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Published in 2021 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106737
Abstract: Abstract In this paper, it is shown that the Boolean ring of a commutative ring is isomorphic to the ring of clopens of its prime spectrum. In particular, Stone's Representation Theorem is generalized. The prime…
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Keywords:
prime spectrum;
stone type;
representations dualities;
stone ... See more keywords
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Published in 2018 at "Algebra Colloquium"
DOI: 10.1142/s1005386718000408
Abstract: For a positive integer n, we denote by π(n) the set of all prime divisors of n. For a finite group G, the set [Formula: see text] is called the prime spectrum of G. Let…
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Keywords:
maximal subgroups;
see text;
formula see;
prime spectrum ... See more keywords