Two methods for solving the linear problem of elimination

Chapters in this book

1. I-XX I
2. A word about Kurosh 1
3. Two methods for solving the linear problem of elimination 9
4. Strictly stratified algebras 17
5. Randomness: algebraic, statistical and complexity theory aspects 27
6. General quantum polynomials 35
7. Gröbner bases and involutive bases 49
8. Codimension growth and graded identities 57
9. On certain non-finitely based varieties of groups 77
10. G-connectedness of compact Kahler manifolds, II. Solvable quotients of Kahler groups 85
11. Finite groups with the same character tables, Drinfel’d algebras and Galois algebras 99
12. The profinite completion of certain torsion p-groups 113
13. Birational correspondences of a double cone 125
14. Groups with neighborhood conditions for certain lattices 135
15. Subalgebra membership problem and subalgebra standard basis 137
16. Graded algebras generated by Eulerian derivatives 145
17. Characterizations of projective spaces and hyperquadrics 155
18. Non additive Morita theory. A survey 167
19. Modular Lie algebras: new trends 181
20. On generic coverings of the plane 205
21. General version of standard bases in linear structures 215
22. Division rings generated by group rings and enveloping algebras 227
23. Some notes on universal algebraic geometry 237
24. Groups with all irreducible modules of finite degree 263
25. Schreier’s formulae for free Lie algebras, their applications and asymptotics 281
26. Conditional terms and their applications 291
27. Blow-ups of canonical singularities 301
28. On the growth of identities 319
29. Radical and residual classes of finite groups 331
30. Speciality and deformations of algebras 345
31. Infinite torsion groups arising as generalizations of the second Grigorchuk groups 357
32. Brauer groups of curves and reciprocity law in Brauer groups of their function fields 379
33. Mathematical systems 397