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Yosida, Martínez, and A + B Rings

In: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Author

Listed:
  • 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)

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.

Suggested Citation

  • Papiya Bhattacharjee & Lee Klingler & Warren Wm McGovern, 2023. "Yosida, Martínez, and A + B Rings," Springer Books, in: Jean-Luc Chabert & Marco Fontana & Sophie Frisch & Sarah Glaz & Keith Johnson (ed.), Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, pages 99-111, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-28847-0_7
    DOI: 10.1007/978-3-031-28847-0_7
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