On Hadamard-Dirichlet algebras.
Barrenechea, A.L., Peña, C.C. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Barrenechea, A.L., Peña, C.C. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Benjamin, E., Bresinsky, H. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Siberian Mathematical Journal
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Sibirskij Matematicheskij Zhurnal
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Mironova, Yu.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Végh, A. (2005)
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Hourong Qin (1995)
Acta Arithmetica
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An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals....
(1994)
Acta Arithmetica
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Kevin Hutchinson (1995)
Acta Arithmetica
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0. Introduction. Since ℤ is a principal ideal domain, every finitely generated torsion-free ℤ-module has a finite ℤ-basis; in particular, any fractional ideal in a number field has an "integral basis". However, if K is an arbitrary number field the ring of integers, A, of K is a Dedekind domain but not necessarily a principal ideal domain. If L/K is a finite extension of number fields, then the fractional ideals of L are finitely generated and torsion-free (or, equivalently, finitely...
Vinokurov, N.S. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Makoto Ishibashi (1995)
Acta Arithmetica
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