Feebly projectable ℓ-groups

Knox, Michelle L.; McGovern, Warren Wm.

doi:10.1007/s00012-010-0041-z

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Applications To C(x)1

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Cited by 6 publications

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“…The proof of this can be found in [15], but the reader should be aware that C(X) is treated as a lattice-ordered group. The main point is that for a semiprime f -ring with bounded inversion, being a weakly complemented (resp.…”

Section: Applications To C(x)mentioning

confidence: 99%

Generalizations of Complemented Rings With Applications to Rings of Functions

et al. 2009

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Abstract. It is well known that a commutative ring R is complemented (that is, given a ∈ R there exists b ∈ R such that ab = 0 and a + b is a regular element) if an only if the total ring of quotients of R is von Neumann regular. We consider generalizations of the notion of a complemented ring and their implications for the total ring of quotients. We then look at the specific case when the ring is a ring of continuous real-valued functions on a topological space.

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Section: Applications To C(x)mentioning

confidence: 99%