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Çukurova University
Faculty of Science and Letters
Department of Mathematics

                                                                           Adana/TÜRKİYE



  Professor Hayrullah Ayık
Professor Hayrullah Ayık - Department of Mathematics - Cukurova University


Çukurova University
Faculty of Sciences and Letters
Department of Mathematics
01330, Adana/TÜRKİYE
E-Mail: hayik
Phone: 0322 3386084/2469
Personal Web Site
Web Site About My Courses
Research Interests : Presentations of Groups and Semigroups, Efficiency of Groups and Semigroups, Transformation Semigroups
My teaching schedule this week


Curriculum Vitae
Born Adana, 1967    
Academic Background BSc 1993 Çukurova University
  PhD 1998 St-Andrews University
Career/Employment Research Assistant 1993 - 1998 Çukurova University
  Assistant Professor 1998 - 2005 Çukurova University
  Associate Prof. 2005 - 2010 Çukurova University
  Professor 2010 - 2011 Adıyaman University
  Professor 2011- Çukurova University
Fellowships and Awards YOK 1995 - 1998 University of St. Andrews PhD Scholarship
  TÜBİTAK BAYG Matematik Research Group 2003 Yaz University of St. Andrews
Administrative Duties Vice Head of Department 2004 - 2007 Department of Mathematics
  Vice Head of Department 2007 - 2008 Department of Mathematics
  Member Board of Faculty 2007 - 2010 Ç.Ü. Faculty of Arts and Letters
  Head of Algebra and Number Theory section 2011-
  Head of Department 2013- Department of Mathematics

Books

  • Ayık, H., Abdullayev, F., "XV. Ulusal Matematik Sempozyumu Bildirileri, 4 - 7 Eylül 2002, Mersin", Mersin Üniversitesi, (2004).
  • Ayık, H., Abdullayev, F., "International Workshop On Analysis and Its Applications, Abstracts, 7 - 11 September 2004, Mersin", Mersin University, (2004).
  • Ayık, H., Abdullayev, F., "XV. Ulusal Matematik Sempozyumu Bildiri Özetleri, 4 - 7 Eylül 2002, Mersin,", Mersin Üniversitesi, (2002).

Publications

  • Yiğit, E., Ayık, G., Ayık, H., Minimal relative generating sets of some partial transformation semigroups, Communications in Algebra, 45:3 (2017) 1239-1245.
  • Şenol (Yağcı), M., Bugay, L., Ayık, H., On the second homology of the Schutzenberger product of monoids, Turkish Journal of Mathematics, 39:5 (2015) 763--772.
  • Ayık, H., Bugay, L., Generating sets of finite transformation semigroups PK(n,r) and K(n,r), Communications in Algebra, 43:2 (2015) 412--422.
  • Ayık, H., Bugay, L., Generating Sets in Some Semigroups of Order-Preserving Transformations on a Finite Set, Southeast Asian Bulletin of Mathematics, 38 (2014) 163--172.
  • Ayık, H., Bugay, L., Generating Sets of Strictly Order-Preserving Transformation Semigroups on a Finite Set, Bulletin of the Korean Math. Society, 51/4 (2014) 1055--1062.
  • Ayık, G., Ayık, H., Bugay, L., Kelekci, O., Generating Sets of Finite Singular Transformation Semigroups, Semigroup Forum, 86 (1) (2013) 59-66.
  • Ayık, G., Ayık, H., Koç, M., Combinatorial Results for Order-Preserving and Order-Decreasing Transformations, Turkish Journal of Mathematics, (35), 4 (2011) 617-625.
  • Ayık, G., Ayık, H., Ünlü, Y., On Semigroup Presentations and Adian Graphs, Discrete Mathematics, 308/11 (2008) 2288--2291.
  • Ayık, G., Ayık, H., Howie, J.M., Ünlü, Y., Rank properties of the semigroup of singular transformations on a finite set, Communications in Algebra, 36/7 (2008) 2581--2587.
  • Ayık, H., Campbell, C., O'Connor, J., On the Efficiency of the Direct Products of Monogenic Monoids, Algebra Colloquium, 14/2 (2007) 279--284.
  • Ayık, H., Minisker, M., Vatansever, B., Minimal Presentations and Embedding into Inefficient Semigroups, Algebra Colloquium, 12 (2005) 59--65.
  • Ayık, H., On Finiteness Conditions for Rees Matrix Semigroups, Czechoslovak Math. J., 55 (2005) 455--463.
  • Ayık, G., Ayık, H., Howie, J.M., On Factorisations and Generators in Transformation Semigroup, Semigroup Forum, 70 (2005) 225--237.
  • Ayık, G., Ayık, H., Ünlü, Y., Presentations for S and S/ρ from a Given Presentation ρ, Semigroup Forum, 70 (2005) 146--149.
  • Ayık, G., Ayık, H., Howie, J.M., Ünlü, Y., The Structure of Elements in Finite Full Transformation Semigroups, Bull. Aust. Math. Soc., 71 (2005) 69--74.
  • Ayık, G., Ayık, H., Ünlü, Y., Presentations and word problems for strong semilattices of semigroups, Algebra & Discrete Mathematics, 4 (2005) 28--35.
  • Ayık, H., Kuyucu, F., Vatansever, B., On Semigroup Presentations and Efficiency, Semigroup Forum, 65 (2002) 329--335.
  • Ayık, H., Ruskuc, N., Campbell, C., O'Connor, J., The Semigroup Efficiency of Groups and Monoids, Proc. Roy. Irish Acad. Sec. A, 100/2 (2000) 171--176.
  • Ayık, H., Campbell, C., O'Connor, J., Ruskuc, N., On the Efficiency of Wreath Products of Groups,, Groups Korea 98 (Eds: Y.G. Baik, D.L. Johnson and A.C. Kim), Walter de Gruyter Berlin, New York, (2000) 39--51.
  • Ayık, H., Campbell, C., O'Connor, J., Ruskuc, N., The Semigroup Efficiency of Direct Products of Groups, in Proc. Internat. Conf. Semigroups (Eds: P. Smith, E. Giraldes and P. Martins), World Scientific, Singapore, (2000) 19--25.
  • Ayık, H., Campbell, C., O'Connor, J., Ruskuc, N., Minimal Presentations and Efficiency of Semigroups, Semigroup Forum, 60 (2000) 231--242.
  • Ayık, H., Campbell, C., O'Connor, J., Ruskuc, N., On the Efficiency of Finite Simple Semigroups, Turkish J. Math., 24 (2000) 129--146.
  • Ayık, H., Ruskuc, N., Generators and Relations of Rees Matrix Semigroups, Proc. Edinburg Math. Soc., 42 (1999) 481--495.

Conference Talks

  • Bugay, L., Ayık, H., Bazı Sonlu Sıra-Koruyan Dönüşüm Yarıgruplarının Doğuray Kümeleri, XXVI. Ulusal Matematik Sempozyumu, DİCLE(2013).
  • Bugay, L., Ayık, G., Ayık, H., Kelekci, O., Sonlu Tekil Dönüşüm Yarıgruplarının Doğuray Kümeleri,, XXV. Ulusal Matematik Sempozyumu, NİĞDE(2012).
  • Ayık, G., Ayık, H., Howie, J.M., Ünlü, Y., (m,r)-rank of finite full transformation semigroups, Antalya Algebra Days VIII, 17-21 May(2006).
  • Ayık, G., Ayık, H., Howie, J.M., On factorisations and generators in transformation semigroups, Antalya Algebra Days VII, 18-22 May(2005).
  • Ayık, H., Ayık, G., Howie, J.M., Ünlü, Y., The Structure of Elements in Finite Full Transformation Semigroups, Antalya Algebra Days VII, 18 - 22 May(2005).
  • Ayık, G., Ayık, H., Ünlü, Y., Bazı Yarıgrup Ailelerinin Sonlu Takdimedilebilirliği, XVII. Ulusal Matematik Sempozyumu, Abant İzzet Baysal Üniversitesi, Bolu, 23 - 26 Ağustos, (2004).
  • Ayık, H., On Semigroup Presentations, Antalya Algebra Days III, Antalya, May 28 - June 1, (2003).
  • Ayık, H., Presentations for S and S/ρ from a Given Presentation ρ & Embedding into Inefficient Semigroups, Seminar, University of St Andrews, Scotland, 31 July, (2003).
  • Ayık, H., Semigroup Presentation and Adian Graphs, Seminar, University of St Andrews, Scotland, 30 July, (2003).
  • Campbell, C., Ayık, H., O'Connor, J., Ruskuc, N., The semigroup Efficiency of Direct Powers of Groups, International Conference on Semigroups, University of Minho, Braga Portugal, 18 - 23 June, (1999).
  • Ayık, H., Ruskuc, N., Generators and Relations of Rees Matrix Semigroups, International Conference On Algorithmic Problems In Groups And Semigroups, University of Nebraska, Lincoln, USA, 11 - 15 May, (1999).
  • Campbell, C., Ayık, H., O'Connor, J., Ruskuc, N., The Semigroup Efficiency of Groups, International Conference On Algorithmic Problems In Groups And Semigroups, University of Nebraska, Lincoln, USA, 11 - 15 May, (1998).
  • Campbell, C., Ayık, H., O'Connor, J., Ruskuc, N., On the Efficiency of Wreath Products of Groups, Groups Korea 98, Pulsan National University, 10 - 16 August, (1998).
  • Ayık, H., Efficiency of Semigroups, Conference On Semigroups And Applications, University of St Andrews, Scotland, 2 - 9 July, (1997).

Memberships

MSc Theses Supervised

  • Bugay, L., Yarıgrupların Bruck-Reilly Genişlemelerinin Sonlu Takdim edilebilirliği, Ç.Ü. Fen Bilimleri Enstitüsü, (2010) .
  • Toker, K., Bazı Yarıgrup Yapılarının Sonlu Takdim Edilebilirliği, Ç.Ü. Fen Bilimleri Enstitüsü, (2008).
  • Koç, M., Transformasyon Yarıgruplarının Doğurayları ve Rankı, Çukurova Üniversitesi, Fen Bilimleri Enstitüsü, (2005).
  • Çimen, H.İ., Otomatik Gruplar ve Yarıgruplar, Çukurova Üniversitesi, Fen Bilimleri Enstitüsü, (2004).

PhD Theses Supervised

  • Çinar, F., Bazı dönüşüm yarıgruplarının doğurayları ve rankı, Ç.Ü. Fen Bilimleri Enstitüsü, (2011) .
  • Koç, M., Sonlu Sıra Koruyan Dönüşümlerin Orbitleri, Ç.Ü. Fen Bilimleri Enstitüsü, (2010) .
  • Çalışkan, B., Bazı Yarıgrup Aileleri ve Yapıları İçin Sonluluk Koşulları ve Etkinlik, Ç.Ü. Fen Bilimleri Enstitüsü, (2008).

Useful Links