Papers

  1. “The Cousin complex for a module over a commutative Noetherian ring”, Math. Zeit., 112 (1969), 340-356.

  2. “Gorenstein modules”, Math. Zeit., 115 (1970), 117-139.

  3. “Local cohomology theory in commutative algebra”, Quart. J. Math. Oxford (2), 21 (1970), 425-434.

  4. “Cousin complex characterisations of two classes of commutative Noetherian rings”, J. London Math. Soc. (2), 3 (1971), 621-624.

  5. “On Gorenstein modules over a complete Cohen-Macaulay local ring”, Quart. J. Math. Oxford (2), 22 (1971), 425-434.

  6. I. G. Macdonald and R. Y. Sharp, “An elementary proof of the non-vanishing of certain local cohomology modules”, Quart. J. Math. Oxford (2), 23 (1972), 197-204.

  7. “Finitely generated modules of finite injective dimension over certain Cohen-Macaulay rings”, Proc. London Math. Soc. (3), 25 (1972), 303-328.

  8. “The Euler characteristic of a finitely generated module of finite injective dimension”, Math. Zeit., 130 (1973), 79-93.

  9. “The Cousin complex and integral extensions of Noetherian domains”, Proc. Camb. Phil. Soc., 73 (1973), 407-415.

  10. “The construction of a module of finite projective dimension from a finitely generated module of finite injective dimension”, Comment. Math. Helvetici, 50 (1975), 15-26.

  11. “A note on Northcott’s work on generalised Koszul complexes and Artinian modules”, Quart. J. Math. Oxford (2), 26 (1975), 19-22.

  12. “Some results on the vanishing of local cohomology modules”, Proc. London Math. Soc. (3), 30 (1975), 177-195.

  13. “Ramification indices and injective modules”, J. London Math. Soc. (2), 11 (1975), 267-275.

  14. “Dualising complexes for commutative Noetherian rings”, Math. Proc. Camb. Phil. Soc., 78 (1975), 369-386.

  15. “The effect on associated prime ideals produced by an extension of the base field”, Math. Scand., 38 (1976), 43-52.

  16. “Secondary representations for injective modules over commutative Noetherian rings”, Proc. Edinburgh Math. Soc., 20 (1976), 143-151.

  17. “Acceptable rings and homomorphic images of Gorenstein rings”, J. Algebra, 44 (1977), 246-261.

  18. “Local cohomology and the Cousin complex for a commutative Noetherian ring”, Math. Zeit., 153 (1977), 19-22.

  19. “The dimension of the tensor product of two field extensions”, Bull. London Math. Soc., 9 (1977), 42-48.

  20. “Simplifications in the theory of tensor products of field extensions”, J. London Math. Soc. (2), 15 (1977), 48-50.

  21. “A note on the dimensions of commutative Noetherian domains”, J. London Math. Soc. (2), 15 (1977), 415-418.

  22. “A commutative Noetherian ring which possesses a dualising complex is acceptable”, Math. Proc. Camb. Phil. Soc., 82 (1977), 197-213.

  23. “On the fibre rings of a formal power series extension”, Quart. J. Math. Oxford (2), 28 (1977), 487-494.

  24. R. Y. Sharp and P. V´amos) “The dimension of the tensor product of a finite number of field extensions”, J. Pure and Applied Algebra, 10 (1977), 249-252.

  25. Janet E. Hall and R. Y. Sharp, “Dualising complexes and flat homomorphisms of commutative Noetherian rings”, Math. Proc. Camb. Phil. Soc., 84 (1978), 37-45.

  26. D. Rees and R. Y. Sharp, “On a theorem of B. Teissier on multiplicities of ideals in local rings”, J. London Math. Soc. (2), 18 (1978), 449-463.

  27. M. H. Bijan-Zadeh and R. Y. Sharp, “On Grothendieck’s local duality theorem”, Math. Proc. Camb. Phil. Soc., 85 (1979), 431-437.

  28. Janet E. Hall and R. Y. Sharp, “Duality for a commutative Noetherian ring which possesses a dualising complex”, Quart. J. Math. Oxford (2), 30 (1979), 283-299.

  29. “Necessary conditions for the existence of dualising complexes in commutative algebra”, Springer Lecture Notes in Math., 740 (1979), 213-229.

  30. “On the attached prime ideals of certain Artinian local cohomology modules”, Proc. Edinburgh Math. Soc., 24 (1981), 9-14.

  31. “Cohen-Macaulay properties for balanced big Cohen-Macaulay modules”, Math. Proc. Camb. Phil. Soc., 90 (1981), 229-238.

  32. R. Y. Sharp and H. Zakeri, “Modules of generalised fractions”, Mathematika, 29 (1982), 32-41.

  33. “A Cousin complex characterisation of balanced big Cohen-Macaulay modules”, Quart. J. Math. Oxford (2), 33 (1982), 471-485.

  34. R. Y. Sharp and H. Zakeri, “Local cohomology and modules of generalised fractions”, Mathemetika, 29 (1982), 296-306.

  35. R. Y. Sharp and H. Zakeri, “Modules of generalised fractions and balanced big Cohen-Macaulay modules”, London Mathematical Society Lecture Notes, 72 (1982), 61-82.

  36. “On the structure of certain exact Cousin complexes”, Marcel Dekker Lecture Notes in Pure and Applied Mathematics, 84 (1983), 275-290.

  37. A. M. Riley, R. Y. Sharp and H. Zakeri, “Cousin complexes and generalised fractions”, Glasgow Math. J., 26 (1985), 51-67.

  38. R. Y. Sharp and H. Zakeri, “Generalised fractions and the monomial conjecture”, J. Algebra, 92 (1985), 380-388.

  39. R. Y. Sharp and P. V´amos, “Baire’s category theorem and prime avoidance in complete local rings”, Archiv der Math., 44 (1985), 243-248.

  40. M. A. Hamieh and R. Y. Sharp, “Krull dimension and generalised fractions”, Proc. Edinburgh Math. Soc., 28 (1985), 349-353.

  41. R. Y. Sharp and M. A. Hamieh, “Lengths of certain generalised fractions”, J. Pure and Applied Algebra, 38 (1985), 323-336.

  42. R. Y. Sharp and H. Zakeri, “Generalised fractions, Buchsbaum modules, and generalised Cohen-Macaulay modules”, Math. Proc. Camb. Phil. Soc., 98 (1985), 429-436.

  43. F. W. Call and R. Y. Sharp, “A short proof of the local Lichtenbaum-Hartshorne Theorem on the vanishing of local cohomology”, Bull. London Math. Soc., 18 (1986), 261-264.

  44. “Asymptotic behaviour of certain sets of attached prime ideals”, J. London Math. Soc. (2), 34 (1986), 212-218.

  45. R. Y. Sharp and A-J. Taherizadeh, “Reductions and integral closures of ideals relative to an Artinian module”, J. London Math. Soc. (2), 37 (1988), 203-218.

  46. “A method for the study of Artinian modules, with an application to asymptotic behaviour”, Springer Mathematical Sciences Research Institute Publications, 15 (1989), 443-465.

  47. “Certain countably generated big Cohen-Macaulay modules are balanced”, Math. Proc. Camb. Phil. Soc., 105 (1989), 73-77.

  48. R. Y. Sharp and M. Yassi, “Generalised fractions and Hughes’ grade-theoretic analogue of the Cousin complex”, Glasgow Math. J., 32 (1990), 173-188.

  49. R. Y. Sharp, Y. Tiraş and M. Yassi), “Integral closures of ideals relative to local cohomology modules over quasi-unmixed local rings”, J. London Math Soc. (2), 42 (1990), 385-392.

  50. H. Ansari Toroghy and R. Y. Sharp, “Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings”, Proc. Edinburgh Math. Soc., 34 (1991), 155-160.

  51. “The Frobenius homomorphism, and local cohomology in regular local rings of positive characteristic”, J. Pure and Applied Algebra, 71 (1991), 313-317.

  52. H. Ansari Toroghy and R. Y. Sharp, “Integral closures of ideals relative to injective modules over commutative Noetherian rings”, Quart. J. Math. Oxford (2), 42 (1991), 393-402.

  53. R. Y. Sharp and Y. Tiraş, “Integral closures of ideals relative to Artinian modules, and exact sequences”, Glasgow Math. J., 34 (1992), 103-107.

  54. “Artinian modules over commutative rings”, Math. Proc. Camb. Phil. Soc., 111 (1992), 25-33.

  55. H. Ansari Toroghy and R. Y. Sharp, “Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings II”, Proc. Edinburgh Math. Soc., 35 (1992), 511-518.

  56. R. Y. Sharp and Y. Tiraş, “Asymptotic behaviour of integral closures of ideals relative to Artinian modules”, J. Algebra, 153 (1992), 262-269.

  57. R. Y. Sharp and Zhongming Tang, “On the structure of Cousin complexes”, J. Math. Kyoto Univ., 33 (1993), 285-297.

  58. C. L. Huneke and R. Y. Sharp, “Bass numbers of local cohomology modules”, Transactions Amer. Math. Soc., 339 (1993), 765-779.

  59. R. Y. Sharp and P. Schenzel, “Cousin complexes and generalised Hughes complexes”, Proc. London Math. Soc. (3), 68 (1994), 499-517.

  60. R. Y. Sharp and M. Tousi, “Comparison of complexes of modules of generalised fractions and generalised Hughes complexes”, Glasgow Math. J., 37 (1995), 55-64.

  61. R. Y. Sharp and M. Tousi, “A characterisation of generalised Hughes complexes”, Math. Proc. Camb. Phil. Soc., 120 (1996), 71-85.

  62. A. K. Kingsbury and R. Y. Sharp, “Asymptotic behaviour of certain sets of prime ideals”, Proc. Amer. Math. Soc., 124 (1996), 1703-1711.

  63. I. H. Denizler and R. Y. Sharp, “Co-Cohen-Macaulay Artinian modules over commutative rings”, Glasgow Math. J., 38 (1996), 359-366.

  64. H. Petzl and R. Y. Sharp, “Comparison of graded and ungraded Cousin complexes”, Proc. Edinburgh Math. Soc., 41 (1998), 289-301.

  65. “Linear growth of primary decompositions of integral closures”, J. Algebra, 207 (1998), 276-284.

  66. “Graded local cohomology and some applications”, Commutative algebra, algebraic geometry and computational methods (Ed. D. Eisenbud). Springer, Berlin, 1999, pp. 123-134.

  67. A. K. Kingsbury and R. Y. Sharp, “Asymptotic behaviour of integral closures of ideals”, Communications in Algebra, 27 (1999), 5939-5949.

  68. “Bass numbers in the graded case, a-invariant formulas, and an analogue of Faltings’ Annihilator Theorem”, J. Algebra, 222 (1999), 246-270.

  69. “Injective modules and linear growth of primary decompositions”, Proc. Amer. Math. Soc., 128 (2000), 717-722.

  70. M. P. Brodmann, C. Rotthaus and R. Y. Sharp, “On annihilators and associated primes of local cohomology modules”, J. Pure and Applied Algebra, 153 (2000), 197-227.

  71. M. H. Dogani Aghcheghloo, R. Enshaei, S. Goto and R. Y. Sharp, “Comparison of multigraded and ungraded Cousin complexes”, Proc. Edinburgh Math. Soc., 44 (2001), 365-378.

  72. M. P. Brodmann and R. Y. Sharp, “On the dimension and multiplicity of local cohomology modules”, Nagoya Math. J., 167 (2002), 217-233.

  73. M. P. Brodmann, M. Katzman and R. Y. Sharp, “Associated primes of graded components of local cohomology modules”, Transactions Amer. Math. Soc., 354 (2002), 4261-4283.

  74. M. Katzman and R. Y. Sharp, “Some properties of top graded local cohomology modules”, J. Algebra, 259 (2003), 599-612.

  75. M. P. Brodmann and R. Y. Sharp, “Geometric domains with specified pseudo-dimensions”, J. Pure and Applied Algebra, 182 (2003), 151-164.

  76. “Convergence of sequences of sets of associated primes”, Proc. Amer. Math. Soc., 131 (2003), 3009-3017.

  77. R. Y. Sharp and N. Nossem, “Ideals in a perfect closure, linear growth of primary decompositions, and tight closure”, Transactions Amer. Math. Soc., 356 (2004), 3687-3720.

  78. M. Katzman and R. Y. Sharp, “Uniform behaviour of the Frobenius closures of ideals generated by regular sequences”, J. Algebra, 295 (2006), 231-246.

  79. “Tight closure test exponents for certain parameter ideals”, Michigan Math. J., 54 (2006), 307-317.

  80. C. Huneke, M. Katzman, R. Y. Sharp and Yongwei Yao, “Frobenius test exponents for parameter ideals in generalised Cohen–Macaulay local rings”, J. Algebra, 305 (2006), 516-539.

  81. “On the Hartshorne–Speiser–Lyubeznik Theorem about Artinian modules with a Frobenius action”, Proc. Amer. Math. Soc., 135 (2007), 665-670.

  82. “Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure”, Transactions Amer. Math. Soc., 359 (2007), 4237-4258.

  83. M. P. Brodmann and R. Y. Sharp, “Supporting degrees of multi-graded local cohomology modules”, J. Algebra, 321 (2009), 450-482.

  84. “Graded annihilators and tight closure test ideals”, J. Algebra, 322 (2009), 3410-3426.

  85. “An excellent F-pure ring of prime characteristic has a big tight closure test element”, Transactions Amer. Math. Soc., 362 (2010), 5455-5481.

  86. R. Y. Sharp and Y. Yoshino, “Right and left modules over the Frobenius skew polynomial ring in the F-finite case”, Math. Proc. Camb. Phil. Soc., 150 (2011), 419-438.

  87. “Big tight closure test elements for some non-reduced excellent rings”, J. Algebra, 349 (2012), 284-316.

Obituaries and biographical memoirs

  1. D. Rees and R. Y. Sharp), “Douglas Geoffrey Northcott, 31 December 1916 – 8 April 2005”, Biographical Memoirs of Fellows of the Royal Society, 53 (2007), 247-263.

  2. “Douglas Geoffrey Northcott, FRS, 1916–2005”, Bull. London Math. Soc., 41 (2009), 164-178.


Published papers list (PDF, 37KB)