Articles with "prime spectrum" as a keyword



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Stone type representations and dualities by power set ring

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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… read more here.

Keywords: prime spectrum; stone type; representations dualities; stone ... See more keywords
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On Prime Spectrum of Maximal Subgroups in Finite Groups

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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… read more here.

Keywords: maximal subgroups; see text; formula see; prime spectrum ... See more keywords