Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: Keywords: abelian groups,
modules,
endomorphism rings.
Subject:
Scientific interests are connected with the theory of endomorphism rings of abelian groups, abelian groups, with a large number of endomorphisms (fully transitive etc.), extension and homomorphism groups of abelian groups, and with some problems of the theory of rings and modules.
Main publications:
Krylov P. A., “Silno odnorodnye abelevy gruppy bez krucheniya”, Sib. matem. zh., 24:2 (1983), 77–84
Krylov P. A., “O dvukh problemakh, kasayuschikhsya grupp rasshirenii abelevykh grupp”, Matem. sb., 185:1 (1994), 73–94
Krylov P. A., “Smeshannye abelevy gruppy kak moduli nad svoimi koltsami endomorfizmov”, Fund. i prikl. matem., 6:3 (2000), 793–812
Krylov P. A., Chekhlov A. R., “Abelevy gruppy bez krucheniya s bolshim chislom endomorfizmov”, Algebra. Topologiya, Sbornik statei, Tr. IMM, 7, no. 2, 2001, 194–207; Krylov P. A., Chekhlov A. R., “Torsion-free abelian groups with a large number of endomorphisms”, Proc. Steklov Inst. Math., 2001, suppl. 2, S156–S168
Krylov P. A., “Affinnye gruppy modulei i ikh avtomorfizmy”, Algebra i logika, 40:1 (2001), 60–82
