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Article Abstract

International Journal of Trends in Emerging Research and Development, 2026;4(2):53-56

Idempotency of Transfinite Cardinal Numbers

Author : Dr. BS Satpute

Abstract

For transfinite cardinal number α, using Zorn’s lemma we have given a simple proof which is understandable to undergraduate students, of the result α + α = αα = α, that is, Idempotency for addition and multiplication.

Keywords

Idempotency, Zorn’s lemma, Transfinite Cardinal Numbers, addition, multiplication