2. J. Gubeladze, On Serre's generalized problem for affine rings, generated by monomials, Bull. Georg. Ac. Sci. 106 (1982), 29-32 (Russian).
3. J. Gubeladze, Serre's Generalized Problem for Affine Rings, Generated by Monomials. Tbilisi: Tbilisi St. University Press, (1982), 64 pp, (Russian).
4. J. Gubeladze, On projective modules over seminormal rings, generated by monomials, Bull. Georg. Ac. Sci. 114 (1984), 473-475 (Russian).
5. J. Gubeladze, Triviality of the groups SK_0 and Pic for algebras, generated by monomials, Bull. Georg. Ac. Sci. 117 (1985), 29-32 (Russian).
6. 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).
7. J. Gubeladze, On divisor class groups of divisible monoids, Bull. Georg. Ac. Sci. 122 (1986), 241-244 (Russian).
8. J. Gubeladze, On polynomial functions and polynomial algebras, Bull. Georg. Ac. Sci. 125 (1986), 25-27 (Russian).
9. J. Gubeladze, Anderson's conjecture and projective modules over monoid algebras, Bull. Georg. Ac. Sci. 125 (1987), 289-291 (Russian).
10. J. Gubeladze, On K-theory of complete projective algebras, Bull. Georg. Ac. Sci. 128 (1987), 17-20 (Russian).
11. J. Gubeladze, Anderson's conjecture and the maximal class of monoids over which projective modules are free, Math. USSR Sbornik135 (1988), 169-181 (Russian).
12. J. Gubeladze, On classical algebraic K-theory of monoid algebras, Bull. Georg. Ac. Sci. 130 (1988), 469-471 (Russian).
13. J. Gubeladze, On classical algebraic K-theory of monoid algebras II, Bull. Georg. Ac. Sci. 133 (1989), 253-256 (Russian).
14. J. Gubeladze, On classical algebraic K-theory of monoid algebras III, Bull. Georg. Ac. Sci. 136 (1989), 17-19 (Georgian).
15. J. Gubeladze, Classical algebraic K-theory of monoid algebras, Lect Notes Math. 1437, Springer (Berlin), 1990, 36-94.
16. J. Gubeladze, The elementary action on unimodular rows over a monoid ring, J. Algebra 148 (1992), 132-161.
17. J. Gubeladze, The elementary action on unimodular rows over a monoid ring II, J. Algebra 155 (1993), 171-194.
18. J. Gubeladze, Algebraic K-theory of monoid rings, Cloppenburg: Runge. Vechtaer Universitätsschriften. 13, 73-76 (1994).
19. J. Gubeladze, Geometric and algebraic representations of commutative cancellative monoids, Proc A. Razmadze Math. Inst., Georg. Acad. Sci. 113 (1995), 31-81.
20. J. Gubeladze, Nontriviality of SK_1(R[M]), J. Pure Appl. Algebra 104 (1995), 169-190.
21. J. Gubeladze, The isomorphism problem for monoid rings of rank 2 monoids, J. Pure Appl. Algebra 105 (1995), 17-51.
22. W. Bruns and J. Gubeladze, Combinatorial invariance of Stanley-Reisner rings, Georg. Math. J. 3 (1996), 315-318.
23. W. Bruns, J. Gubeladze and N. V. Trung, Normal polytopes, triangulations, and Koszul algebras, J. Reine Angew. Math. 405 (1997), 123-160.
24. J. Gubeladze, The isomorphism problem for commutative monoid rings, J. Pure Appl. Algebra 129 (1998), 35-65.
25. W. Bruns and J. Gubeladze, Examples of infinitely generated Koszul algebras, Math. Nachr. 195 (1998), 47-59.
26. W. Bruns and J. Gubeladze, A regularity criterion for semigroup rings, Georg. Math. J. 6 (1999), 259-262.
27. W. Bruns and J. Gubeladze, Rectangular simplicial semigroups, (Commutative Algebra, Algebraic Geometry, and Computational Methods), Lect. Notes Math., Springer, 1999, 201-214.
28. W. Bruns and J. Gubeladze, Polytopal linear groups, J. Algebra 219 (1999), 715-737.
29. J. Gubeladze, Toric degenerations and vector bundles, Proc. Amer. Math. Soc. 127 (1999), pp. 3493-3494.
30. W. Bruns and J. Gubeladze, Normality and covering properties for affine semigroups, J. Reine Angew. Math. 510 (1999), 161-178.
31. 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.
32. J. Gubeladze, K-theory of affine toric varieties, Homology, Homotopy and Applications 1 (1999), 135-145.
33. J. Gubeladze, Regular analytic
transformations fo R^2,
Ann. Math. Pol. 75 (2000), 99-109.
34. J. Gubeladze, Subintegral extensions and unimodular rows, Lect. Notes Pure Appl. Math. 217, Dekker, New York, 2001, 221-225.
35. W. Bruns and J. Gubeladze, Polytopal linear retractions, Trans. Amer. Math. Soc. 354 (2002), 179-203.
36. W. Bruns and J. Gubeladze, Polyhedral algebras, arrangements of toric varieties, and their groups, Adv. Stud. Pure Math., Vol. 33, 2002, pp. 1-51.
37. W. Bruns, J. Gubeladze and N. V. Trung, Problems and algorithms for affine semigroups, Semigroup Forum 64 (2002), 180-212.
38. W. Bruns and J. Gubeladze, Semigroup rings and discrete geometry, S'eminaires et Congr`es, 6 (2002), 43-127.
39. W. Bruns and J. Gubeladze, Polytopal linear algebra, Beitr. Algebra Geom. 43 (2002), 479-500.
40. W. Bruns and J. Gubeladze, Unimodular covers of multiples of polytopes, Documenta Math. 7 (2002), 463-480.
41. W. Bruns and J. Gubeladze, Polyhedral K_2, Manuscripta Math. 109 (2002), 367-404.
42. W. Bruns and J. Gubeladze, Divisorial linear algebra of normal semigroup rings, Algebr. Represent. Theory 6 (2003), 139-168.
43. W. Bruns and J. Gubeladze, Higher Polyhedral K-groups, J. Pure Appl. Algebra 184 (2003), 175-228.
44. J. Gubeladze, Higher K-theory of toric varieties, K-Theory 28 (2003), 285-327.
45. J. Gubeladze,
Toric
varieties with huge Grothendieck group, Adv. Math. 186
(2004), 117-124.
46. W. Bruns and J. Gubeladze, Polytopes and K-theory,
Georg. Math. J. 11 (2004), 655 - 670.
47. J. Gubeladze, The nilpotence conjecture in K-theory of toric varieties, Invent. math. 160 (2005), 173 - 216.
48. J. Gubeladze and Z. Mushkudiani, Commutator automorphisms of formal power series rings, Proc. Amer. Math. Soc. 134 (2006), 1569 - 1578.53. W. Bruns and J. Gubeladze, Polytopes,
Rings, and K-Theory, book
in
progress - version of May 15,
2008
This is a prefinal version, we would appreciate any comments at this
critical stage of the project.
X. J. Gubeladze, K-Theory of Toric Varieties, Last update May 15, 2008
(requires
MathSciNet subscription)