• A NOTE ON GENERATING NEAR FIELDS EFFICIENTLY: THEOREMS FROM ALGEBRAIC K-THEORY (G-NF-E-TFA-KT)

N V Nagendram*; Dr T. V. Pradeep Kumar; Dr Y. Venkateswara Reddy

• A NOTE ON GENERATING NEAR FIELDS EFFICIENTLY: THEOREMS FROM ALGEBRAIC K-THEORY (G-NF-E-TFA-KT)

N V Nagendram*, Dr T. V. Pradeep Kumar, Dr Y. Venkateswara Reddy

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.

Full Text:

PDF

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Username
Password
Remember me