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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2001, Volume 13, Issue 3, Pages 139–154 (Mi aa940)

On a family of Shur rings over a finite cyclic group
S. A. Evdokimov, I. N. Ponomarenko

This publication is cited in the following articles:
  1. G. K. Ryabov, “Ob obobschennykh gruppakh Shura”, Algebra i logika, 62:2 (2023), 247–265  mathnet  crossref
  2. G. K. Ryabov, L. V. Shalaginov, “On WL-rank and WL-dimension of some Deza dihedrants”, Kombinatorika i teoriya grafov. XIII, Zap. nauchn. sem. POMI, 518, POMI, SPb., 2022, 152–172  mathnet
  3. Ryabov G., “The Cayley Isomorphism Property For the Group”, Commun. Algebr., 49:4 (2021), 1788–1804  crossref  mathscinet  isi
  4. A. Misseldine, “Enumeration Techniques on Cyclic Schur Rings”, Tr. IMM UrO RAN, 27, no. 4, 2021, 276–289  mathnet  crossref
  5. Ryabov G., “On Separable Schur Rings Over Abelian Groups”, Algebr. Colloq., 28:03 (2021), 431–440  crossref  mathscinet  isi
  6. Muzychuk M., Xu B., “On Structures of Quasi-Thin Table Algebras and Applications to Association Schemes”, J. Algebra, 560 (2020), 343–370  crossref  mathscinet  isi
  7. Ryabov G., “Separability of Schur Rings Over Abelian Groups of Odd Order”, Graphs Comb., 36:6 (2020), 1891–1911  crossref  mathscinet  isi  scopus
  8. Ryabov G., “The Cayley Isomorphism Property For the Group C-2(5) X C-P”, ARS Math. Contemp., 19:2 (2020), 277–295  crossref  mathscinet  isi
  9. Kovacs I., Ryabov G., “Ci-Property For Decomposable Schur Rings Over An Abelian Group”, Algebr. Colloq., 26:1 (2019), 147–160  crossref  mathscinet  zmath  isi  scopus
  10. Blau H.I., “Quotient Structures, Homomorphisms, and Partial Wreath Products in Reality-Based Algebras”, J. Algebra, 530 (2019), 114–145  crossref  mathscinet  isi
  11. Ryabov G., “On Separable Abelian P-Groups”, ARS Math. Contemp., 17:2 (2019), 467–479  crossref  mathscinet  isi
  12. Feng Ya.-Q., Kovacs I., “Elementary Abelian Groups of Rank 5 Are Dci-Groups”, J. Comb. Theory Ser. A, 157 (2018), 162–204  crossref  mathscinet  zmath  isi  scopus
  13. G. K. Ryabov, “Separability of Schur rings over Abelian $p$-groups”, Algebra and Logic, 57:1 (2018), 49–68  mathnet  crossref  crossref  isi
  14. G. K. Ryabov, “Separability of Schur rings over an abelian group of order $4p$”, J. Math. Sci. (N. Y.), 243:4 (2019), 624–632  mathnet  crossref
  15. J. Math. Sci. (N. Y.), 234:2 (2018), 248–255  mathnet  crossref
  16. Evdokimov S. Ponomarenko I., “Coset Closure of a Circulant S-Ring and Schurity Problem”, J. Algebra. Appl., 15:4 (2016), 1650068  crossref  mathscinet  zmath  isi  elib  scopus
  17. Evdokimov S. Kovacs I. Ponomarenko I., “on Schurity of Finite Abelian Groups”, Commun. Algebr., 44:1 (2016), 101–117  crossref  mathscinet  zmath  isi  elib  scopus
  18. St. Petersburg Math. J., 28:1 (2017), 21–35  mathnet  crossref  mathscinet  isi  elib
  19. Kim K., “A family of non-Schurian p-Schur rings over groups of order p 3 ${p^{3}}$”, J. Group Theory, 19:4 (2016), 617–633  crossref  mathscinet  zmath  isi  elib  scopus
  20. Kim K., “Commutative $p$-Schur Rings Over Non-Abelian Groups of Order $p^3$”, Bull. Korean. Math. Soc., 51:6 (2014), 1689–1696  crossref  mathscinet  zmath  isi  elib  scopus
  21. St. Petersburg Math. J., 25:5 (2014), 755–773  mathnet  crossref  mathscinet  zmath  isi  elib
  22. Klin M., Kovacs I., “Automorphism groups of rational circulant graphs”, Electron J Combin, 19:1 (2012), P35  crossref  mathscinet  zmath  isi  elib
  23. S. A. Evdokimov, I. N. Ponomarenko, “Schurity of $\mathrm S$-rings over a cyclic group and generalized wreath product of permutation groups”, St. Petersburg Math. J., 24:3 (2013), 431–460  mathnet  crossref  mathscinet  zmath  isi  elib  elib
  24. Hendrickson A.O.F., “Supercharacter Theory Constructions Corresponding to Schur Ring Products”, Commun. Algebr., 40:12 (2012), 4420–4438  crossref  mathscinet  zmath  isi  elib  scopus
  25. Evdokimov S., Ponomarenko I., “Schur rings over a Galois ring of odd characteristic”, Journal of Combinatorial Theory Series A, 117:7 (2010), 827–841  crossref  mathscinet  zmath  isi  scopus
  26. Evdokimov S., Ponomarenko I., “Permutation group approach to association schemes”, European J. Combin., 30:6 (2009), 1456–1476  crossref  mathscinet  zmath  isi  elib  scopus
  27. Muzychuk M., Ponomarenko I., “Schur rings”, European J. Combin., 30:6 (2009), 1526–1539  crossref  mathscinet  zmath  isi  elib  scopus
  28. Muzychuk M., “A wedge product of association schemes”, European Journal of Combinatorics, 30:3 (2009), 705–715  crossref  mathscinet  zmath  isi  scopus
  29. Evdokimov S., Ponomarenko I., “A new look at the burnside–schur theorem”, Bulletin of the London Mathematical Society, 37:4 (2005), 535–546  crossref  mathscinet  zmath  isi  scopus
  30. Muzychuk M., “A solution of the isomorphism problem for circulant graphs”, Proc. London Math. Soc. (3), 88:1 (2004), 1–41  crossref  mathscinet  zmath  isi  scopus
  31. S. A. Evdokimov, I. N. Ponomarenko, “Polynomial time recognition and verification of isomorphism of circular graphs”, St. Petersburg Math. J., 15:6 (2004), 813–835  mathnet  crossref  mathscinet  zmath


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