【摘要】：通過在環(huán)R中引進(jìn)n-核對合元與n-正規(guī)元的概念,給出n-核對合元的刻畫及Moore-Penrose可逆的n-正規(guī)元的性質(zhì).結(jié)果表明,若a∈R~■,m,n∈N,則a是n-核對合元當(dāng)且僅當(dāng)(a~*)~n=(a~#)~n、當(dāng)且僅當(dāng)(a~*)~na~m=(a~■)~na~m、當(dāng)且僅當(dāng)(a~*)~na~m=a~m(a~■)~n、當(dāng)且僅當(dāng)a~m(a~*)~n=(a~■)~na~m.
[Abstract]:By introducing the concepts of n-verifier and n-normal element in ring R, the characterization of n-verifier and the properties of Moore-Penrose reversible n-normal element are given. The results show that if a 鈭，

本文編號：2481190