Book

An introduction to Gröbner bases, 1997, John Wiley \& Sons.

Articles

Ralf Fröberg, Determination of a class of Poincare' series, Math. Scand. 37, 29-39 (1975).

Ralf Fröberg, Some complex constructions with applications to Poincare' series, Springer Lect. Notes in math. 740, 272-284 (1978).

Ralf Fröberg, A study of graded extremal rings and of monomial rings, Math. Scand. 51, 22-34 (1982).

Ralf Fröberg-Dan Laksov, Compressed algebras, Springer Lect. Notes in Math. 1092, 121-151 (1983).

Ralf Fröberg, An inequality for Hilbert series of graded algebras, Math. Scand. 56, 117-144 (1985).

Jörgen Backelin-Ralf Fröberg, Koszul algebras, Veronese subrings, and rings with linear resolutions, Rev. Roum. 30, 85-97 (1985).

Jörgen Backelin-Ralf Fröberg, Poincare' series of short Artinian rings, J. Alg. 96, 495-498 (1985).

Ralf Fröberg, Rings with monomial relations having linear resolutions, J. Pure Appl. Alg. 38, 235-241 (1985).

Ralf Fröberg-Tor Gulliksen-Clas Löfwall, Flat families of local, Artinian algebras with an infinite number of Poincare' series,Algebra, algebraic topology and their interactions (Stockholm, 1983), Lecture Notes in Math. 1183, Springer, Berlin, 1986.

Ralf Fröberg, Connections between a local ring and its associated graded ring, J. Alg. 111, 300-305 (1987).

Ralf Fröberg-Christian Gottlieb-Roland Häggkvist, On numerical semigroups, Semigroup Forum 35, 63-83 (1987).

Ralf Fröberg, A note on the Stanley-Reisner ring of a join and of a suspension, Manusc. Math. 60, 89-91 (1988).

Ralf Fröberg-Christian Gottlieb-Roland Häggkvist, Gorenstein rings as maximal subrings of k[[x]] with fixed conductor, Comm. in Alg. 16, 1621-1625 (1988).

Ralf Fröberg, On Stanley-Reisner rings, Topics in Alg., Banach Center Publ. 26:2, 57-70 (1990).

Göran Björck-Ralf Fröberg, A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic n-roots, J. Symb. Comp. 12, 329-336 (1991).

Jörgen Backelin-Ralf Fröberg, How we proved that there are exactly 924 cyclic 7-roots, Proc. ISSAC-91, ACM Press, 103-111.

Ralf Fröberg-Clas Löfwall, On Hilbert series for commutative and noncommutative graded algebras, J. Pure Appl. Alg. 76, 33-38 (1991).

Ralf Fröberg-Le Hoa, Segre products and Rees algebras of face rings, Comm. in Alg. 20, 3369-3380 (1992).

Ralf Fröberg, A characterization of k-trees, Discrete Math. 104, 307-309 (1992).

Göran Björck-Ralf Fröberg, Methods to divide out certain solutions from systems of algebraic equations, applied to find all cyclic 8-roots, Lect. Notes in Pure and Appl. Math. vol. 156, eds. M. Gyllenberg-L.-E. Persson, Marcel Dekker, pp. 57-70 (1994).

Ralf Fröberg-Joachim Hollman, Hilbert series for ideals generated by generic forms, J. Symb. Comp. 17, 149-157 (1994).

Ralf Fröberg, A note on a paper by Miyazaki, Math. Scand. 77, 17-18 (1994).

Ralf Fröberg, The Frobenius number of some semigroups, Comm. in Alg. 22 (1994), 6021-6024.

Valentina Barucci-Ralf Fröberg, One-dimensional almost Gorenstein rings, J. Alg. 188 (1997), 418-442.

Valentina Barucci-Ralf Fröberg, Maximality properties for one-dimensional analytically irreducible local Gorenstein and Kunz rings, Math. Scand. 81 (1997), 149-160.

Ralf Fröberg-Joachim Hollman, Some comments on a paper by Moreno, Report, Dep. Math, Stockholm Univ.

Valentina Barucci-Marco D'Anna-Ralf Fröberg, The semigroup of values of a one-dimensional local ring with two minimal primes, Comm. Algebra 28 (2000), 3607-3633.

Valentina Barucci-Marco D'Anna-Ralf Fröberg, Analytically unramified one-dimensional semilocal rings and their value semigroups, J. Pure Appl. Algebra 147 (2000), 215-254.

Ralf Fröberg, Koszul algebras, Proc. Fez Conf. 1997, eds. Dobbs, Fontana, Kabbaj, Lect. Notes Pure Appl. Math. 205, Marcel Dekker.

Ralf Fröberg-Jan-Erik Roos, An affine monomial curve with irrational Poincar\'e-Betti series, J. Pure Appl. Algebra 152 (2000), 89-92.

Valentina Barucci-Marco D'Anna-Ralf Fröberg, Normal Hilbert functions of one-dimensional local rings, Comm. Algebra 29 (2001), 333-341.

Valentina Barucci-Ralf Fröberg, On the number of ideals of finite colength, Geometric and combinatorial aspects of commutative algebra (Messina, 1999), 11-19, Lecture Notes in Pure and Appl. Math., 217, Dekker, New York, 2001.

Ralf Fröberg-Clas Löfwall, Koszul homology and Lie algebras with application to generic forms and points, Homology, Homotopy and applications 4, 227-258.

Valentina Barucci-Marco D'Anna-Ralf Fröberg, On plane algebroid curves, in Commutative Ring theory and applications, 37-50, Marcel Dekker 2002.

Valentina Barucci-Marco D'Anna-Ralf Fröberg, Arf characters of an algebroid curve, JP J. of Algebra, Number theory and Applications 3 (2003), 219-243.

Ralf Fröberg-Vincenzo Micale, The Poincare' series of the module of derivations of an affine monomial curve, J. Algebra 280 (2004), 120-131.

Valentina Barucci-Marco D'Anna-Ralf Fröberg, The Apery algorithm for a plane singularity with two branches, Beiträge zu Algebra und Geometrie 46 (2005), 1-18.

Daniela Ferrarello-Ralf Fröberg, The Hilbert series of the clique complex, Graphs and combinatorics 21 (2005), 401-405.

Valentina Barucci-Ralf Fröberg, Associated graded rings of one-dimensional analytically irreducible rings, J. Algebra 304 (2006), 349-358.

Valentina Barucci-Ralf Fröberg, Associated graded rings of one-dimensional analytically irreducible rings II, J. Algebra, to appear.