Postulates Defining a Field in Inverse Operations

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Authors

  • Department of Mathematics and Statistics, Aligarh University, Aligarh ,IN

DOI:

https://doi.org/10.18311/jims/1964/16839

Abstract

Rabinow [1] has defined a field in terms of inverse operations by a large number of postulates. In this paper we have defined a field in two-sided inverse binary compositions by means of six main postulates only. F. Husain and 31. A. Kazim [3] have given a number of characterizations of an abelian subtractive group in three postulates. We use some of those in the present paper to define a field in this novel way.

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Published

1964-12-01

How to Cite

Husain, F. (1964). Postulates Defining a Field in Inverse Operations. The Journal of the Indian Mathematical Society, 28(3-4), 151–154. https://doi.org/10.18311/jims/1964/16839