参考文献:1.N. S. Romanovskii, “Divisible rigid groups,” Algebra and Logic, 47, No. 6, 426–434 (2008). 2.N. S. Romanovskii, “Equational Noetherianness of rigid soluble groups,” Algebra and Logic, 48, No. 2, 147–160 (2009). 3.N. S. Romanovskii, “Irreducible algebraic sets over divisible decomposed rigid groups,” Algebra and Logic, 48, No. 6, 449–464 (2009). 4.N. S. Romanovskii, “Coproducts of rigid groups,” Algebra and Logic, 49, No. 6, 539–550 (2010). 5.A. Myasnikov and N. Romanovskiy, “Krull dimension of solvable groups,” J. Alg., 324, No. 10, 2814–2831 (2010).MathSciNet CrossRef MATH 6.A. Myasnikov and N. Romanovskiy, “Universal theories for rigid soluble groups,” Algebra and Logic, 50, No. 6, 539–552 (2011). 7.N. S. Romanovskiy, “Presentations for rigid solvable groups,” J. Group Th., 15, No. 6, 793–810 (2012).MathSciNet MATH 8.S. G. Afanas’eva and N. S. Romanovskii, “Rigid metabelian pro-p-groups,” Algebra and Logic, 53, No. 2, 102–113 (2014). 9.S. G. Melesheva, “Equations and algebraic geometry over profinite groups,” Algebra and Logic, 49, No. 5, 444–455 (2010). 10.G. Baumslag, A. Myasnikov, and V. Remeslennikov, “Algebraic geometry over groups. I: Algebraic sets and ideal theory,” J. Alg., 219, No. 1, 16–79 (1999).MathSciNet CrossRef MATH 11.A. Myasnikov and V. N. Remeslennikov, “Algebraic geometry over groups. II. Logical foundations,” J. Alg., 234, No. 1, 225–276 (2000).MathSciNet CrossRef MATH 12.V. N. Remeslennikov and N. S. Romanovskii, “Irreducible algebraic sets in metabelian groups,” Algebra and Logic, 44, No. 5, 336–347 (2005). 13.N. S. Romanovskii, “Algebraic sets in metabelian groups,” Algebra and Logic, 46, No. 4, 274–280 (2007). 14.S. G. Afanas’eva, “The coordinate group of an affine space over a rigid metabelian pro-p group,” Algebra and Logic, 53, No. 3, 187–190 (2014). 15.J. S. Wilson, Profinite Groups, London Math. Soc. Mon., New Ser., 19, Clarendon, Oxford (1998). 16.V. N. Remeslennikov, “Embedding theorems for profinite groups,” Izv. Akad. Nauk SSSR, Ser. Mat., 43, No. 2, 399–417 (1979). 17.N. S. Romanovskii, “Shmel’kin embeddings for abstract and profinite groups,” Algebra and Logic, 38, No. 5, 326–334 (1999).
作者单位:N. S. Romanovskii (1) (2)
1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia 2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Algebra Mathematical Logic and Foundations Russian Library of Science