The Journal of the Indian Mathematical Society

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Note on Generalized Commutative Rings


Affiliations
1 University of Delhi, Delhi-7, India
2 B-73, Rama Krishna Puram, New Delhi-22, India
     

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Belluce-Herstein-Jain have defined [1] a ring R to be a generalized commutative ring (written as g.c. ring) if given a, b ∈ R there exist positive integers m = m(a, b), n =n(a, b) such that (ab)m = (ba)n.
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  • Note on Generalized Commutative Rings

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Authors

S. K. Jain
University of Delhi, Delhi-7, India
P. K. Menon
B-73, Rama Krishna Puram, New Delhi-22, India

Abstract


Belluce-Herstein-Jain have defined [1] a ring R to be a generalized commutative ring (written as g.c. ring) if given a, b ∈ R there exist positive integers m = m(a, b), n =n(a, b) such that (ab)m = (ba)n.