A note on radicals of associative rings and alternative rings

S. Tumurbat; T. Khulan; D. Dayantsolmon;


Let $U$ be a universal subclass of a universal class $V$ of rings. We investigate connections of radicals in $U$ and $V$. In \cite{T} we defined $T$ and $T_s$. Let $\gamma \in \{ T, T_s \}$ and let $A$ be a commutative ring with minimum condition on ideals. We give a sufficient and necessary condition when $A$ is $\gamma$-semisimple.

Vol. 23 (2022), No. 1, pp. 175-182
DOI: 10.18514/MMN.2022.2601

Download: MMN-2601