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SPECTRAL SPACES OF COUNTABLE ABELIAN LATTICE-ORDERED GROUPS.

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Τίτλος: SPECTRAL SPACES OF COUNTABLE ABELIAN LATTICE-ORDERED GROUPS.
Συγγραφείς: WEHRUNG, FRIEDRICH1 friedrich.wehrung01@unicaen.fr
Πηγή: Transactions of the American Mathematical Society. 2/1/2019, Vol. 371 Issue 3, p2133-2158. 26p.
Θεματικοί όροι: *Spectral sequences (Mathematics), *Abelian groups, *Lattice field theory, *Group theory, *Kernel functions, *Prime numbers
Περίληψη: It is well known that the 𝓁-spectrum of an Abelian 𝓁-group, defined as the set of all its prime 𝓁-ideals with the hull-kernel topology, is a completely normal generalized spectral space. We establish the following converse of this result. [ABSTRACT FROM AUTHOR]
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  Data: SPECTRAL SPACES OF COUNTABLE ABELIAN LATTICE-ORDERED GROUPS.
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  Data: <searchLink fieldCode="JN" term="%22Transactions+of+the+American+Mathematical+Society%22">Transactions of the American Mathematical Society</searchLink>. 2/1/2019, Vol. 371 Issue 3, p2133-2158. 26p.
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  Data: *<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Abelian+groups%22">Abelian groups</searchLink><br />*<searchLink fieldCode="DE" term="%22Lattice+field+theory%22">Lattice field theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Kernel+functions%22">Kernel functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Prime+numbers%22">Prime numbers</searchLink>
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  Data: It is well known that the 𝓁-spectrum of an Abelian 𝓁-group, defined as the set of all its prime 𝓁-ideals with the hull-kernel topology, is a completely normal generalized spectral space. We establish the following converse of this result. [ABSTRACT FROM AUTHOR]
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      – SubjectFull: Abelian groups
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              Text: 2/1/2019
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