|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, Number 3, Pages 3–11
(Mi basm432)
|
|
|
|
Research articles
On ($\sigma$-$\delta$)-rings over Noetherian rings
Vijay Kumar Bhata, Meeru Abrola, Latif Hannab, Maryam Alkandarib a Department of Mathematics, SMVD University, Katra, India-182320
b Department of Mathematics, Kuwait University, Kuwait
Abstract:
For a ring $R$, an endomorphism $\sigma$ of $R$ and a $\sigma$-derivation $\delta$ of $R$, we introduce ($\sigma$-$\delta$)-ring and ($\sigma$-$\delta$)-rigid ring which are the generalizations of $\sigma(*)$-rings and $\delta$-rings, and investigate their properties. Moreover, we prove that a ($\sigma$-$\delta$)-ring is $2$-primal and its prime radical is completely semiprime.
Keywords and phrases:
endomorphism, derivation, $\sigma(*)$-rings, $\delta$-ring, $2$-primal ring, ($\sigma$-$\delta$)-ring, ($\sigma$-$\delta$)-rigid ring.
Received: 12.01.2015
Citation:
Vijay Kumar Bhat, Meeru Abrol, Latif Hanna, Maryam Alkandari, “On ($\sigma$-$\delta$)-rings over Noetherian rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 3, 3–11
Linking options:
https://www.mathnet.ru/eng/basm432 https://www.mathnet.ru/eng/basm/y2016/i3/p3
|
Statistics & downloads: |
Abstract page: | 133 | Full-text PDF : | 37 | References: | 27 |
|