On <Emphasis Type="Italic">α</Emphasis>-regular archimedean <Emphasis Type="Italic">f</Emphasis>-rings |
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| Authors: | Anthony W Hager Jorge Martínez |
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| Institution: | 1.Department of Mathematics and Computer Science,Wesleyan University,Middletown,USA;2.Department of Mathematics,University of Florida,Gainesville,USA |
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| Abstract: | For a commutative ring A with identity, and for infinite cardinals α as well as the symbol ∞, which indicates the situation in which there are no cardinal restrictions, one defines A to be α-regular if for each subset D of A, with |D| < α and de = 0, for any two distinct d, e ∈ D, there is an s ∈ A such that d
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s = d, for each d ∈ D, and if xd = 0, for each d ∈ D, then xs = 0 |
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