The maximal ring of quotients of $A_d L$

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发表日期：

2025年6月23日

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Warren Wm. McGovern,
Batsile Tlharesakgosi

摘要

We start with a zero-dimensional frame L and an arbitrary integral domain A. We equip A with the discrete topology and consider the ring of A-valued continuous functions on L, which we denote by $A_dL$ $A_{d} L$ . In this article, we classify both the classical ring of quotients and maximal ring of quotients of $A_dL$ $A_{d} L$ , paying special attention to the case of ${\mathfrak Z}L$ $Z L$ the integer-valued continuous functions on L.

The maximal ring of quotients of \(A_d L\)

摘要