• A NOTE ON GENERATING NEAR FIELDS EFFICIENTLY: THEOREMS FROM ALGEBRAIC K-THEORY (G-NF-E-TFA-KT)
Abstract
In this paper we studied and observed Several of the fundamental theorems about algebraic K0, and K1 are concerned with finding uni-near-field elements, that is, elements of a projective Near–Field which generate a free summand-Near Field. In this paper we use the notion of a basic element (in the terminology of Swan [22]) to extend these theorems to the context of finitely generated Near - Fields. Our techniques allow a simplification and strengthening of existing results even in the projective case.
Keywords
Algebraic, Uni-Near Field, Summand Near Field, Noetherian regular near field, Polynomial Near Field, Projective Near field, Algebraic K-Theory, Generating Near Field, torsion Free Near Field.
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