Papers       Books       Extended abstracts       Reviews


Papers

1. J. Gubeladze, On subrings of polynomial rings, generated by monomials, Bull. Georg. Acad. Sci. 104 (1981), 545-547 (Russian).

2. J. Gubeladze, On Serre's generalized problem for affine rings, generated by monomials, Bull. Georg. Acad. Sci. 106 (1982), 29-32 (Russian).

3. J. Gubeladze, On projective modules over seminormal rings, generated by monomials, Bull. Georg. Acad. Sci. 114 (1984), 473-475 (Russian).

4. J. Gubeladze, Triviality of the groups SK_0 and Pic for algebras, generated by monomials, Bull. Georg. Acad. Sci. 117 (1985), 29-32 (Russian).

5. J. Gubeladze, Projective modules over affine rings, generated by monomials, Studies in Algebra, Eds. A. Kostrikin and H. Inassaridze, Tbilisi: Tbilisi St. University Press, 1985, 24-43 (Russian).

6. J. Gubeladze, On divisor class groups of divisible monoids, Bull. Georg. Acad. Sci. 122 (1986), 241-244 (Russian).

7. J. Gubeladze, On polynomial functions and polynomial algebras, Bull. Georg. Acad. Sci. 125 (1986), 25-27 (Russian).

8. J. Gubeladze, Anderson's conjecture and projective modules over monoid algebras, Bull. Georg. Acad. Sci. 125 (1987), 289-291 (Russian).

9. J. Gubeladze, On K-theory of complete projective algebras, Bull. Georg. Acad. Sci. 128 (1987), 17-20 (Russian).

10. J. Gubeladze, Anderson's conjecture and the maximal class of monoids over which projective modules are free, Math. USSR Sbornik 135 (1988), 169-181 (Russian).

11. J. Gubeladze, On classical algebraic K-theory of monoid algebras, Bull. Georg. Acad. Sci. 130 (1988), 469-471 (Russian).

12. J. Gubeladze, On classical algebraic K-theory of monoid algebras II, Bull. Georg. Acad. Sci. 133 (1989), 253-256 (Russian).

13. J. Gubeladze, On classical algebraic K-theory of monoid algebras III, Bull. Georg. Acad. Sci. 136 (1989), 17-19 (Georgian).

14. J. Gubeladze, Classical algebraic K-theory of monoid algebras, Lect Notes Math. 1437, Springer (Berlin), 1990, 36-94.

15. J. Gubeladze, The elementary action on unimodular rows over a monoid ring, J. Algebra 148 (1992), 132-161.

16. J. Gubeladze, The elementary action on unimodular rows over a monoid ring II, J. Algebra 155 (1993), 171-194.

17. J. Gubeladze, Geometric and algebraic representations of commutative cancellative monoids, Proc A. Razmadze Math. Inst., Georg. Acad. Sci. 113 (1995), 31-81.

18. J. Gubeladze, Nontriviality of SK_1(R[M]), J. Pure Appl. Algebra 104 (1995), 169-190.

19. J. Gubeladze, The isomorphism problem for monoid rings of rank 2 monoids, J. Pure Appl. Algebra 105 (1995), 17-51.

20. W. Bruns and J. Gubeladze, Combinatorial invariance of Stanley-Reisner rings, Georg. Math. J. 3 (1996), 315-318.

21. W. Bruns, J. Gubeladze and N. V. Trung, Normal polytopes, triangulations, and Koszul algebras, J. Reine Angew. Math. 405 (1997), 123-160.

22. J. Gubeladze, The isomorphism problem for commutative monoid rings, J. Pure Appl. Algebra 129 (1998), 35-65.

23. W. Bruns and J. Gubeladze, Examples of infinitely generated Koszul algebras, Math. Nachr. 195 (1998), 47-59.

24. W. Bruns and J. Gubeladze, A regularity criterion for semigroup rings, Georg. Math. J. 6 (1999), 259-262.

25. W. Bruns and J. Gubeladze, Rectangular simplicial semigroups, (Commutative Algebra, Algebraic Geometry, and Computational Methods), Lect. Notes Math., Springer, 1999, 201-214.

26. W. Bruns and J. Gubeladze, Polytopal linear groups, J. Algebra 219 (1999), 715-737.

27. J. Gubeladze, Toric degenerations and vector bundles, Proc. Amer. Math. Soc. 127 (1999), pp. 3493-3494.

28. W. Bruns and J. Gubeladze, Normality and covering properties for affine semigroups, J. Reine Angew. Math. 510 (1999), 161-178.

29. W. Bruns, J. Gubeladze, M. Henk, A. Martin, and R. Weismantel, A Counterexample to an integral analogue of Carath'eodory theorem, J. Reine Angew. Math. 510 (1999), 179-185.

30. J. Gubeladze, K-theory of affine toric varieties, Homology, Homotopy and Applications 1 (1999), 135-145.

31. J. Gubeladze, Regular analytic transformations fo R^2, Ann. Math. Pol. 75 (2000), 99-109.

32. J. Gubeladze, Subintegral extensions and unimodular rows, Lect. Notes Pure Appl. Math. 217, Dekker, New York, 2001, 221-225.

33. W. Bruns and J. Gubeladze, Polytopal linear retractions, Trans. Amer. Math. Soc. 354 (2002), 179-203.

34. W. Bruns and J. Gubeladze, Polyhedral algebras, arrangements of toric varieties, and their groups, Adv. Stud. Pure Math., Vol. 33, 2002, pp. 1-51.

35. W. Bruns, J. Gubeladze and N. V. Trung, Problems and algorithms for affine semigroups, Semigroup Forum 64 (2002), 180-212.

36. W. Bruns and J. Gubeladze, Semigroup rings and discrete geometry, S'eminaires et Congr`es, 6 (2002), 43-127.

37. W. Bruns and J. Gubeladze, Polytopal linear algebra, Beitr. Algebra Geom. 43 (2002), 479-500.

38. W. Bruns and J. Gubeladze, Unimodular covers of multiples of polytopes, Documenta Math. 7 (2002), 463-480.

39. W. Bruns and J. Gubeladze, Polyhedral K_2, Manuscripta Math. 109 (2002), 367-404.

40. W. Bruns and J. Gubeladze, Divisorial linear algebra of normal semigroup rings, Algebr. Represent. Theory 6 (2003), 139-168.

41. W. Bruns and J. Gubeladze, Higher Polyhedral K-groups, J. Pure Appl. Algebra 184 (2003), 175-228.

42. J. Gubeladze, Higher K-theory of toric varieties, K-Theory 28 (2003), 285-327.

43. J. Gubeladze, Toric varieties with huge Grothendieck group, Adv. Math. 186 (2004),  117-124.

44. W. Bruns and J. Gubeladze, Polytopes and K-theory, Georg. Math. J. 11 (2004), 655 - 670.

45. J. Gubeladze, The nilpotence conjecture in K-theory of toric varieties, Invent. math. 160 (2005),  173 - 216.

46. J. Gubeladze and Z. Mushkudiani, Commutator automorphisms of formal power series rings, Proc. Amer. Math. Soc. 134 (2006), 1569 - 1578.

47. J. Gubeladze, The Steinberg group of a monoid ring, nilpotence, and algorithms, J. Algebra 307 (2007), 461 - 496.

48. J. Gubeladze, Global coefficient ring in the nilpotence conjecture, Proc. Amer. Math. Soc. 136 (2008), 499 - 503.

49. J. Gubeladze, On Bass' question for finitely generated algebras over large fields, Bull. London Math. Soc. 41 (2009), 36 – 40.

50. J. Gubeladze, Convex normality of rational polytopes with long edges, Adv. Math.,
230 (2012), 372 – 389.

51. T. Bogart, M. Contois, and J. Gubeladze, Hom-polytopes, Math. Z., 273 (2013), 1267 – 1296.

52. J. Gubeladze, K-theory of toric varieties revisited, J. Homotopy Relat. Struct. 9 (2014), 9 – 23.

53. J. Gubeladze and J. Love, Vertex maps between Δ, , and , Geometriae Dedicata (2014), published electronically.

54. M. Beck, J. Delgado, J. Gubeladze, and M. Michałek, Very ample and Koszul segmental fibrations, J. Algebr. Comb., to appear.

55. M. Bakuradze, A. Gamkrelidze, and J. Gubeladze, Affine hom-complexes, preprint.


Books

1. J. Gubeladze, Serre's Generalized Problem for Affine Rings, Generated by Monomials, Tbilisi: Tbilisi St. University Press, (1982), 64 pp.

2. W. Bruns and J. Gubeladze, Polytopes, Rings, and K-Theory, Springer, 2009


Extended abstracts

1. J. Gubeladze, Algebraic K-theory of monoid rings, Conference on Commutative Algebra, 1994, Vechta (Germany), Vechtaer Universitätsschriften. 13, 73-76 (1994).

2. J. Gubeladze, Normal polytopes, FPSAC 2010, San Francisco (USA).


Reviews  [1996 - 2005]

(requires MathSciNet subscription)