Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mccme.ru/dfc/2010/Program2/Pirkovsky_pubs.pdf Дата изменения: Sat Oct 16 13:00:00 2010 Дата индексирования: Sun Feb 13 14:06:27 2011 Кодировка: Поисковые слова: п п п п п п п п р п р п р п р п р п

Alexei Yu. Pirkovskii

Publications
1. Pirkovskii, A. Yu. On the conditions ensuring the freedom of topological modules over algebras of holomorphic functions (in Russian). Fund. i Prikl. Matem. 4 (1998), No. 2, 585­594. 2. Pirkovskii, A. Yu. On the problem of the existence of a sufficient number of injective Frґ echet modules over nonnormable Frґ echet algebras (in Russian), Izvestiya Ross. Akad. Nauk, ser. matem. 62 (1998), No. 4, 137­154. English transl.: Izvestiya: Mathematics 62 (1998), No. 4, 773­788. 3. Pirkovskii, A. Yu. On the nonexistence of cofree Frґ echet modules over local ly multiplicativelyconvex Frґ echet algebras, Rocky Mountain J. Math. 29 (1999), No. 3, 1129­1138. 4. Pirkovskii, A. Yu. On Arens-Michael algebras which do not have non-zero injective -modules, Studia Math. 133 (1999), No. 2, 163­174. 5. Pirkovskii, A. Yu. On certain homological properties of Stein algebras, Functional analysis, 3. J. Math. Sci. (New York) 95 (1999), no. 6, 2690­2702. 6. Pirkovskii, A. Yu. Injective topological modules, additivity formulas for homological dimensions and related topics, Topological Homology: Helemskii's Moscow Seminar (ed. A. Ya. Helemskii), 93­143, Nova Sci. Publ., Huntington, NY, 2000. 7. Pirkovskii, A. Yu. Some results on injective topological modules and injective homological dimensions, Topological Algebras with Applications to Differential Geometry and Mathematical Physics, Proceedings of the Fest-Colloquium in Honour of A. Mallios, Athens, September 1999, 72­85. Athens University Publ., Athens, 2002. 8. Pirkovskii, A. Yu. Biprojective topological algebras of homological bidimension 1, J. Math. Sci. (New York) 111 (2002), No. 2, 3476­3495. 9. Pirkovskii, A. Yu. Homological bidimension of biprojective topological algebras and nuclearity, Proc. of the 3rd International Conference on Topological Algebra and Applications, Oulu University, Oulu, Finland, July 2-6, 2001; Acta Universitatis Ouluensis A 408 (2004), 179­ 196. 10. Pirkovskii, A. Yu. Biprojectivity and biflatness for convolution algebras of nuclear operators, Canad. Math. Bull. 47 (2004), no. 3, 445­455. 11. Pirkovskii, A. Yu. Arens-Michael enveloping algebras and analytic smash products. Proc. Amer. Math. Soc. 134 (2006), no. 9, 2621­2631. 12. Pirkovskii, A. Yu. Stably flat completions of universal enveloping algebras, Dissertationes Math. (Rozprawy Math.) 441 (2006), 1­60. 13. Pirkovskii, A. Yu. Strictly flat cyclic Frґ echet modules and approximate identities, Proc. of the 5th International Conference on Topological Algebras and Applications, Athens, 2005. Contemporary Math. 427 (2007), 359­366.

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14. Pirkovskii, A. Yu., Selivanov, Yu. V. Homological ly trivial Frґ echet algebras, Proc. of the 5th International Conference on Topological Algebras and Applications, Athens, 2005. Contemporary Math. 427 (2007), 367­387. 15. Pirkovskii, A. Yu. Approximate characterizations of projectivity and injectivity for Banach modules, Math. Proc. Cambridge Phil. Soc. 143 (2007), no. 2, 375­385. 16. Pirkovskii, A. Yu. Algebras of holomorphic functions on noncommutative affine varieties (in Russian). Mathematical methods and applications, part 2. Proc. of the 17th RSSU mathematical lectures, 102­119, RSSU, Moscow, 2008. 17. Pirkovskii, A. Yu. Arens-Michael envelopes, homological epimorphisms, and relatively quasifree algebras. (Russian). Tr. Mosk. Mat. Obs. 69 (2008), 34­125; translation in Trans. Moscow Math. Soc. 2008, 27­104. 18. Pirkovskii, A. Yu. Weak homological dimensions and biflat KЁ othe algebras. (Russian). Mat. Sb. 199 (2008), no. 5, 45­80; translation in Sb. Math. 199 (2008), no. 5­6, 673­705. 19. Pirkovskii, A. Yu. Flat cyclic Frґ echet modules, amenable Frґ echet algebras, and approximate identities. Homology, Homotopy and Applications 11 (2009), no. 1, 81­114. 20. Pirkovskii, A. Yu. Homological dimensions of complex analytic and smooth quantum tori. Mathematical methods and applications. Proc. of the 18th RSSU mathematical lectures, 119­142, RSSU, Moscow, 2009. 21. Pirkovskii, A. Yu. Spectral theory and functional calculi for linear operators. (Russian). MCCME, Moscow, 2010. othe algebras. Quarterly Journal of Mathemat22. Pirkovskii, A. Yu. Homological dimensions of KЁ ics, to appear (2010); Advance Access, 2009, 1­13. 23. Pirkovskii, A. Yu., Selivanov, Yu. V. Structure theory of homological ly trivial and annihilator local ly C -algebras. Banach Center Publ., to appear (2010). 24. Pirkovskii, A. Yu. Homological dimensions and approximate contractibility for KЁ othe algebras. Banach Center Publ., to appear (2010). 25. Pirkovskii, A. Yu. Taylor's functional calculus and derived categories (Russian). Mathematical methods and applications. Proc. of the 19th RSSU mathematical lectures, RSSU, Moscow, 2010 (to appear).

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