Shemyakova, E. S. Involutive divisions for effective involutive algorithms. (Russian, English) Zbl 1080.68116 Fundam. Prikl. Mat. 9, No. 3, 237-253 (2003); translation in J. Math. Sci., New York 135, No. 5, 3425-3436 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 68W30 13P10 13P99 PDF BibTeX XML Cite \textit{E. S. Shemyakova}, Fundam. Prikl. Mat. 9, No. 3, 237--253 (2003; Zbl 1080.68116); translation in J. Math. Sci., New York 135, No. 5, 3425--3436 (2006)
Shabat, G. B. Imaginary quadratic solutions of anti-Vandermonde systems in 4 unknowns and the Galois orbits of trees of diameter 4. (Russian, English) Zbl 1068.05016 Fundam. Prikl. Mat. 9, No. 3, 229-236 (2003); translation in J. Math. Sci., New York 135, No. 5, 3420-3424 (2006). Reviewer: Elena M. Kreines (Moskva) MSC: 05C05 11D25 PDF BibTeX XML Cite \textit{G. B. Shabat}, Fundam. Prikl. Mat. 9, No. 3, 229--236 (2003; Zbl 1068.05016); translation in J. Math. Sci., New York 135, No. 5, 3420--3424 (2006)
Chupaeva, I. Yu. Automated proving and analysis of geometric theorems in coordinate-free form by using the anticommutative Gröbner basis method. (Russian, English) Zbl 1073.68098 Fundam. Prikl. Mat. 9, No. 3, 213-228 (2003); translation in J. Math. Sci., New York 135, No. 5, 3409-3419 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 68W30 13P10 68T15 PDF BibTeX XML Cite \textit{I. Yu. Chupaeva}, Fundam. Prikl. Mat. 9, No. 3, 213--228 (2003; Zbl 1073.68098); translation in J. Math. Sci., New York 135, No. 5, 3409--3419 (2006)
Semenov, A. S. Pair analysis of involutive divisions. (Russian, English) Zbl 1080.68115 Fundam. Prikl. Mat. 9, No. 3, 199-212 (2003); translation in J. Math. Sci., New York 135, No. 5, 3400-3408 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 68W30 13P10 13P99 PDF BibTeX XML Cite \textit{A. S. Semenov}, Fundam. Prikl. Mat. 9, No. 3, 199--212 (2003; Zbl 1080.68115); translation in J. Math. Sci., New York 135, No. 5, 3400--3408 (2006)
Pshenitsyna, O. A. Factor and term ranks for matrix union over semirings. (Russian, English) Zbl 1073.15001 Fundam. Prikl. Mat. 9, No. 3, 175-197 (2003); translation in J. Math. Sci., New York 135, No. 5, 3384-3399 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 15A04 15A03 PDF BibTeX XML Cite \textit{O. A. Pshenitsyna}, Fundam. Prikl. Mat. 9, No. 3, 175--197 (2003; Zbl 1073.15001); translation in J. Math. Sci., New York 135, No. 5, 3384--3399 (2006)
Platonov, A. N. Isoperimetric functions and embeddings of groups. (Russian, English) Zbl 1073.20028 Fundam. Prikl. Mat. 9, No. 3, 165-173 (2003); translation in J. Math. Sci., New York 135, No. 5, 3377-3382 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 20F06 20F65 20F05 20E07 PDF BibTeX XML Cite \textit{A. N. Platonov}, Fundam. Prikl. Mat. 9, No. 3, 165--173 (2003; Zbl 1073.20028); translation in J. Math. Sci., New York 135, No. 5, 3377--3382 (2006)
Pinus, A. G.; Zhurkov, S. V. The scales of computability potentials of finite algebras: results and problems. (Russian, English) Zbl 1071.08001 Fundam. Prikl. Mat. 9, No. 3, 145-164 (2003); translation in J. Math. Sci., New York 135, No. 5, 3363-3376 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 08A35 08A40 08A70 03C05 PDF BibTeX XML Cite \textit{A. G. Pinus} and \textit{S. V. Zhurkov}, Fundam. Prikl. Mat. 9, No. 3, 145--164 (2003; Zbl 1071.08001); translation in J. Math. Sci., New York 135, No. 5, 3363--3376 (2006)
Ovchinnikov, A. I. Section of a differential spectrum and factorization-free computations. (Russian, English) Zbl 1073.12004 Fundam. Prikl. Mat. 9, No. 3, 133-144 (2003); translation in J. Math. Sci., New York 135, No. 5, 3355-3362 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 12H05 PDF BibTeX XML Cite \textit{A. I. Ovchinnikov}, Fundam. Prikl. Mat. 9, No. 3, 133--144 (2003; Zbl 1073.12004); translation in J. Math. Sci., New York 135, No. 5, 3355--3362 (2006)
Mikhalev, A. V.; Pinchuk, I. A. The central closure of simple “strange” Lie superalgebras extended over a commutative algebra. (Russian, English) Zbl 1072.17010 Fundam. Prikl. Mat. 9, No. 3, 125-131 (2003); translation in J. Math. Sci., New York 135, No. 5, 3350-3354 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 17B55 PDF BibTeX XML Cite \textit{A. V. Mikhalev} and \textit{I. A. Pinchuk}, Fundam. Prikl. Mat. 9, No. 3, 125--131 (2003; Zbl 1072.17010); translation in J. Math. Sci., New York 135, No. 5, 3350--3354 (2006)
Marenich, V. E. Conjugation properties in incidence algebras. (Russian, English) Zbl 1071.06002 Fundam. Prikl. Mat. 9, No. 3, 111-123 (2003); translation in J. Math. Sci., New York 135, No. 5, 3341-3349 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 06A07 16S50 PDF BibTeX XML Cite \textit{V. E. Marenich}, Fundam. Prikl. Mat. 9, No. 3, 111--123 (2003; Zbl 1071.06002); translation in J. Math. Sci., New York 135, No. 5, 3341--3349 (2006)
Korepanov, A. I. Free nonassociative supercommutative algebras. (Russian, English) Zbl 1072.17002 Fundam. Prikl. Mat. 9, No. 3, 103-109 (2003); translation in J. Math. Sci., New York 135, No. 5, 3336-3340 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 17A50 PDF BibTeX XML Cite \textit{A. I. Korepanov}, Fundam. Prikl. Mat. 9, No. 3, 103--109 (2003; Zbl 1072.17002); translation in J. Math. Sci., New York 135, No. 5, 3336--3340 (2006)
Zobnin, A. I. On standard bases in rings of differential polynomials. (Russian, English) Zbl 1073.16022 Fundam. Prikl. Mat. 9, No. 3, 89-102 (2003); translation in J. Math. Sci., New York 135, No. 5, 3327-3335 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 16S36 12H05 16W25 13P10 16W80 16D25 PDF BibTeX XML Cite \textit{A. I. Zobnin}, Fundam. Prikl. Mat. 9, No. 3, 89--102 (2003; Zbl 1073.16022); translation in J. Math. Sci., New York 135, No. 5, 3327--3335 (2006)
Daniyarova, E. Yu.; Kazachkov, I. V.; Remeslennikov, V. N. Algebraic geometry over free metabelian Lie algebras. II: Finite-field case. (Russian, English) Zbl 1072.17005 Fundam. Prikl. Mat. 9, No. 3, 65-87 (2003); translation in J. Math. Sci., New York 135, No. 5, 3311-3326 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 17B01 PDF BibTeX XML Cite \textit{E. Yu. Daniyarova} et al., Fundam. Prikl. Mat. 9, No. 3, 65--87 (2003; Zbl 1072.17005); translation in J. Math. Sci., New York 135, No. 5, 3311--3326 (2006)
Daniyarova, È. Yu.; Kazachkov, I. V.; Remeslennikov, V. N. Algebraic geometry over free metabelian Lie algebras. I: \(U\)-algebras and universal classes. (Russian, English) Zbl 1072.17004 Fundam. Prikl. Mat. 9, No. 3, 37-63 (2003); translation in J. Math. Sci., New York 135, No. 5, 3292-3310 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 17B01 PDF BibTeX XML Cite \textit{È. Yu. Daniyarova} et al., Fundam. Prikl. Mat. 9, No. 3, 37--63 (2003; Zbl 1072.17004); translation in J. Math. Sci., New York 135, No. 5, 3292--3310 (2006)
Grinshpon, S. Ya.; Mordovskoi, A. K. Almost isomorphism of Abelian groups and determinability of Abelian groups by their subgroups. (Russian, English) Zbl 1073.20046 Fundam. Prikl. Mat. 9, No. 3, 21-36 (2003); translation in J. Math. Sci., New York 135, No. 5, 3281-3291 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 20K30 20K27 20E15 PDF BibTeX XML Cite \textit{S. Ya. Grinshpon} and \textit{A. K. Mordovskoi}, Fundam. Prikl. Mat. 9, No. 3, 21--36 (2003; Zbl 1073.20046); translation in J. Math. Sci., New York 135, No. 5, 3281--3291 (2006)
Bogdanov, I. I. Hidden matrix semirings. (Russian, English) Zbl 1073.16048 Fundam. Prikl. Mat. 9, No. 3, 13-19 (2003); translation in J. Math. Sci., New York 135, No. 5, 3276-3280 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 16Y60 16S50 PDF BibTeX XML Cite \textit{I. I. Bogdanov}, Fundam. Prikl. Mat. 9, No. 3, 13--19 (2003; Zbl 1073.16048); translation in J. Math. Sci., New York 135, No. 5, 3276--3280 (2006)
Alieva, A. A. Invertibility of linear \(f\)-order preservers. (Russian, English) Zbl 1073.15002 Fundam. Prikl. Mat. 9, No. 3, 3-11 (2003); translation in J. Math. Sci., New York 135, No. 5, 3269-3275 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 15A04 06F20 PDF BibTeX XML Cite \textit{A. A. Alieva}, Fundam. Prikl. Mat. 9, No. 3, 3--11 (2003; Zbl 1073.15002); translation in J. Math. Sci., New York 135, No. 5, 3269--3275 (2006)