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Ebru Solak

E-mail
esolak@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
REPRESENTATIONS OF FINITE POSETS OVER THE RING OF INTEGERS MODULO A PRIME POWER
Arnold, David; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2016-12-01)
The classical category Rep(S, Z(p)) of representations of a finite poset S over the field Z(P) is extended to two categories, Rep(S,Z(p)(m)) and uRep(S, Z(p)(m)), of representations of S over the ring Z(p)(m). A list of va...
Classification of a class of torsion-free abelian groups
Solak, Ebru (2016-01-01)
The class of almost completely decomposable groups with a critical typeset of type (2, 2) and a regulator quotient of exponent <= p(2) is shown to have exactly 4 near-isomorphism classes of indecomposable groups. Every gro...
THE CLASS OF (2,2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3) HAS BOUNDED REPRESENTATION TYPE
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Cambridge University Press (CUP), 2015-08-01)
The class of almost completely decomposable groups with a critical typeset of type (2,2) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are only 16 isomorphism at ...
(1,4)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3)
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2015-01-01)
The class of almost completely decomposable groups with a critical typeset of type (1,4) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are precisely four near-iso...
REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS
Arnold, David; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2014-03-04)
Representations of posets in certain modules are used to find indecomposable almost completely decomposable torsion-free abelian groups. For a special class of almost completely decomposable groups we determine the possibl...
The class of (1,3)-groups with homocyclic regulator quotient of exponent p(4) has bounded representation type
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Elsevier BV, 2014-02-15)
The class of almost completely decomposable groups with a critical typeset of type (1,3) and a homocyclic regulator quotient of exponent p(4) is shown to be of bounded representation type. There are only nine near-isomorph...
Indecomposable (1,3)-Groups and a matrix problem
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2013-06-01)
Almost completely decomposable groups with a critical typeset of type (1, 3) and a p-primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient p (k) , either no...
1 2 groups for a regulator quotient of exponent p 4
Solak, Ebru; Mutzbauer, Otto (2012-10-01)
Almost completely decomposable groups and unbounded representation type
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2012-01-01)
Almost completely decomposable groups with a regulating regulator and a p-primary regulator quotient are studied. It is shown that there are indecomposable such groups of arbitrarily large rank provided that the critical t...
(1,2)-Groups
Solak, Ebru (2007-12-01)
We generalize a construction due to Magnus and use it to investigate orders on the monoid and group given by the presentation Key Words: Baumslag-Solitar, Group ordering, Magnus transformation 2000 Mathematics Subject Clas...