Zobrazeno 1 - 10
of 37
pro vyhledávání: '"V A, Bludov"'
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 29, Iss 1, Pp 138-154 (2019)
The paper is devoted to the scientific and pedagogical activity of A. I. Kokorin, the founder of the Irkutsk algebraic-logical school, whose 90th anniversary is celebrated in November 2019. Five research areas with the most significant contributions
Externí odkaz:
https://doaj.org/article/8d4638a4b4ad433290ea6d88b26bcc8f
Autor:
A. M. W. Glass, V. V. Bludov
Publikováno v:
Mathematica Slovaca. 64:571-578
We prove TheoremA. The cardinal product of two copies of the integers is an amalgamation base for the class of all lattice-ordered groups but their lexicographic product is not. This answers Problem 27 of [Black Swamp Problem Book (W. Charles Holland
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c578ef5b8843b59820fdb458b6bed375
https://doi.org/10.2478/s12175-014-0227-5
https://doi.org/10.2478/s12175-014-0227-5
Autor:
V. V. Bludov, A. M. W. Glass
Publikováno v:
Bulletin of the London Mathematical Society. 44:85-98
We construct a finitely presented (two-sided) totally orderable group with insoluble word problem.
17 pages
17 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e9af156588132f393c016ebdbfe11a0
https://doi.org/10.1112/blms/bdr070
https://doi.org/10.1112/blms/bdr070
Publikováno v:
Mathematica Slovaca. 61:373-388
In 1963, W. Charles Holland proved that every lattice-ordered group can be embedded in the lattice-ordered group of all order-preserving permutations of a totally ordered set. In this article we examine the context and proof of this result and survey
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20a80ec6fd045636959f967fd1abcf81
https://doi.org/10.2478/s12175-011-0018-1
https://doi.org/10.2478/s12175-011-0018-1
Autor:
A. M. W. Glass, V. V. Bludov
Publikováno v:
Mathematica Slovaca. 61:355-372
Let H i be a sublattice subgroup of a lattice-ordered group G i (i = 1, 2). Suppose that H 1 and H 2 are isomorphic as lattice-ordered groups, say by φ. In general, there is no lattice-ordered group in which G 1 and G 2 can be embedded (as lattice-o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c88ce454bf5bd54854a82abaac498821
https://doi.org/10.2478/s12175-011-0017-2
https://doi.org/10.2478/s12175-011-0017-2
Publikováno v:
Algebra and Logic. 48:163-172
Orderable solvable groups in which every relatively convex subgroup is normal are studied. If such a class is subgroup closed than it is precisely the class of solvable orderable groups which are locally of finite (Mal’tsev) rank. A criterion for a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a1080f989259ac636b81f6416002090
https://doi.org/10.1007/s10469-009-9050-4
https://doi.org/10.1007/s10469-009-9050-4
Autor:
A. M. W. Glass, V. V. Bludov
Publikováno v:
Proceedings of the London Mathematical Society. 99:585-608
We use permutation groups to give necessary and sufficient conditions for the free product of right-ordered groups with amalgamated subgroup to be right orderable. We obtain several consequences answering previously posed problems and also prove the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9d0a723a5e0f87bbfa8a8f4283e94f5
https://doi.org/10.1112/plms/pdp008
https://doi.org/10.1112/plms/pdp008
Autor:
V. V. Bludov, V. M. Kopytov
Publikováno v:
Algebra and Logic. 47:297-303
A number of conditions are specified which are sufficient for totally ordered groups with polycyclic factor group to contain a finite normal series of convex subgroups whose factors possess good enough properties. In any case studying such totally or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3839dd9780bdf1eb31a8e7b79da6dfaf
https://doi.org/10.1007/s10469-008-9028-7
https://doi.org/10.1007/s10469-008-9028-7
Autor:
B. V. Gusev, V. V. Bludov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 257:S61-S82
Based on the notion of geometric equivalence of groups, new classes of groups, namely, geometric varieties of groups, are defined. Some properties of such classes, including their relation to quasi-varieties and prevarieties of groups, are studied. E
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e808e04726d95798c3efe233c5ca809
https://doi.org/10.1134/s0081543807050045
https://doi.org/10.1134/s0081543807050045
Autor:
A. M. W. Glass, V. V. Bludov
Publikováno v:
Transactions of the American Mathematical Society. 358:5179-5193
In 1974, J. Martinez introduced the variety W of weakly Abelian lattice-ordered groups; it is defined by the identity x -1 (y V 1)x V (y V 1) 2 = (y V 1) 2 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fb7e2b846b4abcc6d977cc6d453d494
https://doi.org/10.1090/s0002-9947-06-03882-7
https://doi.org/10.1090/s0002-9947-06-03882-7