25 июл. 2021 г. · A ring R is said to be semiprimary if R/J(R) is semisimple and J(R) is nilpotent, and R is said to be semiperfect if R/J(R) is semisimple and ... |
29 янв. 2013 г. · A ring is semiperfect if all finitely generated modules have projective covers. Is there a semiperfect ring with zero left socle and nonzero ... |
28 сент. 2016 г. · A ring R is semiperfect by definition, if R/rad(R) is semisimple and all idempotents of R/rad(R) can be lifted to idempotents in R. I wonder ... |
6 июн. 2021 г. · I know that R is a semiperfect ring iff R decomposes to a direct sum of right R-modules and each of them has got only one maximal submodule. I ... |
12 дек. 2023 г. · Assume that R is a semiperfect ring in characteristic p,i.e the frobenius is surjective on R. I think one can prove that an etale cover of R ... |
25 янв. 2015 г. · I have my question when R is semiperfect: is Re (isomorphic to) a direct summand of "every" generator of the left R-modules? Thanks in advance! |
26 мая 2024 г. · Let R be a semiperfect ring such that the projective cover of every simple right module is injective. Then R must be right self-injective. |
2 сент. 2021 г. · A book that covers all of these topics except semiregular rings is T.Y. Lam's First course in noncommutative rings. |
25 дек. 2023 г. · Then, is R also a semiperfect ring? (Clearly, R is Noetherian). If this is not true in general, what if I also assumed S is commutative ... |
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