1 Ocak 2015 Dergi makalesi Açık Erişim

Camillo, V.; Nicholson, W. K.

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        "affiliation": "Univ Iowa, Dept Math, Iowa City, IA 52242 USA", 
        "name": "Camillo, V."
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        "affiliation": "Univ Calgary, Dept Math, Calgary, AB T2N 1N4, Canada", 
        "name": "Nicholson, W. K."
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    "description": "The rings in the title are studied and related to right principally injective rings. Many properties of these rings (called left pseudo-morphic by Yang) are derived, and conditions are given that an endomorphism ring is left pseudo-morphic. Some particular results: (1) Commutative pseudo-morphic rings are morphic; (2) Semiprime left pseudo-morphic rings are semisimple; and (3) A left and right pseudo-morphic ring satisfying (equivalent) mild finiteness conditions is a morphic, quasi-Frobenius ring in which every one-sided ideal is principal. Call a left ideal L a left principal annihilator if L = 1(a) = {r is an element of R vertical bar ra = 0} for some a is an element of R. It is shown that if R is left pseudo-morphic, left mininjective ring with the ACC on left principal annihilators then R is a quasi-Frobenius ring in which every right ideal is principal and every left ideal is a left principal annihilator.", 
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      "pages": "199-214", 
      "title": "INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA", 
      "volume": "17"
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    "title": "ON RINGS WHERE LEFT PRINCIPAL IDEALS ARE LEFT PRINCIPAL ANNIHILATORS"
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