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RISS 인기검색어
- 검색키워드
- 저자 : Jiapei Tang (검색결과 2 건)
- 무료
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- 유료
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THE APPLICATIONS OF ADDITIVE MAP PRESERVING IDEMPOTENCE IN GENERALIZED INVERSE
Yao, Hongmei,Fan, Zhaobin,Tang, Jiapei Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
Suppose R is an idempotence-diagonalizable ring. Let n and m be two arbitrary positive integers with $n\;{\geq}\;3$. We denote by $M_n(R)$ the ring of all $n{\times}n$ matrices over R. Let ($J_n(R)$) be the additive subgroup of $M_n(R)$ generated additively by all idempotent matrices. Let ($D=J_n(R)$) or $M_n(R)$. In this paper, by using an additive idem potence-preserving result obtained by Coo (see [4]), I characterize (i) the additive preservers of tripotence from D to $M_m(R)$ when 2 and 3 are units of R; (ii) the additive preservers of inverses (respectively, Drazin inverses, group inverses, {1}-inverses, {2}-inverses, {1, 2}-inverses) from $M_n(R)$ to $M_n(R)$ when 2 and 3 are units of R.
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The applications of additive map preserving idempotence ingeneralized inverse
Hongmei Yao,Zhaobin Fan,Jiapei Tang 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
Suppose R is an idempotence-diagonalizable ring. Let n and m be two arbitrary positive integers with n ≥ 3. We denote by Mn(R) the ring of all n×n matrices over R. Let <ζ(R)> be the additive subgroup of Mn(R) generated additively by all idempotent matrices. Let ξ = ζ(R)i or Mn(R). In this paper, by using an additive idempotence-preserving result obtained by Cao (see [4]), I characterize (i) the additive preservers of tripotence from ξ to Mm(R) when 2 and 3 are units of R; (ii) the additive preservers of inverses (respectively, Drazin inverses, group inverses, {1}-inverses, {2}-inverses, {1, 2}-inverses) from Mn(R) to Mm(R) when 2 and 3 are units of R. Suppose R is an idempotence-diagonalizable ring. Let n and m be two arbitrary positive integers with n ≥ 3. We denote by Mn(R) the ring of all n×n matrices over R. Let <ζ(R)> be the additive subgroup of Mn(R) generated additively by all idempotent matrices. Let ξ = ζ(R)i or Mn(R). In this paper, by using an additive idempotence-preserving result obtained by Cao (see [4]), I characterize (i) the additive preservers of tripotence from ξ to Mm(R) when 2 and 3 are units of R; (ii) the additive preservers of inverses (respectively, Drazin inverses, group inverses, {1}-inverses, {2}-inverses, {1, 2}-inverses) from Mn(R) to Mm(R) when 2 and 3 are units of R.
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