Ebru Solak

E-mail

esolak@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0002-8701-8099

Scopus Author ID

24833573700

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...