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ON SELF-INJECTIVITY OF THE f-RING Frm(P(R), L)

Author:
Estaji, Ali Akbar  Abedi, Mostafa  Darghadam, Ahmad Mahmoudi  


Journal:
MATHEMATICA SLOVACA


Issue Date:
2019


Abstract(summary):

Let FPL :=3D Frm(P(R);L). We show that if L is a P-frame then FPL is an N-0-self-injective ring. We prove that a zero-dimensional frame L is extremally disconnected if and only if FPL is a self-injective ring. Finally, it is shown that FPL is a Baer ring if and only if FPL is a continuous ring if and only if (FL)-L-P is a complete ring if and only if FPL is a CS-ring. (C) 2019 Mathematical Institute Slovak Academy of Sciences


Page:
999---1008


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