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$$J$$-rings of characteristic two that are Boolean. (English) Zbl 0819.16021
From the abstract: This paper is concerned with determining all integers $$n$$, with $$n \geq 2$$, such that if $$R$$ is a ring having the property that $$x^ n = x$$ and $$2x = 0$$ for each $$x \in R$$, then $$R$$ is Boolean.
MSC:
 16R10 $$T$$-ideals, identities, varieties of associative rings and algebras 06E20 Ring-theoretic properties of Boolean algebras 16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) 16U80 Generalizations of commutativity (associative rings and algebras) 16N40 Nil and nilpotent radicals, sets, ideals, associative rings
Keywords:
$$J$$-rings; Boolean rings
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