Right $\pi$-Regular Semirings

• Published in: Sarajevo journal of mathematics Vol. 2; no. 1; pp. 3 - 9
• Main Authors: Gupta, Vishnu, Chaudhari, J. N.
• Format: Journal Article
• Language: English
• Published: 12.06.2024

We prove the following results (1) If $R$ is a right and left $\pi$-regular semiring then $R$ is a $\pi$-regular semiring. (2) If $R$ is an additive cancellative semiprime, right Artinian or right $\pi$-regular right Noetherian semiring then $R$ is semisimple. (3) Let $I$ be a partitioning ideal of...