(algebra, field theory) A field K such that every irreducible polynomial over K has distinct roots.

(algebra, Galois theory) (of a polynomial) Given a polynomial p over a field K, the smallest extension field L of K such that p, as a polynomial over L, decomposes into linear factors (polynomials of degree 1); (of a set of polynomials) given a set P of polynomials over K, the smallest extension field of K over which every polynomial in P decomposes into linear factors.

ice formed in the polar seas in large surfaces, distinguished from icebergs

An area of land or seabed where natural gas can be extracted in commercially viable quantities.

To keep the military campaign open; to maintain one's ground.

plural of field event

plural of field engineer

A conventicle, or unauthorized religious meeting.

plural of field meeting

plural of field bed