Abstract
Motivated by recent results on commutative rings with zero divisors [2, 11], we investigate the difference between the three notions of locally classical, maximally classical, and classical rings. Motivated also by results in [12], we explore these notions when restricted to certain subsets of the prime spectrum of the ring. As an application, we examine the case of locally classical rings of continuous functions, the case of maximally classical and classical rings having already been considered [1, 14].
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Klingler, L., McGovern, W.W. (2019). Local Types of Classical Rings. In: Badawi, A., Coykendall, J. (eds) Advances in Commutative Algebra. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-7028-1_8
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DOI: https://doi.org/10.1007/978-981-13-7028-1_8
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