Geodesic
Partially Self-Injective Regular Rings
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 501-505

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DOI

It is proved, for any uncountable cardinal λ, that a λ-complete Boolean ring is λ-self-injective. An example shows that the converse need not hold. 
Carson, Andrew B. Partially Self-Injective Regular Rings. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 501-505. doi: 10.4153/CMB-1973-081-6
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     author = {Carson, Andrew B.},
     title = {Partially {Self-Injective} {Regular} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {501--505},
     year = {1973},
     volume = {16},
     number = {4},
     doi = {10.4153/CMB-1973-081-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-081-6/}
}
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