Local Field

A Field which is complete with respect to a discrete Valuation is called a local field if its Field ofResidue Classes is Finite. The Hasse Principle is one of the chief applications oflocal field theory.

References

Iyanaga, S. and Kawada, Y. (Eds.). ``Local Fields.'' §257 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 811-815, 1980.

• Characteristic (Euler)
• Characteristic Factor
• Characteristic (Field)
• Characteristic Function
• Squareful
• Square Gyrobicupola
• Square Integrable
• Square Knot
• Square Matrix
• Square Number
• Square Orthobicupola
• Square Packing
• Square Polyomino
• Square Pyramid
• Square Pyramidal Number
• Square Quadrants
• Square Root
• Square Root Inequality
• Square Root Method
• Square Triangular Number
• Square Wave
• Squaring
• Squeezing Theorem
• s-Run
• S-Signature