberg, R.
2003
The Apery algorithm for a plane singularity with two branches. Zbl 1076.14032
Barucci, Valentina; D’Anna, Marco; Fröberg, Ralf
2005
Algebraic stories from one and from the other pockets. Zbl 1423.14299
Fröberg, Ralf; Lundqvist, Samuel; Oneto, Alessandro; Shapiro, Boris
2018
An affine monomial curve with irrational Poincaré-Betti series. Zbl 0972.13014
Fröberg, Ralf; Roos, Jan-Erik
2000
Segre products and Rees algebras of face rings. Zbl 0768.13005
Fröberg, Ralf; Lê Tuân Hoa
1992
On Vandermonde varieties. Zbl 1365.11012
Fröberg, Ralf; Shapiro, Boris
2016
The Hilbert series of the clique complex. Zbl 1095.13022
Ferrarello, Daniela; Fröberg, Ralf
2005
Associated graded rings of one-dimensional analytically irreducible rings. II. Zbl 1238.13011
Barucci, Valentina; Fröberg, Ralf
2011
Questions and conjectures on extremal Hilbert series. Zbl 1425.13007
Fröberg, Ralf; Lundqvist, Samuel
2018
Numerical semigroups. Proceedings of the INdAM international meeting on numerical semigroups, IMNS 2018, Cortona, Italy, September 3–7, 2018. Zbl 1446.20006
Barucci, Valentina (ed.); Chapman, Scott (ed.); D’Anna, Marco (ed.); Fröberg, Ralf (ed.)
2020
Maximality properties for one-dimensional analytically irreducible local Gorenstein and Kunz rings. Zbl 0886.13012
Barucci, Valentina; Fröberg, Ralf
1997
On differential operators of numerical semigroup rings. Zbl 1272.13023
Barucci, Valentina; Fröberg, Ralf
2013
Gorenstein rings as maximal subrings of $$k[[X]]$$ with fixed conductor. Zbl 0655.13021
Fröberg, Ralf; Gottlieb, Christian; Häggkvist, Roland
1988
Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections. Zbl 1386.13047
Boij, Mats; Fröberg, Ralf; Lundqvist, Samuel
2018
Poincaré series of some hypergraph algebras. Zbl 1270.13012
2013
Numerical semigroups. Proceedings of the INdAM international meeting on numerical semigroups, IMNS 2018, Cortona, Italy, September 3–7, 2018. Zbl 1446.20006
Barucci, Valentina; Chapman, Scott; D&rsquo;Anna, Marco; Fröberg, Ralf
2020
Algebraic stories from one and from the other pockets. Zbl 1423.14299
Fröberg, Ralf; Lundqvist, Samuel; Oneto, Alessandro; Shapiro, Boris
2018
Questions and conjectures on extremal Hilbert series. Zbl 1425.13007
Fröberg, Ralf; Lundqvist, Samuel
2018
Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections. Zbl 1386.13047
Boij, Mats; Fröberg, Ralf; Lundqvist, Samuel
2018
On Vandermonde varieties. Zbl 1365.11012
Fröberg, Ralf; Shapiro, Boris
2016
On free resolutions of some semigroup rings. Zbl 1282.13025
Barucci, Valentina; Fröberg, Ralf; Şahin, Mesut
2014
On differential operators of numerical semigroup rings. Zbl 1272.13023
Barucci, Valentina; Fröberg, Ralf
2013
Poincaré series of some hypergraph algebras. Zbl 1270.13012
2013
On the Waring problem for polynomial rings. Zbl 1302.11077
Fröberg, Ralf; Ottaviani, Giorgio; Shapiro, Boris
2012
Associated graded rings of one-dimensional analytically irreducible rings. II. Zbl 1238.13011
Barucci, Valentina; Fröberg, Ralf
2011
Associated graded rings of one-dimensional analytically irreducible rings. Zbl 1109.13002
Barucci, V.; Fröberg, R.
2006
The Apery algorithm for a plane singularity with two branches. Zbl 1076.14032
Barucci, Valentina; D&rsquo;Anna, Marco; Fröberg, Ralf
2005
The Hilbert series of the clique complex. Zbl 1095.13022
Ferrarello, Daniela; Fröberg, Ralf
2005
Arf characters of an algebroid curve. Zbl 1052.14028
Barucci, V.; D&rsquo;Anna, M.; Fröberg, R.
2003
On plane algebroid curves. Zbl 1080.14519
Barucci, V.; D&rsquo;Anna, M.; Fröberg, R.
2003
Koszul homology and Lie algebras with application to generic forms and points. Zbl 1066.13014
Fröberg, R.; Löfwal, C.
2002
Analytically unramified one-dimensional semilocal rings and their value semigroups. Zbl 0963.13021
Barucci, V.; D&rsquo;Anna, M.; Fröberg, R.
2000
The semigroup of values of a one-dimensional local ring with two minimal primes. Zbl 0964.13013
Barucci, V.; D&rsquo;Anna, M.; Fröberg, R.
2000
An affine monomial curve with irrational Poincaré-Betti series. Zbl 0972.13014
Fröberg, Ralf; Roos, Jan-Erik
2000
Koszul algebras. Zbl 0962.13009
Fröberg, R.
1999
One-dimensional almost Gorenstein rings. Zbl 0874.13018
Barucci, Valentina; Fröberg, Ralf
1997
An introduction to Gröbner bases. Zbl 0997.13500
Fröberg, Ralf
1997
Maximality properties for one-dimensional analytically irreducible local Gorenstein and Kunz rings. Zbl 0886.13012
Barucci, Valentina; Fröberg, Ralf
1997
The Frobenius number of some semigroups. Zbl 0817.20058
Fröberg, Ralf
1994
Hilbert series for ideals generated by generic forms. Zbl 0811.13006
Fröberg, Ralf; Hollman, Joachim
1994
Methods to “divide out” certain solutions from systems of algebraic equations, applied to find all cyclic 8-roots. Zbl 0811.12002
Björck, Göran; Fröberg, Ralf
1994
Segre products and Rees algebras of face rings. Zbl 0768.13005
Fröberg, Ralf; Lê Tuân Hoa
1992
A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic $$n$$-roots. Zbl 0751.12001
Björck, Göran; Fröberg, Ralf
1991
How we proved that there are exactly 924 cyclic 7-roots. Zbl 0925.13012
Backelin, Jörgen; Fröberg, Ralf
1991
On Hilbert series for commutative and noncommutative graded algebras. Zbl 0741.13007
Fröberg, Ralf; Löfwall, Clas
1991
On Stanley-Reisner rings. Zbl 0741.13006
Fröberg, Ralf
1990
A note on the Stanley-Reisner ring of a join and of a suspension. Zbl 0639.13013
Fröberg, Ralf
1988
Gorenstein rings as maximal subrings of $$k[[X]]$$ with fixed conductor. Zbl 0655.13021
Fröberg, Ralf; Gottlieb, Christian; Häggkvist, Roland
1988
On numerical semigroups. Zbl 0614.10046
Fröberg, R.; Gottlieb, C.; Häggkvist, R.
1987
Connections between a local ring and its associated graded ring. Zbl 0628.13010
Fröberg, Ralf
1987
Koszul algebras, Veronese subrings and rings with linear resolutions. Zbl 0583.16017
Backelin, Jörgen; Fröberg, Ralf
1985
An inequality for Hilbert series of graded algebras. Zbl 0582.13007
Fröberg, Ralf
1985
Rings with monomial relations having linear resolutions. Zbl 0573.13012
Fröberg, Ralf
1985
Poincaré series of short Artinian rings. Zbl 0572.13001
Backelin, Jörgen; Fröberg, Ralf
1985
Compressed algebras. Zbl 0558.13007
Fröberg, R.; Laksov, D.
1984
A study of graded extremal rings and of monomial rings. Zbl 0498.13012
Fröberg, Ralf
1982
Determination of a class of Poincaré series. Zbl 0318.13027
Fröberg, Ralf
1975
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#### Cited by 661 Authors

 28 Rosales, José Carlos 17 García Sánchez, Pedro A. 16 Herzog, Jürgen 15 D’Anna, Marco 15 Fröberg, Ralf 15 Goto, Shiro 13 Hibi, Takayuki 12 Barucci, Valentina 11 Micale, Vincenzo 11 Strazzanti, Francesco 10 Endo, Naoki 9 Branco, Manuel Batista 9 Lundqvist, Samuel 9 Vidal Martins, Renato 9 Villarreal, Rafael Heraclio 8 Matsuoka, Naoyuki 8 Yassemi, Siamak 8 Zaare-Nahandi, Rashid 7 Fel, Leonid G. 7 Herzinger, Kurt 7 Seyed Fakhari, Seyed Amin 7 Yoshida, Ken-ichi 6 Avramov, Luchezar L. 6 Iarrobino, Anthony A. 6 Kustin, Andrew R. 6 Migliore, Juan Carlos 6 Mirò-Roig, Rosa Maria 6 Morales, Marcel 6 Oneto, Alessandro 6 Sammartano, Alessio 6 Yazdan Pour, Ali Akbar 6 Zanello, Fabrizio 6 Zito, Giuseppe 5 Banerjee, Arindam 5 Berger, Roland 5 Bigdeli, Mina 5 Blanco, Víctor 5 Boij, Mats 5 Conca, Aldo 5 Hà, Huy Tài 5 Moradi, Somayeh 5 Nagel, Uwe 5 Nicklasson, Lisa 5 Robles-Pérez, Aureliano M. 5 Şega, Liana M. 5 Suciu, Alexander I. 5 Terai, Naoki 5 Zaare-Nahandi, Rahim 4 Berglund, Alexander 4 Cho, Younghyun 4 D’Alì, Alessio 4 Dao, Hailong 4 Dumitrescu, Olivia 4 Emtander, Eric 4 Faugère, Jean-Charles 4 Feital, Lia 4 Geramita, Anthony Vito 4 Gimenez, Philippe 4 Hashemi, Amir 4 Holcomb, Trae 4 Jafari, Raheleh 4 Karakas, Halil Ibrahim 4 Maugeri, Nicola 4 Mohammadi, Fatemeh 4 Morey, Susan E. 4 Murai, Satoshi 4 Ohsugi, Hidefumi 4 Ojeda Martínez de Castilla, Ignacio 4 Peeva, Irena V. 4 Postinghel, Elisa 4 Römer, Tim 4 Roos, Jan-Erik 4 Şahin, Mesut 4 Shelton, Brad 4 Spirito, Dario 4 Stamate, Dumitru Ioan 4 Tadej, Wojciech 4 Takahashi, Ryo 4 Verschelde, Jan 4 Watanabe, Kei-ichi 4 Welker, Volkmar 3 Anick, David J. 3 Backelin, Jörgen 3 Banica, Teodor 3 Bryant, Lance 3 Carlini, Enrico 3 Eliahou, Shalom 3 Ene, Viviana 3 Engström, Alexander 3 Erey, Nursel 3 García García, Juan Ignacio 3 Geroldinger, Alfred 3 Guerrieri, Lorenzo 3 Haghighi, Hassan 3 Huang, I-Chiau 3 Iyengar, Srikanth B. 3 Khouja, Faten 3 Kumar, Neeraj 3 Maleki, Rasoul Ahangari 3 Mastroeni, Matthew ...and 561 more Authors
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#### Cited in 128 Serials

 106 Journal of Algebra 66 Communications in Algebra 53 Journal of Pure and Applied Algebra 32 Semigroup Forum 27 Proceedings of the American Mathematical Society 18 Journal of Symbolic Computation 16 Journal of Algebra and its Applications 15 Transactions of the American Mathematical Society 15 Journal of Algebraic Combinatorics 14 Journal of Combinatorial Theory. Series A 14 Journal of Commutative Algebra 10 Mathematische Zeitschrift 10 International Journal of Algebra and Computation 7 Advances in Mathematics 7 Linear Algebra and its Applications 6 Manuscripta Mathematica 6 Turkish Journal of Mathematics 5 Discrete Mathematics 5 Collectanea Mathematica 5 Advances in Applied Mathematics 5 Designs, Codes and Cryptography 5 Applicable Algebra in Engineering, Communication and Computing 4 Israel Journal of Mathematics 4 Journal of Mathematical Physics 4 Arkiv för Matematik 4 Mathematica Scandinavica 4 Theoretical Computer Science 4 European Journal of Combinatorics 4 Mediterranean Journal of Mathematics 4 Mathematics in Computer Science 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Czechoslovak Mathematical Journal 3 Journal of Number Theory 3 Mathematische Annalen 3 Michigan Mathematical Journal 3 Forum Mathematicum 3 Algebras and Representation Theory 3 Functional Analysis and Other Mathematics 2 Bulletin of the Australian Mathematical Society 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Compositio Mathematica 2 Computing 2 Geometriae Dedicata 2 Mathematics and Computers in Simulation 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annals of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Number Theory 2 Kyoto Journal of Mathematics 2 Algebraic Combinatorics 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Mathematical Notes 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Topology and its Applications 1 Combinatorica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Complexity 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Discrete Mathematics and Applications 1 Numerical Algorithms 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Applied and Computational Harmonic Analysis 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Advances in Applied Clifford Algebras 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica ...and 28 more Serials
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#### Cited in 40 Fields

 406 Commutative algebra (13-XX) 174 Group theory and generalizations (20-XX) 124 Combinatorics (05-XX) 110 Algebraic geometry (14-XX) 63 Number theory (11-XX) 61 Associative rings and algebras (16-XX) 31 Computer science (68-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 20 Algebraic topology (55-XX) 19 Nonassociative rings and algebras (17-XX) 18 Convex and discrete geometry (52-XX) 18 Numerical analysis (65-XX) 17 Category theory; homological algebra (18-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Field theory and polynomials (12-XX) 10 Quantum theory (81-XX) 9 Information and communication theory, circuits (94-XX) 5 Manifolds and cell complexes (57-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)