urinary-tract 发表于 2025-3-21 18:24:14
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2297-0215 apan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference波动 发表于 2025-3-22 06:18:56
Good Conditions for the Total, implies that . is a direct sum of injective modules. We conjecture that such rings must be right Noetherian and prove that they (and all their homomorphic images) are right Goldie rings. Further, the conjecture is confirmed in a number of cases.Exterior 发表于 2025-3-22 12:45:58
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CS-Property of Direct Sums of Uniform Modules, modules is CS for the given direct sum. In the case when each uniform module has a local endomorphism ring, this problem has been studied by several authors, e.g., Baba-Harada , Dung , Harada-Oshiro .很是迷惑 发表于 2025-3-22 18:03:10
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Semicentral Reduced Algebras,d triangular matrix algebras and semicentral reduced algebras are surveyed. New results are provided for endomorphism algebras of modules and for semicentral reduced algebras. In particular, semicentral reduced rings which are right FPF, right nonsingular, or left perfect are described.pessimism 发表于 2025-3-23 07:42:36
Some Results on Skew Polynomial Rings over a Reduced Ring,olynomials in . over . with the usual addition and with new multiplication defined by . = . (.). for each . ∈ . (see , ). A left (right) annihilator of a subset . of . is defined by ..(.) = {. ∈ . | .. 0}(..(.) = {. ∈. | ..= 0}). Recall that . is a . ring if it has no nonzero nilpotent element