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- W2358177525 abstract "The rings with strongly symmetric endomorphisms were investigated.Letα be an endomorphism of ring R.Ring Ris known as strong rightα-symmetric if abα(c)=0implies acb=0for any a,b,c∈R.The relationships between strongα-symmetric ring and symmetric,strongα-reversible or strongα-semicommutative ring were discussed,and some extensions of strongα-symmetric rings were studied.It is proved that 1)Ring Ris strongα-symmetric if and only if Ris symmetric andα-compatible;2)Ring Ris strongα-symmetric if and only if R[x;α]is strongα-symmetric;3)Ifαis an automorphism of right Ore ring R,then Ris strongα-symmetric if and only if the classical right quotient ring Q(R)of Ris strongα-symmetric." @default.
- W2358177525 created "2016-06-24" @default.
- W2358177525 creator A5072070083 @default.
- W2358177525 date "2014-01-01" @default.
- W2358177525 modified "2023-09-24" @default.
- W2358177525 title "Rings with Strongly Symmetric Endomorphisms and Their Extensions" @default.
- W2358177525 hasPublicationYear "2014" @default.
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