Geodesic
On a Sheaf of Division Rings*
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 727-731

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R. Arens and I. Kaplansky ([1]) call a ring A biregular if every two sided principal ideal of A is generated by a central idempotent and a ring A strongly regular if for any a in A there exists b in A such that a=a2b. In ([1], Sections 2 and 3), a lot of interesting properties of a biregular ring and a strongly regular ring are given. Some more properties can also be found in [3], [5], [8], [9] and [13]. For example, J. Dauns and K. Hofmann ([3]) show that a biregular ring A is isomorphic with the global sections of the sheaf of simple rings A/K where K are maximal ideals of A. The converse is also proved by R. Pierce ([9], Th. 11–1). Moreover, J. Lambek ([5], Th. 1) extends the above representation of a biregular ring to a symmetric module. 
Szeto, George. On a Sheaf of Division Rings*. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 727-731. doi: 10.4153/CMB-1974-131-x
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     title = {On a {Sheaf} of {Division} {Rings*}},
     journal = {Canadian mathematical bulletin},
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     year = {1975},
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     number = {5},
     doi = {10.4153/CMB-1974-131-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-131-x/}
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