Profil

Prof. Bulent SARAC, PhD

Hacettepe University | Department of Mathematics

Bülent Saraç was born in 1977 in Ankara, the capital city of Türkiye. He currently works at the Department of Mathematics, Hacettepe University. His subject field is Algebra and its applications. He has specialized in Module Theory on commutative and noncommutative rings, associative algebras, and homological algebra. His current project is on 'Alternative perspectives on injectivity of modules'. He is also interested in implementations of finite dimensional algebras, especially of nonfinite type, on computer algebra systems. He has also studied Quantum Information Theory, which is a rapidly developping research area in Mathematical and Computational Sciences.
bsarac@hacettepe.edu.tr

Research Interests

Homological AlgebraModule TheoryAssociative AlgebraCoding TheoryQuantum Information

Education

Bachelor's degree (1995-1999)
Gazi University
Dept. of Mathematics Education
Mater's Degree (2001-2003)
Hacettepe University
Mathematics
Doctoral Degree (2003-2008)
Hacettepe University
Mathematics

Work Experience

Mathematics Teacher
National Education Ministry
1999-2002
Research assistant
Hacettepe University
2002-2008
Lecturer
Hacettepe University
2009-2014
Assistant professor
Hacettepe University
2014-2018
Associate professor
Hacettepe University
2018-2023
Professor
Hacettepe University
2023 - present

Publications

1
On the extent of weak-injectivity of direct sums of modules
Joint with Lopez-Permouth, Sergio R., Toksoy, Sultan Eylem
JOURNAL OF ALGEBRA AND ITS APPLICATIONS 2025
2
On the splitting property of rings with restricted class of injectivity domains
COMMUNICATIONS IN ALGEBRA 2024
3
Characterizing Rings in Terms of the Extent of the Injectivity of Their Simple Modules
Joint with Aydoğdu, Pınar
MEDITERRANEAN JOURNAL OF MATHEMATICS 2023
4
Butson-Hadamard matrices and Plotkin-optimal codes over $\mathbb{Z}_p^e$
Joint with Acar, Damla, Yayla, Oğuz
JOURNAL OF ALGEBRA AND ITS APPLICATIONS 2023
5
On the extent of the injectivity of direct sums of modules
Joint with Lopez-Permouth, Sergio R.
QUAESTIONES MATHEMATICAE 2023
6
On rings whose quasi-injective modules are injective or semisimple
JOURNAL OF ALGEBRA AND ITS APPLICATIONS 2022
7
Localizations at Prime Ideals in Bounded Rings
Joint with Akalan, Evrim
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 2017
8
Projective ideals of skew polynomial rings over HNP rings
Joint with Akalan, E., Aydogdu, P., Marubayashi, H., Ueda, A.
COMMUNICATIONS IN ALGEBRA 2017
9
Rings of Morita contexts which are maximal orders
Joint with Akalan, Evrim; Aydogdu, Pinar; Marubayashi, Hidetoshi
JOURNAL OF ALGEBRA AND ITS APPLICATIONS 2016
10
On Artinian rings with restricted class of injectivity domains
Joint with Aydogdu, Pinar
JOURNAL OF ALGEBRA 2013
11
On modules which satisfy the radical formula
Joint with Tıraş, Yücel
TURKISH JOURNAL OF MATHEMATICS 2013
12
ON SEMIPRIME SUBMODULES
COMMUNICATIONS IN ALGEBRA 2009
13
On Dedekind modules
Joint with Smith, Patrick F., Tıraş, Yücel
COMMUNICATIONS IN ALGEBRA 2007
14
Dedekind modules
Joint with Alkan, Mustafa; Tıraş, Yücel
COMMUNICATIONS IN ALGEBRA 2005

Projects

The Extent of Weak-injectivity of Direct Sums of Modules
Turkish Scientific and Technological Research Counsil | Researcher
2023 - 2025
Basic Modules and Isomorphism Problems for Graph Magma Algebras
Turkish Scientific and Technological Research Counsil | Researcher
2022 - 2024
Characterizing Ring Structure by Their Modules and Finiteness Conditions
Turkish Scientific and Technological Research Counsil | Conductor
2018 - 2022

Thesis Supervision

Butson-Hadamard Codes and Related Quantum Codes
Damla Acar
Doktora
2024
The Injective Profile Of A Ring And Its Effect On The Structure Of Rings
Nergiz Yuca
Yüksek Lisans
2020
Reductions of Ideals and Modules
Merve Akın
Yüksek Lisans
2017
Graded Rings, Modules, and Multiplicity
Damla Acar
Yüksek Lisans
2017
Factorization of Ideals in Commutative Domains and Some Generalizations of Dedekind Domains
Akif Vural
Yüksek Lisans
2015

Conferences

Courses Taught

MAT124 Mathematics II
MTK449 Cebirsel Kodlama Teorisine Giriş
MTK362 Uygulamalı Bilgisayar Cebiri
MTK466 Matematiksel Yazma Becerileri
MTK730 Sonlu Cisimler ve Uygulamaları
MTK628 İleri Doğrusal Cebir
MAT123 Mathematics I