The Journal of the Indian Mathematical Society

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Postulates Defining a Field in Inverse Operations


Affiliations
1 Department of Mathematics and Statistics, Aligarh University, Aligarh, India
     

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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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  • Postulates Defining a Field in Inverse Operations

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Authors

F. Husain
Department of Mathematics and Statistics, Aligarh University, Aligarh, India

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.