A Note on Lifting of Idempotents

Exploring the Lifting of Idempotents in Rings

Authors

  • Shelly Garg
  • Harpreet K. Grover

Keywords:

lifting, idempotents, ideal, ring, identity, modulo, characterization, results

Abstract

Let I be an ideal of a ring R with identity. We say that idempotents modulo I can be lifted if for every a ∈ R such that a2 – a ∈ I there exists an idempotent e ∈ R such that e – a ∈ I. In this review, we will discuss various results about lifting idempotents and characterization of rings in terms of this property.

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Published

2018-01-01

How to Cite

[1]
“A Note on Lifting of Idempotents: Exploring the Lifting of Idempotents in Rings”, JASRAE, vol. 14, no. 2, pp. 1856–1859, Jan. 2018, Accessed: Mar. 16, 2025. [Online]. Available: https://ignited.in/index.php/jasrae/article/view/7475

Issue

Vol. 14 No. 2 (2018): Journal of Advances and Scholarly Researches in Allied Education (JASRAE)

Section

Articles

How to Cite

[1]
“A Note on Lifting of Idempotents: Exploring the Lifting of Idempotents in Rings”, JASRAE, vol. 14, no. 2, pp. 1856–1859, Jan. 2018, Accessed: Mar. 16, 2025. [Online]. Available: https://ignited.in/index.php/jasrae/article/view/7475