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The idempotent elements of a commutative ring form a Boolean algebra; ring-duality and transformation theory

Duke Mathematical Journal, 1945
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Cardinal invariants on Boolean algebras

, 1996
Monk, James Donald 1930-
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Boolean Algebras Versus Rings

Undergraduate Texts in Mathematics, 2009
Steven Givant
exaly   +2 more sources

A note on Rickart rings and semi-Boolean algebras

Algebra Universalis, 1976
M F Janowitz
exaly   +2 more sources

3. Boolean algebras, Boolean rings

1976
exaly   +2 more sources

Rings and residuated lattices whose fuzzy ideals form a Boolean algebra

Soft Computing, 2021
In this paper, we characterize those rings $${\mathcal {A}}$$ and complete Brouwerian residuated lattices $${\mathcal {L}}$$ whose residuated lattice
S. V. Tchoffo Foka, Marcel Tonga
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A cylindrical algebra based on the Boolean ring

Studia Logica, 1967
In their aim to algebraize the predicate calculus Tarski, Henkin and Thompson [7], [8] constructed the theory of cylindrical algebras, and Halmos [1] created the theory of polyadic algebras. Both these theories are based on the Boolean algebras, i.e. the sets of axioms of these theories enclose the axioms of the Boolean algebras.
Kotas, Jerzy, Pieczkowski, August
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Boolean Algebras, Generalized Abelian Rings, and Grothendieck Groups

Communications in Algebra, 2006
A ring R is called generalized Abelian if for each idempotent e in R, eR and (1 − e)R have no isomorphic nonzero summands.
Xinmin Lu, Hourong Qin
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