Alexander G. Gein (January 29, 1950 , Sverdlovsk ) - Doctor of Physical and Mathematical Sciences , Doctor of Pedagogical Sciences , Professor , Associate Professor , author of more than 170 scientific papers. In 1972 he graduated from the Faculty of Mathematics and Mechanics of the Ural State University with a degree in Mathematics, and later began to work there. Since 2007, he is the dean of the faculty of continuing education of teachers of science.
| Alexander G. Gein | |
|---|---|
| Date of Birth | 1950 |
| Place of Birth | Sverdlovsk |
| A country |  USSR →  Russia |
| Place of work | Ural Federal University |
| Alma mater | Ural Federal University |
| Academic degree | Doctor of Physical and Mathematical Sciences Doctor of Education |
| Academic rank | Professor |
 External Images | |
|---|---|
 | Photo by Alexander Georgievich Hein |
Biography
Alexander Georgievich was born on January 29, 1950 in Sverdlovsk. In 1972 he graduated from the Faculty of Mathematics and Mechanics of the UFU with a degree in Mathematics, and later began to work there. Since 2007, he is the dean of the faculty of continuing education of teachers of science. At the university, he taught a number of basic mathematical courses at mathematical, mechanical, chemical and philosophical faculties, as well as several special courses, including “Lie algebras and the lattices of their subalgebras”, “Theoretical foundations of school informatics” [1] [2] .
The author of more than 170 scientific papers and two monographs in mathematics, computer science and pedagogy. Also, under his leadership, protected two candidate and one doctoral dissertation in pedagogy. He is a member of the editorial board of the journal Education and Science. Izvestia UrO RAO. He is a co-author of the school textbook “Mathematics. 5-6. Interlocutor Textbook ”, awarded at the All-Union School Books Competition in 1987 and included in the federal set of textbooks for educational institutions. Under the direction of Alexander Georgievich, 14 textbooks on computer science were created, which were also included in different years in the federal set of school textbooks [1] [2] .
Since 2001, is a full member of the Academy of Informatization of Education of the Russian Federation [1] [2] .
He was awarded the VDNKh medal for the development of a program-methodological complex for the school computer science course and the creation of the first computer science textbook recommended by the Ministry of Education of the RSFSR (1991). He has the title “Honorary Worker of Higher Professional Education of the Russian Federation” in 2008. An article about Alexander Georgievich was included in the encyclopedia “The Best People of Russia” in 2006 [1] [2] .
Major works
List of works
- Gein, AG; Shushpanov, MP Free 3-generated lattices with two semi-normal generators. (English) Zbl 06911225 Order 35, No. 2, 247-252 (2018). MSC: 06
- Gein, AG; Shushpanov, MP Lattices with defining relations close to distributivity. (English. Russian original) Zbl 06862421 Sib. Math. J. 58, No. 6, 983-989 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1267-1275 (2017). MSC: 06
- Gein, AG Lie algebras induced by a nonzero field derivation. (English. Russian original) Zbl 06834937 Sib. Math. J. 58, No. 5, 786-793 (2017); translation from Sib. Mat. Zh. 58, No. 5, 1015-1026 (2017). MSC: 17B
- Gein, AG; Shushpanov, Mikhail P. Modularity and distributivity of 3-generated lattices with special elements among generators. (English. Russian original) Zbl 1377.06004 Algebra Logic 56, No. 1, 1-12 (2017); translation from Algebra Logika 56, No. 1, 3-19 (2017). Reviewer: Christian Herrmann (Darmstadt) MSC: 06C05 06D05 06B25
- Gein, AG Finitely generated lattices with M-standard elements among generators. (English. Russian original) Zbl 1341.06009 Russ. Math. 60, No. 3, 14-17 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 3, 18-22 (2016). MSC: 06B25 06C05 06B05
- Geĭn, AG; Shushpanov, MP Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type. (English. Russian original) Zbl 1338.06007 Sib. Math. J. 56, No. 4, 631-636 (2015); translation from Sib. Mat. Zh. 56, No. 4, 798-804 (2015). Reviewer: Marcel Wild (Stellenbosch) MSC: 06C05 06B05 06B25 06C10
- Gein, AG; Shushpanov, MP Finitely generated lattices with completely modular elements among generators. (English. Russian original) Zbl 1314.06007 Algebra Logic 52, No. 6, 435-441 (2014); translation from Algebra Logika 52, No. 6, 657-666 (2013). MSC: 06B25 06C05 06B05
- Gein, AG; Shushpanov, MP Defining relations of a free modular lattice of rank 3. (English. Russian original) Zbl 1286.06012 Russ. Math. 57, No. 10, 59-61 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 10, 69-72 (2013). MSC: 06C05 06B25
- Geĭn, AG Finite-dimensional simple Lie algebras with subalgebra lattice of length 3. (English. Russian original) Zbl 1302.17016 Russ. Math. 56, No. 10, 62-65 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 10, 74-78 (2012). MSC: 17B20 17B50
- Gein, Alexander G .; Varea, Vicente R. Corrigenda: `Solvable Lie algebras and their subalgebra lattices'. (English) Zbl 0818.17004 Commun. Algebra 23, No. 1, 399-403 (1995). MSC: 17B30 17B05
- Gejn, Alexander G .; Varea, Vicente R. Solvable Lie algebras and their subalgebra lattices. (English) Zbl 0756.17004 Commun. Algebra 20, No. 8, 2203-2217 (1992). Reviewer: M. Boral (Adana) MSC: 17B30 17B05
- Gejn, AG; Tolstov, FL Solvability of algebras decomposable into the sum of two nilpotent subalgebras. (English. Russian original) Zbl 0706.17005 Sov. Math. 33, No. 9, 19-22 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 9 (328), 18-22 (1989). Reviewer: M.Kuznetsov MSC: 17B30 17B50
- Geĭn, AG Lie algebras with constraints on subalgebras. Textbook (Algebry Li s ogranicheniyami na podalgebry. Uchebnoe posobie.) (Russian) Zbl 1098.17500 Sverdlovsk: Ural'skij Gosudarstvennyj Universitet. 59 p. (1989). MSC: 17B05 17-01
- Gejn, AG Coatomic lattices and Lie algebras. (Russian) Zbl 0675.17002 Mat. Zap. 14, No. 3, 66-74 (1988). Reviewer: V. Artamonov MSC: 17B05 06C99
- Gejn, AG On modular subalgebras of Lie algebras. (Russian) Zbl 0668.17005 Mat. Zap. 14, No. 2, 27-33 (1987). Reviewer: G. Brown MSC: 17B05
- Gejn, AG Modular rule and relative complements in the lattice of subalgebras of a Lie algebra. (English. Russian original) Zbl 0624.17004 Sov. Math. 31, No. 3, 22-32 (1987); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 3 (298), 18-25 (1987). Reviewer: G. Brown MSC: 17B05
- Gejn, Aleksandr G. The distributive law in a lattice of subalgebras. (Russian) Zbl 0579.17003 Serdica 11, 171-179 (1985). Reviewer: VAArtamonov MSC: 17A60
- Gejn, Alexander Minimal noncommutative and minimal nonabelian algebras. (English) Zbl 0558.17008 Commun. Algebra 13, 305-328 (1985). Reviewer: ELStitzinger MSC: 17B20
- Gejn, AG Minimal nonabelian Lie algebras of prime characteristic. (English) Zbl 0563.17012 CR Acad. Bulg. Sci. 37, 1291-1293 (1984). Reviewer: G. Brown MSC: 17B50 17B20
- Gejn, AG Modular subalgebras and projections of locally finite-dimensional Lie algebras of characteristic zero. (Russian) Zbl 0549.17004 Algebraicheskie Sistemy, Mnogoobraziya, Reshetki Podsistem, Mat. Zap. 13, No. 3, 39-51 (1983). Reviewer: G. Brown MSC: 17B05 17B20 17B30
- Volkov, MV; Gejn, AG Identities in almost nilpotent Lie rings. (English) Zbl 0515.17009 Math. USSR, Sb. 46, 133-142 (1983). MSC: 17B99 17B30 08B15
- Gejn, AG On degrees of solvability of lattice-isomorphic Lie algebras. (Russian) Zbl 0507.17005 Algebraicheskie Sistemy i ikh Mnogoobraziya, Mat. Zap. 13, No. 1, 7-15 (1982). MSC: 17B30
- Volkov, MV; Gejn, AG Identities of almost nilpotent Lie rings. (Russian) Zbl 0494.17009 Mat. Sb., N. Ser. 118 (160), 132-142 (1982). MSC: 17B99 17B30 08B15
- Belov, AI; Gejn, AG Lie algebras admitting almost regular automorphisms. (English) Zbl 0498.17008 Sov. Math. 25, No. 8, 1-3 (1981). MSC: 17B40
- Belov, AI; Gejn, AG Lie algebras admitting an almost regular automorphism. (Russian) Zbl 0479.17006 Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 8 (231), 3-4 (1981). MSC: 17B40
- Gejn, AG; Mukhin, Yu. N. Complements to subalgebras of a Lie algebra. (Russian) Zbl 0479.17008 Issledovaniya Algebraicheskikh Sistem po Svojstvam ikh Podsistem, Mat. Zap. 12, No. 2, 24-48 (1980). MSC: 17B65 06C15
- Gejn, AG Projections of two-step nilpotent Lie algebras. (English) Zbl 0464.17002 Sov. Math. 24, No. 1, 12-17 (1980). MSC: 17B30
- Gejn, AG Projections of two by two nilpotent Lie algebras. (Russian) Zbl 0427.17008 Izv. Vyssh. Uchebn. Zaved., Mat. 1980, No. 1 (212), 12-15 (1980). MSC: 17B30
- Gejn, AG Dualisms of Lie algebras. (Russian) Zbl 0427.17003 Issled. Sovrem. Algebre, Mat. Zap. 11, No. 3, 44-47 (1979). MSC: 17B05
- Geĭn, AG On the lattice of subalgebras of a nilpotent Lie algebra. (Russian) Zbl 0434.17006 Issled. Sovrem. Algebre, Mat. Zap. 11, No. 1, 10-25 (1978). MSC: 17B30
- Gein, AG Projections of a Lie algebra of characteristic 0. (Russian) Zbl 0403.17003 Izv. Vyssh. Uchebn. Zaved., Mat. 1978, No. 4 (191), 26-31 (1978). MSC: 17B05
- Geĭn, AG Supersolvable Lie algebras and Dedekind's law in the lattice of subalgebras. (Russian) Zbl 0434.17005 Issled. Sovrem. Algebre, Mat. Zap. 10, No. 3, 33-42 (1977). MSC: 17B30
- Gejn, AG On projections of solvable Lie algebras. (Russian) Zbl 0409.17007 Mat. Zap., Sverdl. 10, No. 1, 3-15 (1976). MSC: 17B30 17B50 17B05
- Geĭn, AG Semimodular Lie algebras. (English) Zbl 0359.17001 Sib. Math. J. 17, 189-193 (1976). MSC: 17B05
- Geĭn, AG Semimodulare Liesche Algebren. (Russian) Zbl 0342.17010 Sib. Mat. Zh. 17, 243-248 (1976). Reviewer: Yu. A. Bakhturin MSC: 17B05
- Gejn, AG; Mukhin, Yu. N. Semiabelsche Lie-Algebren. (Russian) Zbl 0317.17003 Mat. Issled. 10, No. 1 (35), 78-93 (1975). MSC: 17B30
- Gein, AG Über Liesche Algebren, die von Idealen und abelschen Unteralgebren bedeckt werden. (Russian) Zbl 0322.17005 Mat. Zap., Sverdl. 9, No. 1, 11-14 (1974). MSC: 17B99 17B30
- Gejn, AG; Kuznetsov, SV; Mukhin, Yu. N. Über minimale nichtnilpotente Liesche Algebren. (Russian) Zbl 0369.17009 Mat. Zap., Sverdl. 8, No. 3, 18-27 (1973). MSC: 17B65 17B05
Publications
- Modularity and distributivity of 3-generated lattices with special elements among generators; A. G. Gein, M.P. Shushpanov; Algebra and Logic, 56: 1 (2017), 3–19;
- Lattices with defining relations close to distributivity; A. G. Gein, M.P. Shushpanov; Sib. mate. Zh., 58: 6 (2017), 1267–1275;
- Lie algebras induced by nonzero field differentiation; A. G. Gein; Sib. mate. Zh., 58: 5 (2017), 1015-1025;
- Finitely generated lattices with M-standard elements among generators; A. G. Gein; Izv. universities. Mat., 2016, No. 3, 18–22;
- Sufficient modularity conditions for a lattice with generating elements having properties of the modularity type; A. G. Gein, M.P. Shushpanov; Sib. mate. Zh., 56: 4 (2015), 798–804;
- Finitely generated lattices with completely modular elements among generators; A. G. Gein, M.P. Shushpanov; Algebra and Logic, 52: 6 (2013), 657–666;
- On the defining relations of a free modular lattice of rank 3; A. G. Gein, M.P. Shushpanov; Izv. universities. Mat., 2013, No. 10, 69–72;
- Finite-dimensional simple Lie algebras with a lattice of subalgebras of length 3; A. G. Gein; Izv. universities. Mat., 2012, No. 10, 74–78;
- On the solvability of algebras decomposable into the sum of two nilpotent subalgebras; A. G. Gein, F. L. Tolstov; Izv. universities. Mat., 1989, No. 9, 18–22;
- Modular law and relative complements in the lattice of subalgebras of a Lie algebra; A. G. Gein; Izv. universities. Mat., 1987, No. 3, 18–25;
- Identities of almost nilpotent Lie rings; M.V. Volkov, A.G. Gein; Mat. Sat, 118 (160): 1 (5) (1982), 132–142;
- Lie algebras admitting an almost regular automorphism; A.I. Belov, A.G. Gein; Izv. universities. Mat., 1981, No. 8, 3-4;
- Projections of two-step nilpotent Lie algebras; A. G. Gein; Izv. universities. Mat., 1980, No. 1, 12-15;
- Designing Lie algebras of characteristic 0; A. G. Gein; Izv. universities. Mat., 1978, No. 4, 26–31.
Notes
- ↑ 1 2 3 4 Ural State University in Biographies (2010) . Ural Federal University . Date of treatment September 19, 2018. Archived on February 13, 2018.
- ↑ 1 2 3 4 Gein, Alexander Georgievich . Refdb.ru. Date of appeal September 19, 2018.