Speciality:
01.01.00 (Mathematics)
Birth date:
30.05.1979
Phone: +7 (903) 019 31 29
E-mail: Keywords: linear recurring sequence, standard basis, concordant standard basis, shift register.
UDC: 512.714, 512.536, 512.8, 519.725
Subject:
Algebraic coding theory, polylinear recurring sequences, standard bases (Groebner–Shirshov bases).
Main publications:
Gorbatov E. V. Standartnyi bazis polinomialnogo ideala nad kommutativnym artinovym tsepnym koltsom // Diskretnaya matematika, 16 (1) (2004), s. 52–78.
Gorbatov E. V. Standartnye bazisy soglasovannye s normirovaniem i vychisleniya v idealakh i polilineinykh rekurrentakh // Trudy mezhdunarodnoi algebraicheskoi konferentsii posvyaschennoi 250-letiyu moskovskogo universiteta, Fundamentalnaya i prikladnaya matematika, 10 (3) (2004) c. 23–72.
Gorbatov E. V., Mikhailov D. A., Mikhalev A. V., Nechaev A. A. Standartnye bazisy polinomialnykh idealov nad konechnym kommutativnym tsepnym koltsom i ikh prilozheniya // Trudy konferentsii "Matematika i bezopasnost informatsionnykh tekhnologii", MGU, oktyabr 2003, M.: MTsNMO, (2004), s. 202–217.
Gorbatov E. V. Standartnye bazisy soglasovannye s normirovaniem i
vychisleniya v idealakh i polilineinykh rekurrentakh // Trudy mezhdunarodnoi algebraicheskoi konferentsii posvyaschennoi 250-letiyu moskovskogo universiteta, Fundamentalnaya i prikladnaya matematika, 10, (3) (2004), s. 23–71.
Gorbatov E. V. Multiplikativnye poryadki na odnochlenakh // Trudy mezhdunarodnyi seminar po kompyuternoi algebre i informatike, posvyaschennogo 30-letiyu laboratorii vychislitelnykh metodov MGU, Fundamentalnaya i prikladnaya matematika, (2005).