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008 150903s2008 ne | o |||| 0|eng d
020 _a9781402069475
_99781402069475
024 7 _a10.1007/9781402069475
_2doi
035 _avtls000335836
039 9 _a201509030241
_bVLOAD
_c201404300307
_dVLOAD
_y201402041334
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA161.A-161.Z
100 1 _aLevin, Alexander.
_eautor
_9310213
245 1 0 _aDifference Algebra /
_cby Alexander Levin.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2008.
300 _axI, 521 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aAlgebra and Applications ;
_v8
500 _aSpringer eBooks
505 0 _aPreliminaries -- Basic Concepts of Difference Algebra -- Difference Modules -- Difference Field Extensions -- Compatibility, Replicability, and Monadicity -- Difference Kernels over Partial Difference Fields. Difference Valuation Rings -- Systems of Algebraic Difference Equations -- Elements of the Difference Galois Theory.
520 _aDifference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrew the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. This book reflects the contemporary level of difference algebra; it contains a systematic study of partial difference algebraic structures and their applications, as well as the coverage of the classical theory of ordinary difference rings and field extensions. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. It will be also of interest to researchers in computer algebra, theory of difference equations and equations of mathematical physics. The book is self-contained; it requires no prerequisites other than knowledge of basic algebraic concepts and mathematical maturity of an advanced undergraduate.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781402069468
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4020-6947-5
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c283005
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