Small Cofinite Irreducibles
نویسندگان
چکیده
منابع مشابه
Roots and Irreducibles
This handout discusses relationships between roots of irreducible polynomials and field extensions. Throughout, the letters K, L, and F are fields and Fp = Z/(p) is the field of p elements. When f(X) ∈ K[X], we will say f(X) is a polynomial “over” K. Sections 2 and 3 describe some general features of roots of polynomials. In the later sections we look at roots to polynomials over the finite fie...
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A computable ring is a ring equipped with mechanical procedure to add and multiply elements. In most natural computable integral domains, there is a computational procedure to determine if a given element is prime/irreducible. However, there do exist computable UFDs (in fact, polynomial rings over computable fields) where the set of prime/irreducible elements is not computable. Outside of the c...
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In this paper we study subalgebras A of the algebra D(X) of differential operators on a smooth variety X which are big in the following sense: using the order of a differential operator, the ring D(X) is equipped with a filtration. Its associated graded algebra D(X) is commutative and can be regarded as the set of regular functions on the cotangent bundle ofX . The subalgebra A inherits a filtr...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7105