Doç.Dr. Eylem Güzel Karpuz

Yüksek Lisans Tez Konusu ve  Danışmanı :
Grup ve Yarı Grup Cebirsel Yapısında Karar Verme Problemleri” (Ekim 2009)
 Danışman: Prof. Dr. Ahmet Sinan ÇEVİK


Doktora Tez Konusu ve  Danışmanı :
Geometrik Metotlar Altında Kelime Problemi ve Sonuçları” (Haziran 2006)
Danışman: Prof. Dr. Ahmet Sinan ÇEVİK

A. Uluslararası Hakemli Dergilerde Yayımlanan Makaleler (SCI, SCI-E):

A1.     Karpuz, E. G., Çevik, A. S., "The Word and Generalized Word Problem for Semigroups under Wreath Products", Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Tome 52(100), No. 2, (2009), 151-160.

A2.      Ateş, F., Karpuz, E. G., Kocapınar, C. Çevik, A. S., “Gröbner-Shirshov Bases of Some Monoids”, Discrete Mathematics311(12) (2011), 1064-1071.

A3. Karpuz, E. G., Çevik, A. S., “A New Example of Strongly -Inverse Monoids”, Hacettepe Journal of Mathematics and Statistics, 40(3) (2011), 461-468.

A4. Karpuz, E.G., Ateş, F., Çevik, A.S., Cangül, İ.N., Güngör (Maden), A.D., “The Next Step of the Word Problem over Monoids”, Applied Mathematics and Computation, 218(3) (2011), 794-798.

A5. Kocapinar, C., Karpuz, E. G., Ates, F., Çevik, A. S., "Gröbner-Shirshov Bases of the Generalized Bruck-Reilly *-Extension", Algebra Colloquium , 19 (Spec 1)(2012), 813-820.

A6. Karpuz, E. G., Çevik, A. S., "Gröbner-Shirshov Bases for Extended Modular, Extended Hecke and Picard Groups", Mathematical Notes, 92(5) (2012), 636-642.

A7. Karpuz, E. G., Ateş, F., Çevik, A. S., Cangül, İ. N., "The Graph Based on Gröbner-Shirshov Bases of Groups", Fixed Point Theory and Applications, (2013), 2013: 71, doi: 10.1186/1687-1812-2013-71.

A8. Karpuz, E. G., Das, K. Ch., Cangül, İ. N., Çevik, A. S., "A New Graph Based on the Semi-Direct Product of Some Monoids", Journal of Inequalities and Applications, (2013), 2013:118, doi:10.1186/1029-242X-2013-118.

A9. Karpuz, E. G., Çevik, A. S., Koppitz, J., Cangül, İ. N., "Some Fixed-Point Results on (Generalized) Bruck-Reilly *-Extensions of Monoids", Fixed Point Theory and Applications, (2013), 2013: 78, doi: 10.1186/1687-1812-2013-78.

A10. Karpuz, E. G., "Gröbner-Shirshov Bases of Some Semigroup Constructions", Algebra Colloquium 22(1) (2015), 35-46.

A11. Karpuz, E. G., Ateş, F., Çevik, A. S., "Gröbner-Shirshov Bases of Some Weyl Groups", Rocky Mountain Journal of Mathematics (accepted).


B. Uluslararası Hakemli Dergilerde Yayımlanan Makaleler:

B1. Karpuz, E. G., Çevik, A. S., “On Results of the Holomorph of a Finite Cyclic Group”, Selçuk Journal of Applied Mathematics, Vol. 9, No. 1, (2008), 3-8.

B2. Karpuz, E. G., “Generalized Bruck-Reilly *-Extension as a New Example of a Monoid with a Non-Finitely Generated Group of Units”, Selçuk Journal of Applied Mathematics, 11(1) (2010), 137-142.

B3. Karpuz, E. G., “Complete Rewriting Systems for the Chinese Monoid, Applied Mathematical Sciences, 4(22) (2010), 1081-1087.

B4. Karpuz, E. G., “Finite Derivation Type Property on the Chinese Monoid, Applied Mathematical Sciences, 4(22) (2010), 1073-1080.

B5. Ateş, F., Karpuz, E.G., Güngör, A. D., Çevik, A. S., “A New Example for Minimality of Monoids”, Asian-European Journal of Mathematics, 3(4) (2010), 531-544.

B6. Karpuz, E.G., Ateş, F., Çevik, A. S., “Regular and -Inverse Monoids under Schützenberger Products”, Algebras, Groups and Geometries, 27(4) (2010), 455-470.

B7. Karpuz, E.G., Çevik, A.S., “Some Decision Problems for Extended Modular Groups”, Southeast Asian Bulletin of Mathematics, 35(5) (2011), 793-804.

B8. Karpuz, E.G., Çevik, A.S., "On the Solvability of the Word Problem by Adian Graphs", Adv. Studies Contemp. Math., 22(2) (2012), 317-323.


C. Uluslararası Bilimsel Toplantılarda Sunulan ve Bildiri Kitaplarında (Proceedings) Basılan ya da Basılacak Olan Bildiriler:

C1. Çevik, A. S., Özel, C., Karpuz, E. G., “Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group ”, International Conference on Ring and Module Theory, August 18-22, 2008, in Ring and Module Theory, Trends in Mathematics (T. Albu, G. F. Birkenmeier, A. Erdoğan, A. Tercan, edts) Birkhäuser, (2010), p.79-87. 

C2. Güngör, A. D., Çevik, A. S., Karpuz, E. G., Ateş, F., Cangül, İ. N., “Generalization for Extrada Index”, (AIP Conference Proceedings) CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), p. 1106-1110, Rhodes Island, GREECE (To be seen Web of Science).

C3. Çevik, A. S., Güngör, A. D., Karpuz, E. G., Ateş, F., Cangül, İ. N., “A New Example of Deficiency One Groups”, (AIP Conference Proceedings) CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), p. 1111-1116, Rhodes Island, GREECE (To be seen Web of Science).

C4. Karpuz, E. G., Ateş, F., Güngör, A. D., Cangül, İ. N., Çevik, A. S., “On the Norms of Toeplitz and Hankel Matrices with Pell Numbers”, (AIP Conference Proceedings) CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), p. 1117-1120, Rhodes Island, GREECE (To be seen Web of Science).

C5. Ateş, F., Karpuz, E. G., Çevik, A. S., Güngör, A. D., Cangül, İ. N., “On the Efficiency of Semi-Direct Products of Finite Cyclic Monoids by One-Relator Monoids”, (AIP Conference Proceedings) CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), p. 1121-1124, Rhodes Island, GREECE (To be seen Web of Science).

C6. Cangül, İ. N., Demirci, M., Yurttaş, A., Karpuz, E. G., Ateş, F., “Determination of Genus of Normal Subgroups of Discrete Groups”, (AIP Conference Proceedings) CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), p. 1148-1151, Rhodes Island, GREECE (To be seen Web of Science).

C7. Ateş, F., Karpuz, E. G., Çevik, A. S., "The Efficiency of the Semi-Direct Products of Free Abelian Monoid with rank n by the Infinite Cyclic Monoid", (AIP Conference Proceedings) Vol1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, p. 312-314 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), Halkidiki, GREECE (To be seen Web of Science).

C8. Çevik, A. S., Karpuz, E. G., Ateş, F., "Conjugacy for Free Groups under Split Extensions", (AIP Conference Proceedings) Vol1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, p. 361-366 (T. E. Simos, G. Psihoyios, and Ch. Tsitouras, edts), Halkidiki, GREECE (To be seen Web of Science).


D. Ulusal Bilimsel Toplantılarda Sunulan ve Bildiri Kitaplarında Basılan Bildiriler:

D1. Karpuz, E. G., "Some Results on Wreath Products for Monoids Obtained by Cayley Graphs", XX. Ulusal Matematik Sempozyumu, Atatürk Üniversitesi, 3-6 Eylül 2007, 349-362, Erzurum.

E . Diğer Bildiriler:

Uluslararası Sempozyumlar:
E1.     Karpuz, E. G., "Embeddability and Gröbner-Shirshov Basis Theory", International Congress in Honour of Professor Ravi P. Agarwal, June 23-26, 2014, Uludag University, Bursa (konuşmacı).

E2.     Karpuz, E. G., "Gröbner-Shirshov Bases and Word problem of Some Groups", International Conference on Algebra in Honour of Patrick Smith and John Clark's 70th Birthdays, August 12-15, 2013, Balıkesir, TURKEY (konuşmacı).

E3.     Karpuz, E. G., "Gröbner-Shirshov bases and Word Problem of Some Monoid Constructions", Workshop on Questions, Algorithms, and Computations in Abstract Group Theory, , May 21-24, 2013, TU Braunshweig, GERMANY (konuşmacı).

E4.     Karpuz, E. G., “Results on Gröbner-Shirshov Bases of Some Monoids and Semigroups”, Algebra, Geometry, Mathematicsl Physics, September 12-14, 2012, Brno University of Technology, Brno, CZECH REPUBLIC (konuşmacı).

E5.     Karpuz, E. G.,  "Gröbner-Shirshov Bases and Some Results", International Congress in Honour of Professor H. M. Srivastava, August 23-26, 2012, Uludag University, Bursa, TURKEY (konuşmacı).

E6.     Karpuz, E. G., Çevik, A. S., "On Adian Graphs and the Word Problem", The 24th International Conference of Jangjeon Mathematical Society, July 20-23, 2011, Selçuk University, Konya, TURKEY (konuşmacı).

E7.     Karpuz, E. G.,  “On Gröbner-Shirshov Bases of Some Groups and Monoids”, Workshop on Finite Groups and Their Automorphisms, June 7-11, 2011, Boğaziçi University, İstanbul, TURKEY (poster sunumu).

E8.     Karpuz, E. G.,  “Strongly -Inverse Monoids under Schützenberger Product”, 81th Workshop on General Algebra, March 03-08, 2011, Salzburg, AUSTRIA (konuşmacı).

E9.     Karpuz, E. G., Ateş, F., Güngör, A. D., Cangül, İ. N., Çevik, A. S., “On the Norms of Toeplitz and Hankel Matrices with Pell Numbers”, 8th International Conference on Numerical Analysis and Applied Mathematics (AIP Conference Proceedings), September 19-25, 2010, Rhodes Island, GREECE (konuşmacı).

E10.Karpuz, E. G., Ateş, F., Çevik, A. S., Cangül, İ. N., “One Dimension Higher of the Word Problem for Monoids”, International Congress in Honour of Prof. H. M. Srivastava on his 70th Birth Anniversary, August 18-21, 2010, Bursa, TURKEY (konuşmacı).

E11.Karpuz, E. G., Sarıgedik, Z., İkikardeş, S., Ateş, F., “On the Norms of Toeplitz and Hankel Matrices with Generalized Fibonacci Numbers”, International Congress in Honour of Prof. H. M. Srivastava on his 70th Birth Anniversary, August 18-21, 2010, Bursa, TURKEY (konuşmacı).

E12.Karpuz, E. G., Çevik, A. S., Ateş, F.,” Generalized Bruck-Reilly *- Extension of Monoids”, XII. Antalya Algebra Days, May 19-22, 2010, Antalya, TURKEY (konuşmacı).

E13.Karpuz, E. G., Çevik, A. S., “Monoids with a Non-Finitely Generated Group of Units”, 79th Workshop on General Algebra, February 12-14, 2010, Olomouc, CZECH REPUBLIC (konuşmacı).

E14.     Karpuz, E. G., Çevik, A. S., “The Word and Generalized Word Problem for Semigroups under Wreath Products”, 77th Workshop on General Algebra, March 20-22, 2009, Potsdam, GERMANY (konuşmacı).

E15.Güzel, E.,Finite Derivation Type for Graph Products of Monoids”, The 20th International Congress of Jangjeon Mathematical Society, August 21-23, 2008, Bursa, TURKEY (konuşmacı).

E16.Karpuz, E. G., Finite Derivation Type for Monoids”, PhD Research Seminar, University of Leicester, June 10, 2009, Leicester, UNITED KINGDOM (konuşmacı).

Ulusal Sempozyumlar:

E17.   Karpuz, E. G.,Güçlü -Tersinir Monoidler”, 6. Ankara Matematik Günleri,Hacettepe Üniversitesi, 2-3 Haziran 2011, Ankara (konuşmacı).

E18.   Karpuz, E. G., Ateş, F., Çevik, A. S., “Genelleştirilmiş Bruck-Reilly*-Genişlemesi”, 5. Ankara Matematik Günleri,TOBB ETU, 3-4 Mayıs 2010, Ankara (konuşmacı).

E19. Karpuz, E. G, Çevik, A. S., “Yarıgrupların Wreath Çarpımı için Kelime ve Genelleştirilmiş Kelime Problemi”, XXII. Ulusal Matematik Sempozyumu, Şirince Matematik Köyü, 31 Ağustos-03 Eylül 2009, İzmir (konuşmacı).

E20. Güzel, E.,Finite Derivation Type for Special Products over Monoids”, 3. Ankara Matematik Günleri Sempozyumu, Ankara Üniversitesi, 22-23 Mayıs 2008, Ankara (konuşmacı).

E21.    Güzel, E.,Some Results on Wreath Products for Monoids Obtained by Cayley Graphs”, XX. Ulusal Matematik Sempozyumu, Atatürk Üniversitesi, 3-6 Eylül 2007, Erzurum (konuşmacı).