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Shakin, Dmitry Aleksandrovich

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Keywords: resolution; polynomial ring; Hilbert series; Poincare series; Betti numbers.
   
Main publications:
  • Shakin D. A. O nekotorykh obobscheniyakh kombinatornoi teoremy Makoleya na sluchai faktor-kolets // UMN, 2001, t. 56, vyp. 4, s. 161–162.
  • Shakin D. A. O nekotorykh obobscheniyakh kombinatornoi teoremy Makoleya na sluchai faktorkolets // Matematicheskii sbornik, 2001, t. 192, # 9, s. 143–160.

https://www.mathnet.ru/eng/person11174
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/685261

Publications in Math-Net.Ru Citations
2005
1. D. A. Shakin, “Piecewise lexsegment ideals in exterior algebras”, Mat. Sb., 196:2 (2005),  139–160  mathnet  mathscinet  zmath  elib; Sb. Math., 196:2 (2005), 287–307  isi  scopus 1
2004
2. D. A. Shakin, “Hilbert functions and Betti numbers of homogeneous ideals in an exterior algebra”, Uspekhi Mat. Nauk, 59:5(359) (2004),  165–166  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:5 (2004), 976–978  isi  scopus 1
2003
3. D. A. Shakin, “Piecewise lexsegment ideals”, Mat. Sb., 194:11 (2003),  117–140  mathnet  mathscinet  zmath; Sb. Math., 194:11 (2003), 1701–1724  isi  scopus 10
2002
4. D. A. Shakin, “$I$-stable ideals”, Izv. RAN. Ser. Mat., 66:3 (2002),  197–224  mathnet  mathscinet  zmath; Izv. Math., 66:3 (2002), 631–657  scopus
2001
5. D. A. Shakin, “On certain generalizations of Macaulay's combinatorial theorem to the case of quotient rings”, Uspekhi Mat. Nauk, 56:4(340) (2001),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:4 (2001), 762–764  isi  scopus
6. D. A. Shakin, “Some generalizations of Macaulay's combinatorial theorem for residue rings”, Mat. Sb., 192:9 (2001),  143–160  mathnet  mathscinet  zmath; Sb. Math., 192:9 (2001), 1399–1416  isi  scopus 4

Organisations