Yayınlanmış 1 Ocak 2025 | Sürüm v1
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On the CPO-inverse in *-rings

  • 1. Ankara Univ, Grad Sch Nat & Appl Sci, Ankara, Turkiye
  • 2. Univ Nis, Fac Sci Math, Nish, Serbia

Açıklama

The notion of the CPO-inverse is extended from the set of all complex nxn matrices of index 1 to the set R(#) of all core invertible elements in a *-ring R with identity. Properties of this generalized inverse are investigated and some known results are thus generalized. We apply the CPO-inverse to introduce two relations on R(#) and prove that they are partial orders. We give several characterizations of these partial orders and explore connections between them and some well-known partial orders.

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