books
selected works of a. i. shirshov
p this book presents translations of selected works of the famous russian mathematician a.i. shirshov 1921 1981 . he was a pioneer in several directions of associative lie jordan and alternative algebras as well as groups and projective planes . his name is associated with notions and results on grobner shirshov bases the composition diamond lemma the shirshov witt theorem the lazard shirshov elimination process shirshov s height theorem lyndon shirshov words hall shirshov bases shirshov s theorem on the kurosh problem for alternative and jordan algebras and shirshov s theorem on the speciality of jordan algebras with two generators . shirshov s ideas were used by his student efim zelmanov for the solution of the restricted burnside problem . several famous algebraists provide in this book detailed comments on the impact of shirshov s work on current algebra .
hardcover springer verlag 2009 isbn13 9783764388577 isbn10 3764388579
book type nf isbn 13 9783764388577 number of pages 240 publisher springer verlag release date 62135769600000