plural of field extension

(algebra, field theory, algebraic geometry) Any pair of fields, denoted L/K, such that K is a subfield of L.

(algebra, ring theory) The smallest field in which a given ring can be embedded.

plural of field of fractions

(algebra, field theory) A field that contains no proper subfields.

plural of field book

A reference book containing practical information prepared by, or intended for, people doing fieldwork.

plural of splitting field

plural of near field

(physics) A theoretical field associated with electroweak symmetry breaking, the quantum of which is the Higgs boson; interaction with this field is hypothesised to give elementary particles their mass.