02731nam 2200589 450 991082787220332120170918221200.01-4704-0098-7(CKB)3360000000464705(EBL)3113797(SSID)ssj0000889152(PQKBManifestationID)11549045(PQKBTitleCode)TC0000889152(PQKBWorkID)10874654(PQKB)11539256(MiAaPQ)EBC3113797(RPAM)1123096(PPN)195414047(EXLCZ)99336000000046470520140903h19941994 uy 0engur|n|---|||||txtccrPrime ideals in skew and q-skew polynomial rings /K.R. Goodearl, E.S. LetzterProvidence, Rhode Island :American Mathematical Society,1994.©19941 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 109, Number 521"May 1994, Volume 109, Number 521 (first of 5 numbers)."0-8218-2583-6 Includes bibliographical references.""Contents""; ""1. Introduction""; ""2. Preliminaries for S = R[y; Ï?,Î?]""; ""3. Tau-delta-prime coefficient rings""; ""4. Each prime ideal of S is associated to a unique Ï?-orbit in specR""; ""5. Annihilator primes and induced bimodules""; ""6. Prime ideals in quadratic (â€?1)-skew extensions""; ""7. Prime ideals in S associated to infinite orbits. The general case""; ""8. Prime ideals in S associated to infinite orbits. The q-skew case""; ""9. Prime ideals in S associated to finite orbits. The general case""; ""10. Prime ideals in S associated to finite orbits. The q-skew case""""11. Classification of prime ideals in q-skew extensions""""12. Irreducible finite dimensional representations of q-skew extensions""; ""13. Quantized Weyl algebras""; ""14. Prime factors of coordinate rings of quantum matrices""; ""15. Chains of prime ideals in iterated Ore extensions""; ""References""Memoirs of the American Mathematical Society ;Volume 109, Number 521.Ideals (Algebra)Polynomial ringsNoetherian ringsIdeals (Algebra)Polynomial rings.Noetherian rings.512/.4Goodearl K. R.57894Letzter E. S(Edward S.),1958-MiAaPQMiAaPQMiAaPQBOOK9910827872203321Prime ideals in skew and q-skew polynomial rings3932055UNINA