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  • 1.
    Fröberg, Ralf
    et al.
    Stockholm University, Faculty of Science, Department of Mathematics.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Häggkvist, Roland
    Gorenstein rings as maximal subrings of k[[x]] with fixed conductor1988In: Comm. in Algebra, Vol. 16Article in journal (Refereed)
  • 2.
    Fröberg, Ralf
    et al.
    Stockholm University, Faculty of Science, Department of Mathematics.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Häggkvist, Roland
    On numerical semigroups1987In: Semigroup Forum, Vol. 35Article in journal (Refereed)
  • 3.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    A proof that commutative Artinian rings are Noetherian1995In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 23, no 12, p. 4687-4691Article in journal (Refereed)
    Download full text (pdf)
    fulltext
  • 4.
    Gottlieb, Christian
    Stockholm University.
    An integer-valued function related to the number of generators of modules over local rings of small dimension1993In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 21, no 11, p. 4115-4118Article in journal (Refereed)
  • 5.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Bounding the number of generators for a class of ideals in local rings1995In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 23, no 4, p. 1499-1502Article in journal (Refereed)
    Download full text (pdf)
    fulltext
  • 6.
    Gottlieb, Christian
    Stockholm University.
    Choosing generators of modules over local rings1994In: Manuscripta mathematica, ISSN 0025-2611, E-ISSN 1432-1785, Vol. 84, no 3-4, p. 443-446Article in journal (Refereed)
  • 7.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    FINITE UNIONS OF OVERRINGS OF AN INTEGRAL DOMAIN2020In: Journal of Commutative Algebra, ISSN 1939-0807, E-ISSN 1939-2346, Vol. 12, no 1, p. 87-90Article in journal (Refereed)
    Abstract [en]

    Let R be an integral domain, and let A, A(1), A(2), ..., A s be overrings of R, where A is of the form S-1 R, where S = R \ p1 boolean OR ... boolean OR p(n) for for some prime ideals p(i), and where each A(i), i >= 2, is of the form S-i(-1) R for some multiplicatively closed subset S-i of R. It is shown that if A subset of A(1) boolean OR ... boolean OR A(s), then A subset of A(i) for some i.

  • 8.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Finite unions of overrings of an integral domainIn: Journal of Commutative Algebra, ISSN 1939-0807, E-ISSN 1939-2346Article in journal (Refereed)
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    fulltext
  • 9.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Finite unions of submodules2015In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 43, no 2, p. 847-855Article in journal (Refereed)
    Abstract [en]

    This paper is concerned with finite unions of ideals and modules. The first main result is that, if N ⊆ N 1 ∪N 2 ∪ … ∪ N s is a covering of a module N by submodules N i , such that all but two of the N i are intersections of strongly irreducible modules, then N ⊆ N k for some k. The special case when N is a multiplication module is considered. The second main result generalizes earlier results on coverings by primary submodules. In the last section unions of cosets is studied.

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    Finite unions of submodules
  • 10.
    Gottlieb, Christian
    Stockholm University.
    Generating ideals in local rings using elements of high degrees1988In: Manuscripta mathematica, ISSN 0025-2611, E-ISSN 1432-1785, Vol. 62, no 3, p. 337-340Article in journal (Refereed)
  • 11.
    Gottlieb, Christian
    Stockholm University.
    Length and dimension modulo a Serre category1997In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 25, no 5, p. 1553-1561Article in journal (Refereed)
  • 12.
    Gottlieb, Christian
    Stockholm University.
    Modules covered by finite unions of submodules1998In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 26, no 7, p. 2351-2359Article in journal (Refereed)
  • 13.
    Gottlieb, Christian
    Stockholm University.
    On condensed Noetherian domains whose integral closures are discrete valuation rings1932In: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 1989, no 2, p. 166-168Article in journal (Refereed)
  • 14.
    Gottlieb, Christian
    Stockholm University.
    On finite unions of ideals and cosets1994In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 22, no 8, p. 3087-3097Article in journal (Refereed)
  • 15.
    Gottlieb, Christian
    Stockholm University.
    On generators of ideals in one-dimensional local rings1993In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 21, no 2, p. 421-425Article in journal (Refereed)
  • 16.
    Gottlieb, Christian
    Stockholm University.
    On ideals which are almost zero, and related concepts1996In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 24, no 6, p. 2201-2209Article in journal (Refereed)
  • 17.
    Gottlieb, Christian
    Stockholm University.
    On the colength function in one-dimensional Noetherian domains1994Conference paper (Refereed)
  • 18.
    Gottlieb, Christian
    Stockholm University.
    Some inequalities concerning colengths in Noetherian rings1986In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 101, no 1, p. 95-109Article in journal (Refereed)
  • 19.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Some inequalities concerning colengths in Noetherian rings1984Doctoral thesis, monograph (Other academic)
  • 20.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    Strongly prime ideals and strongly zero-dimensional rings2017In: Journal of Algebra and its Applications, ISSN 0219-4988, E-ISSN 1793-6829, Vol. 16, no 10, article id 1750191Article in journal (Refereed)
    Abstract [en]

    A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p contains one of the ideals in the intersection. A commutative ring with this property for every prime ideal is called strongly zero-dimensional. Some equivalent conditions are given and it is proved that a zero-dimensional ring is strongly zero-dimensional if and only if the ring is quasi-semi-local. A ring is called strongly n-regular if in each ideal a, there is an element a such that x=ax for all x ∈ an. Connections between the concepts strongly zero-dimensional and strongly n-regular are considered.

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    fulltext
  • 21.
    Gottlieb, Christian
    Stockholm University, Faculty of Science, Department of Mathematics.
    The Nakayama Property of a Module and Related Concepts2015In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 43, no 12, p. 5131-5140Article in journal (Refereed)
    Abstract [en]

    Three related properties of a module are investigated in this article, namely the Nakayama property, the Maximal property, and the S-property. A module M has the Nakayamapropertyif aM=M for an ideal a implies that sM=0 for some s∈a+1. A module M has the Maximal property if there is in M a maximal proper submodule, and finally, M is said to have the S-property if S^{−1}M = 0 for a multiplicatively closed set S implies that sM=0 for some s∈S. 

  • 22.
    Gottlieb, Christian
    Stockholm University.
    The simple and straightforward construction of the regular 257-gon1999In: The Mathematical intelligencer, ISSN 0343-6993, E-ISSN 1866-7414, Vol. 21, no 1, p. 31-37Article in journal (Refereed)
1 - 22 of 22
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