The rings which are Boolean
Ivan Chajda ; Filip Švrček
Discussiones Mathematicae - General Algebra and Applications, Tome 31 (2011), p. 175-184 / Harvested from The Polish Digital Mathematics Library
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We study unitary rings of characteristic 2 satisfying identity xp=x for some natural number p. We characterize several infinite families of these rings which are Boolean, i.e., every element is idempotent. For example, it is in the case if p=2n-2 or p=2n-5 or p=2n+1 for a suitable natural number n. Some other (more general) cases are solved for p expressed in the form 2q+2m+1 or 2q+2m where q is a natural number and m∈1,2,...,2q-1.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:276738 
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     volume = {31},
     year = {2011},
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Ivan Chajda; Filip Švrček. The rings which are Boolean. Discussiones Mathematicae - General Algebra and Applications, Tome 31 (2011) pp. 175-184. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1181/

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