Szász, Ferenc Andor (1972) Some generalizations of strongly regular rings. I. MATHEMATICA JAPONICA, 17. pp. 115-118. ISSN 0025-5513
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Abstract
A ring A is called a P1-ring if aAa = aA for all a 2 A. The author's main results are the following theorems. Theorem 6: For an arbitrary ring A with no nonzero nilpotent ideals the following two conditions are equivalent: (i) A is a P1 ring, (ii) A is strongly regular (i.e., a 2 a2A for any a 2 A). Theorem 8: Any P1-ring A is a subdirect sum of zero rings of additive rank one and of division rings. Z. Papp
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 25 Oct 2017 13:32 |
| Last Modified: | 25 Oct 2017 13:32 |
| URI: | http://real.mtak.hu/id/eprint/66127 |
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