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 Related
Structures (to appear).
53. J. Gubeladze and J. Love, Vertex maps between Δ, □,
and ◊, preprint.
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]
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