@InProceedings{   Sweedler:AAECC19:93,
  Author        = "Sweedler, Moss",
  Editor        = "Cohen, G{\'e}rard and Mora, Teo and Moreno, Oscar",
  Abstract      = "Suppose I is a prime ideal in k[X1, ...,Xn] with a given finite generating set and k(q1,...,qm) is a finitely generated subfield of the field of fractions Z of k[X1, ..., Xn]/I and c is an element of Z. We present Groebner basis techniques to determine:if c is transcendental over k(q1,...,qm),a minimal polynomial for c if c is algebraic over k(q1,...,qm).the algebraic or transcendental nature of Z over k(q1,...,qm).",
  Address       = "Berlin, Heidelberg",
  BookTitle     = "Proc. of AAECC'93",
  date-added    = "2020-10-26 12:44:02 +0100",
  date-modified = "2020-11-27 11:09:11 +0100",
  ISBN          = "978-3-540-47630-6",
  Pages         = "66--75",
  Publisher     = "Springer Berlin Heidelberg",
  Title         = "Using Groebner bases to determine the algebraic and transcendental nature of field extensions: Return of the killer tag variables",
  Year          = "1993",
  File          = "Using Groebner bases to determine the algebraic and transcendental nature of field extensions - Return of the killer tag variables - Sweedler1993\_Chapter\_UsingGroebnerBasesToDetermineT - a - p.pdf"
}

@InProceedings{ Sweedler:AAECC19:93, Author = "Sweedler, Moss", Editor = "Cohen, G{\'e}rard and Mora, Teo and Moreno, Oscar", Abstract = "Suppose I is a prime ideal in k[X1, ...,Xn] with a given finite generating set and k(q1,...,qm) is a finitely generated subfield of the field of fractions Z of k[X1, ..., Xn]/I and c is an element of Z. We present Groebner basis techniques to determine:if c is transcendental over k(q1,...,qm),a minimal polynomial for c if c is algebraic over k(q1,...,qm).the algebraic or transcendental nature of Z over k(q1,...,qm).", Address = "Berlin, Heidelberg", BookTitle = "Proc. of AAECC'93", date-added = "2020-10-26 12:44:02 +0100", date-modified = "2020-11-27 11:09:11 +0100", ISBN = "978-3-540-47630-6", Pages = "66--75", Publisher = "Springer Berlin Heidelberg", Title = "Using Groebner bases to determine the algebraic and transcendental nature of field extensions: Return of the killer tag variables", Year = "1993", File = "Using Groebner bases to determine the algebraic and transcendental nature of field extensions - Return of the killer tag variables - Sweedler1993_Chapter_UsingGroebnerBasesToDetermineT - a - p.pdf" }