The Journal of the Indian Mathematical Society

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A Class of Quasi-Fields Having Isomorphic Additive &Multiplicative Groups


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1 A-46, D I I Flats, Ring Road, Moti Bagh, New Delhi, India
     

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By a quasi-field wo mean a set Q in which an addition and a multiplication are defined such that 1. Addition is an abelian group, 2. Multiplication is an abelian group, 3. The quasi-distributive law

 a(b + c) + a = ab + ac

holds for all elements a, b, c ∈ Q.


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  • A Class of Quasi-Fields Having Isomorphic Additive &Multiplicative Groups

Abstract Views: 242  |  PDF Views: 0

Authors

P. Kesava Menon
A-46, D I I Flats, Ring Road, Moti Bagh, New Delhi, India

Abstract


By a quasi-field wo mean a set Q in which an addition and a multiplication are defined such that 1. Addition is an abelian group, 2. Multiplication is an abelian group, 3. The quasi-distributive law

 a(b + c) + a = ab + ac

holds for all elements a, b, c ∈ Q.