Publications

Books

    Serial rings, Kluwer, 2001
    (with A.A. Tuganbaev) Rings and Modules, Soyuz, 1998

Papers

  1. (with N. Dubrovin and P.Prihoda) Projective modules over the Gerasimov-Sakhaev counterexample , J. Algebra, 319(2008), 3259-3279. ( pdf)
  2. How to construct a `concrete' superdecomposable pure-injective module over a string algebra , J. Pure Appl. Algebra, 212 (2008), 704-717. ( pdf)
  3. (with N. Dubrovin) Classifying projective modules over some semilocal rings , Algebra Appl., 6 (2007),1-27. ( pdf)
  4. (with W. McGovern and Ph. Rothmaler) When every projective module is a direct sum of finitely generated modules J. Algebra, 315 (2007), 454-481. ( pdf)
  5. (with M. Hovey and K. Lockridge) The generating hypothesis in the derived category of a ring , Math. Zeit., 256 (2007), 789-900. ( pdf)
  6. Band conbinatorics of domestic string algebras , Colloq. Math., 108 (2007), 285-296. ( pdf)
  7. (with V. Puninskaya and C. Toffalori) Decidability of the theory of modules over commutative valuation domains , Annals Pure Appl. Logic, 145 (2007), 258-275. ( pdf)
  8. (with P. Linnell and P. Smith) Idempotent ideals and non-finitely generated modules over integral group rings of polycyclic-by-finite groups , J. Algebra, 305 (2006), 845-858. ( pdf)
  9. (with M. Prest) Krull-Gabriel dimension of 1-domestic string algebras , Algebr. Repres. Theory, 9 (2006), 337-358. ( pdf)
  10. (with V. Puninskaya and C. Toffalori) Superdecomposable pure-injective modules over integral group rings , J. London Math. Soc. (2), 73 (2006), 48-64. ( pdf)
  11. (with Ph. Rothmaler) Pure-projective modules , J. London Math. Soc. (2), 71 (2005), 304-320. ( pdf)
  12. (with M. Prest) One-directed indecomposable pure injective modules over string algebras , Colloq. Math., 101 (2004), 89-112. ( pdf)
  13. (with Ph. Rothmaler) When every finitely generated flat module is projective , J. Algebra, 277 (2004), 542-558. ( pdf)
  14. When a super decomposable pure injective module over a serial ring exists , in: Rings, Modules, Algebras, and Abelian Groups, A. Facchini, E. Houston and L. Salce eds., Marcel Dekker, Lecture Notes in Pure and Applied Mathematics, 236 (2004), 449-463. ( pdf)
  15. Projective modules over the endomorphism ring of a biuniform module , J. Pure Appl. Algebra, 188 (2004), 227-246. ( pdf)
  16. Super decomposable pure injective modules exist over some string algebras , Proc. Amer. Math. Soc., 132 (2004), 1891-1898. ( pdf)
  17. Krull-Gabriel dimension of a serial ring , Comm. Algebra, 31(12) (2003), 5977-5993.( pdf)
  18. Pure injective modules over a commutative valuation domain , Algebras Repres. Theory, 6 (2003), 239-250. ( pdf)
  19. Artinian and Noetherian serial rings , Algebra, 17. J. Math. Sci. (New York), 110(1) (2002), 2330-2347. ( pdf)
  20. (with M. Prest) Pure injective envelopes of finite length modules over a generalized Weyl algebras, J. Algebra, 251 (2002), 150-177. ( pdf)
  21. Pure projective modules over an exceptional uniserial ring , St. Petersburg Math. J., 13(6) (2002), 175-192. ( pdf)
  22. Some model theory over nearly simple uniserial domain and decomposition of serial modules , J. Pure Appl. Algebra, 21 (2001), 319-337. ( pdf)
  23. Some model theory over an exceptional uniserial ring and decomposition of serial modules , J. London Math. Soc. (2), 64 (2001), 311-326. ( pdf)
  24. Finite length and pure injective modules over a ring of differential operators , J. Algebra, 231 (2000), 546-560. ( pdf)
  25. Pure injective and finite length modules over certain rings of differential polynomials , pp. 171-185 in: Lie Algebras and Related Topics, Fong Yuen, A.A. Mikhalev, E.V. Zelmanov eds., Springer, 2000. ( pdf)
  26. Cantor-Bendixson rank of the Ziegler spectrum over a commutative valuation domain , J. Symb. Logic, 64(4) (1999), 1512-1518. ( pdf)
  27. Left almost split morphisms and generalized Weyl algebras , Math. Notes, 66(5) (1999), 734-740.
  28. (with M. Prest and Ph. Rothmaler) Rings described by various purities , Comm. Algebra, 27(5) (1999), 2127-2162.
  29. (with M. Prest) Sigma-pure injective modules over a commutative Pruefer ring , Comm. Algebra, 27(2) (1999), 961-971.
  30. (with M. Prest) Some model theory over hereditary noetherian domains , J. Algebra, 211 (1999), 268-297. ( pdf)
  31. Finitely presented modules over uniserial rings , Fund. Appl. Math., 2(3) (1997), 631-633.
  32. (with A. Facchini and R. Camps) Serial rings that are endomorphism rings of artinian modules , pp. 141-159 in: Rings and Radicals, B.J. Gardner, Liu Shaoxue and R.Wiegand eds., Longman, Pitman Research Notes in Math., 346 (1996).
  33. (with A. Facchini) Classical localizations in serial rings , Comm. Algebra, 24 (1996), 3537-3559.
  34. (with R. Wisbauer) Sigma-injective modules over left duo and left distributive rings , J. Pure Appl. Algebra, 113 (1996), 55-66.
  35. (with M. Yousif and R. Wisbauer) On p-injective rings , Glasgow Math. J., 37 (1995), 373-378.
  36. Krull-Schmidt rings and pure injective modules , Fund. Appl. Math., 2(2) (1995), 472-489.
  37. Pure injective modules over right noetherian serial rings , Comm. Algebra, 23(4) (1995), 1579-1592. ( pdf)
  38. (with K.I. Beidar and A.V. Mikhalev) The logical aspects of ring and module theory , Fund. Appl. Math., 1(1) (1995), 1-62.
  39. (with A. Facchini) Sigma-pure injective modules over serial rings , pp. 145-162 in: Abelian Groups and Modules, A. Facchini and C. Menini eds., Kluwer, 1995.
  40. Pure injective modules over chain rings , Proc. Moscow Math. Soc., 56 (1995), 176-191.
  41. Warfield rings , Algebra and Logic, 33(3) (1994), 264-285.
  42. RD-formulae and W-rings , Math. Notes, 53(1) (1993), 95-103.
  43. Super decomposable pure injective modules over commutative valuation rings , Algebra and Logic, 31(6) (1992), 655-671.
  44. Pure injective and RD-injective envelopes of a ring , Math. Notes, 52(6) (1992), 81-88.
  45. (with V. Puninskaya) Minimal modules over Pruefer rings , Algebra and Logic, 30(5) (1991), 557-567.
  46. The finite system of axiom for model companion of theory of all multitrees , Diskr. Math., 2(4) (1990), 3-10.
  47. Model complete theories of trees , Sib. Math. J., 31(6) (1990), 142-148.
  48. The model completion of the theory of all partially ordered sets , Zeitschr. Math. Logik Grundl. Math., 35 (1989), 481.
  49. Model completeness and decidability , Vestnik Mosk. Univ. (1), 1 (1988), 84-86.
  50. Model complete theories of bounded unars , Sib. Math. J., 28(5) (1987), 145-148.
  51. The elimination of quantifiers for partially ordered sets , pp. 74-77 in: Algebra, Logic and Number Theory, Moscow, Moscow Univ. Press, 1986.
  52. Boolean powers of modules , Vestnik Mosk. Univ. (1), 1 (1983), 28-31.

    Last updated February 29, 2008.