Research

Publications

• M. Hellus, A. Rechenauer, R. Waldi, On the Frobenius number of certain numerical semigroups, Internat. J. Algebra Comput., Vol. 31, No. 03 (2021), 519 - 532
• M. Hellus, A. Rechenauer, R. Waldi, Numerical semigroups generated by primes, Semigroup Forum 101 (2020), 690 – 703
• M. Hellus, Generalization of a connectedness result to cohomologically complete intersections, Proc. Amer. Math. Soc. 148 (2020), no. 1, 33 - 35
• M. Hellus, A. Rechenauer and R. Waldi, Note on a theorem of Eliahou, Semigroup Forum 97 (2018), 64 - 74
• M. Hellus and R. Hübl, A result on Macaulay's curve, Comm. Algebra 44 (2016), no. 2, 479 - 485
• M. Hellus and R. Waldi, Interpolation in affine and projective space over a finite field, J. Commut. Algebra Volume 7, Number 2 (2015), 207-219
• M. Hellus and R. Waldi, On the number of numerical semigroups containing two coprime integers p and q, Semigroup Forum 90 (2015), no. 3, 833 - 842
• M. Hellus and P. Schenzel, Notes on local cohomology and duality, J. Algebra 401 (2014), 48 - 61
• M. Hellus, A note on the vanishing of certain local cohomology modules, Canad. Math. Bull. Vol. 55 (2012), no. 2, 315 – 318
• M. Hellus, On the associated primes of Matlis duals of local cohomology modules II, Comm. Algebra 39 (2011), no. 7, 2615 - 2621
• M. Hellus, L. T. Hoa and J. Stückrad, Castelnuovo-Mumford regularity and reduction number of smooth monomial curves, Proc. Amer. Math. Soc. 138 (2010), no. 1, 27 - 35
• M. Hellus, L. T. Hoa and J. Stückrad, Gröbner bases of simplicial toric ideals, Nagoya Math. J. 196 (2009), 67 - 85
• M. Hellus and J. Stückrad, Artinianness of local cohomology, J. Commut. Algebra 1 (2009), no. 2, 269 - 274
• M. Hellus, and P. Schenzel, On cohomologically complete intersections, J. Algebra 320 (2008), no. 10, 3733 - 3748
• M. Hellus, and J. Stückrad, On endomorphism rings of local cohomology modules, Proc. Amer. Math. Soc. 136 (2008), no. 7, 2333 - 2341
• M. Hellus, A note on the injective dimension of local cohomology modules, Proc. Amer. Math. Soc. 136 (2008), no. 7, 2313 - 2321
• M. Hellus and J. Stückrad, Matlis duals of top Local Cohomology Modules, Proc. Amer. Math. Soc. 136 (2008), no. 2, 489 - 498
• M. Hellus, Local homology, Cohen-Macaulayness and Cohen-Macaulayfications, Algebra Colloq. 15 (2008), no. 1, 63 - 68
• M. Hellus and J. Stückrad, Local cohomology and Matlis duality, Univ. Iagel. Acta Math. No. 45 (2007), 63 - 70
• M. Hellus, Finiteness properties of duals of local cohomology modules, Comm. Algebra 35 (2007), no. 11, 3590 - 3602
• M. Hellus, Attached primes and Matlis duals of local cohomology modules, Arch. Math. (Basel) 89 (2007), no. 3, 202 - 210
• M. Hellus, Matlis duals of top local cohomology modules and the arithmetic rank of an ideal, Comm. Algebra 35 (2007), no. 4, 1421 - 1432
• M. Hellus, Local cohomology and Matlis duality, Habilitationsschrift, Leipzig (2006)
• M. Hellus, On the associated primes of Matlis duals of top local cohomology modules, Comm. Algebra 33 (2005), no. 11, 3997 - 4009
• M. Brodmann and M. Hellus, Cohomological patterns of coherent sheaves over projective schemes, J. Pure Appl. Algebra 172 (2002), no. 2 - 3, 165 - 182
• M. Hellus, On the set of associated primes of a local cohomology module, J. Algebra 237 (2001), no. 1, 406 - 419
• M. Hellus, Lokale Kohomologie, Dissertation, Regensburg (1999)