Yosida, Martínez, and A + B Rings

Papiya Bhattacharjee (), Lee Klingler () and Warren Wm McGovern ()
Additional contact information
Papiya Bhattacharjee: Florida Atlantic University, Department of Mathematical Sciences
Lee Klingler: Florida Atlantic University, Department of Mathematical Sciences
Warren Wm McGovern: Florida Atlantic University, H. L. Wilkes Honors College

A chapter in Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, 2023, pp 99-111 from Springer

Abstract: Abstract The idea for A + B rings goes back to Griffin and Nagata; Huckaba (Commutative Rings with Zero Divisors. Marcel Dekker Inc, New York, 1988) and Lucas (Commun Alg 14:557–580, 1986) systematized the construction, useful for finding interesting examples of rings with zero-divisors. We study three properties in the context of A + B rings, all relating to the prime spectrum (and ultimately the frame of radical ideals) of a commutative ring R.

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-28847-0_7

Ordering information: This item can be ordered from
http://www.springer.com/9783031288470

DOI: 10.1007/978-3-031-28847-0_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().