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School Of Information Technologies And Engineering

Rafail Alizade

Associate Professor

Mathematics

Email:

Office:

Joined ADA:

B214

2023

COURSES
  • Abstract Algebra
  • Group Theory
  • Combinatorial Analysis
  • Linear Algebra
  • Abelian Groups
EDUCATION
  • PhD, Lomonosov Moscow State University
  • BS/MS, Lomonosov Moscow State University
PUBLICATIONS
  • https://www.researchgate.net/profile/Rafail-Alizade
  • On global dimensions of inductively closed proper classes in the category of abelian groups. Izvestiya Akademii Nauk Azerb. SSR, ser. fiz.-tech. math. nauk, 2(1983), pp. 9-14.
  • On heredity of coprojective and coinjective properties for some proper classes. Izvestiya Akademii Nauk Azerb. SSR, ser. fiz.-tech. math. nauk, 5(1983), pp.. 3-7.
  • Cotorsion groups and functor lim-1. Izvestiya Akademii Nauk Azerb. SSR, ser. fiz. - tech. math. nauk, 6(1983), pp. 3-4.
  • On the global dimension of some proper classes. Uspechi. matem. nauk, 40:1(1985), pp. 181-182.
  • On Kepka's proper classes. Math. Notes, 37:2(1985), pp. 268-273.
  • On the proper classes of short exact sequences in the category of abelian groups. Math. Notes, 40:1(1986), pp. 3-15.
  • On Topology Induced by Bohr Compactification Indian Journal of Pure and Appl.Math. 30:11(1999) (Coauthor: A.Pancar)
  • Modules Whose Maximal Submodules Have Supplements Communications in Algebra, 29:6 (2001), 2389-2405 (Coauthors: G.Bilhan, P.Smith)
  • Special Precovers in Cotorsion Theories, Proceedings of Edinburgh Math. Society, 45(2002)pp.411-420 (Coauthor: K. Akıncı)
  • Cofinitely weak supplemented modules Communications in Algebra, 31:11 (2003), 5377-5390 (Coauthor: E. Büyükaşık)
  • Extensions of weakly supplemented modules Math. Scand. v. 103 ( 2008), 1 – 8 (Coauthor: E.Büyükaşık).
  • Cofinitely weak supplemented lattices Indian J. pure appl. Math. 40:5(2009), 1 - 9 (Coauthor: E.Toksoy).
  • Resolutions in cotorsion theories International Conference on Mathematical Science, 23-27 November 2010 , Bolu Turkey, AIP Conference Psoceedings 1309, pp.761-768 (Coauthor: K.Akıncı).
  • Cofinitely supplemented modular lattices. Arabian Journal for Science and Engineering, 36:6(2011), pp. 919-923 (Coauthor: E.Toksoy).
  • The Proper Class Generated by Weak Supplements Communications in Algebra 42(1) (2014), pp. 56-72 (Coauthors: Y.Demirci, Y. Durgun, D. Pusat-Yılmaz).
  • Rings and modules characterized by opposites of injectivity Journal of Algebra 409 (2014), pp. 182 – 198 (Coauthors: E.Büyükaşık, N.Er).
  • Small supplements, weak supplements and proper classes Hacettepe Journal of Mathematics and Statistics 45:3 (2016), 649-661 (Coauthors: E.Büyükaşık, Y. Durgun) Doi: 10.15672/HJMS.20164512507
  • Abelian Groups whose nonzero endomorphisms have nonessential kernels Journal of Algebra and Its Applications 16:1(2016),1750048 Coauthor: Surajo Ibrahim Isah)
  • Closures of Proper Classes Miskolc Mathematical Notes) 17:2(2016), pp.723-738 (Coauthor: Y.Demirci) DOI: 10.18514/MMN.2016.1566
  • Poor and pi-poor abelian groups Communications in Algebra 45(1)(2017), pp.420-427 (Coauthor: E.Büyükaşık) Doi: 10.1080/00927872.2016.1175585.
  • Test Modules for flatness Rendiconti Del Seminario Matematico Della Universita Di Padova 137(2017), pp. 75-91 (Coauthor: Y. Durgun)
  • Modules and abelian groups with minimal (pure-) projectivity domains Journal of Algebra and Its Applications 16:2 (2017) (Coauthor: D.D. Sipahi)
  • Co-coatomically supplemented modules Ukrainian Mathematical Journal 69:7 (2017), pp.1007-1018 (Coauthor: S. Güngör).
  • Co-coatomically supplemented and co-coatomically semiperfect modules Hacettepe Journal of Mathematics and Statistics, 47:6(2018),1417-1426(Coauthor: S.Güngör) Doi: 10.15672/HJMS.20154413844
  • Poor modules with no proper poor direct summands, Journal of Algebra, 502(2018), 24-44 (Coauthors: E. Büyükaşık, S. R.Lopez-Permouth, L. Yang)
  • On Rings with One Middle Class of Injectivity Domains. Mathematical Commu-nications 27(2022), 109-126 (Coauthors, Y.M.Demirci, B.N. Türkmen, E.Türkmen).
  • Pure Direct Projective Modules, Journal of Algebra and Its Applications (Coauthor: S.E.Toksoy).
  • Modules and abelian groups with restricted domain of projectivity (submitted) (Coauthor: D.D. Sipahi).
  • Rectractable and Coretractable Abelian Groups (submitted) (Coauthor: E.Büyükaşık)
  • On Purities Relative to Minimal Right Ide-als (to appear in Lobachevsky Journal of Math-ematics) (Coauthors: Y.Alagöz, E.Büyükaşık and S. Sağbaş).
  • Yusuf Alagöz, Rafail Alizade, Engin Buyükaşık and Selcuk Sağbaş, On Purities Relative to Minimal Right Ideals Lobachevskii Journal of Mathematics, 2023, Vol. 44, No. 7, pp. 2553–2562.
  • Rafail Alizade, Damla Dede Sipahi Modules and abelian groups with restricted domain of projectivity Journal of Algebra and Its Applications (2025) 2550173
  • On closures of proper classes. Proc. Baku Int. Topol. Conf., Baku, 1989, pp. 12-19.
  • Resolutions in cotorsion theories International Conference on Mathematical Science, 23-27 November 2010 , Bolu Turkey, AIP Conference Psoceedings 1309, pp.761-768. (Coauthor: Karen Akıncı).
  • On the global dimension of proper classes in the category of abelian groups. IX. All-Union symposium on group theory. Abstracts, Moscow, 1984, p. 171.
  • On embedding G ®G*. V. Tiraspol Sym-posium on the General Topology and its Applications. Abstracts, Kishinev, 1985, p. 6.
  • On Hart's proper classes. XVIII. All-Union Algebraic Conference, Abstracts, Kishinev,1985.
  • On proper classes including Text. Baku International topological Conference, Abstracts, part 1, Baku, 1987, p. 8.
  • Global dimension and some operations on proper classes. XIX. All-Union Algebraic Conference. Abstracts, Lvov, 1987.
  • On operations over proper classes of short exact sequences International Conf. Dedicated 90th Ann. of Pontryagin, Moscow 1998, p.10-11 (Coauthors:G.Bilhan,A.Pancar)
  • Cotorsion Theories and Resolutions International Congress of Mathematicians. Abstracts of Short Communications and Poster Sessions. Beijing, 2002, August 20-28, p.9. (Coauthor: K. Akıncı).
  • Cofinitely Weak Supplemented Lattices International Conference on Modules and Comodules Dedicated to Robert Wisbauer, 8-10 September 2006, Porto, Portugal, (Coauthor: E.Toksoy).
  • Resolutions in cotorsion theories International Conference on Mathematical Science, 23-27 November 2010 , Bolu Turkey, p.6 (Coauthor: Karen Akıncı).
  • The proper classes generated by complements and supplements International Conference on Algebra and Number Theory, Samsun, Turkey, 5 – 8 August 2014, p. 8 – 9.
  • Modules with restricted domain of projectivity. International Conference OFSMP-2019, Baku, Azerbaycan, 10-14 June 2019.
  • On direct sums of proper classes. Soochow Journal of Math. 23:4(1997), pp. 391-400. (Coauthors: G.Bilhan, A.Pancar)
  • Scalar Multiplication of Proper Classes Soochow Journal of Mathematics 30:2(2004), (Coauthors: A.Pancar, B.Sezen)
  • The Inductive Closure of Supplements Journal of the Faculty of Science Ege Univ. 27, 2004, p.33-48, http://sci.ege.edu.tr/~jfs/math_2004.html (Coauthor: E.Mermut)
  • On the Structure of Neat-Injective Envelopes Mathematica (Cluj) 46(69):2, 2004, (Coauthors: K.Akıncı, A.Imam)
  • Proper classes related with complements and supplements Palestine Journal of Mathematics 4(spec.1)(2015), 471-489 (Coauthor: E.Mermut)
  • Some properties of inductively closed proper classes in abelian groups. Proc. of Fourth Republ. Conf. of Young Scientists, Baku, 1983.
  • Functor lim1 and algebraically compact groups. Proc. of Fifth Republ. Conf. of Young Scientists, Baku, 1984, pp. 3-4.
  • Direct sums of proper classes of short exact sequences. VIII. National Math. Symp. Of Turkish Math. Association, Abstracts, Adana, 1995 (Coauthors: G.Bilhan, A.Pancar)
  • Modules Sharing a Common Flat Precover. Antalya Algebra Days II, May 17-21, 2000, Abstracts , p.1-2 (Coauthor: K. Akıncı).
  • On Cofinitely Supplemented Modules. Antalya Algebra Days II, May 17-21, 2000, Abstracts, p.2-3(Coauthors:G.Bilhan, P.Smith)
  • On the Structure of Neat-Injective Envelopes Antalya Algebra Days II, May 17-21, 2000, Abstracts , p.8 (Coauthors: A.Imam. K.Akıncı)
  • On λ- and μ- Dimensions of Modules, Antalya Algebra Days VII, 18-22 May 2005 (Coauthor: K.Akıncı).
  • On weakly Supplemented Modules Antalya Algebra Days VII, 18-22 May 2005 (Coauthor: E.Büyükaşık).
  • The inductive closure of the proper class of supplements in abelian groups, Antalya Algebra Days VII, 18-22 May 2005 (Coauthor: E.Mermut).
  • Absolutely supplement modules Antalya Algebra Days VII, 18-22 May 2005 (Coauthor: E.Toksoy).
  • Absolutely supplement modules Antalya Algebra Days VII, 18-22 May 2005 (Coauthor: E.Toksoy).
  • Amply Cofinitely Supplemented Lattices Antalya Algebra Days VIII, 17-21 May 2006 (Coauthor: E.Toksoy).
  • Extensions of weakly supplemented modules Antalya Algebra Days IX, 22-27 May 2007 (Coauthor: E.Büyükaşık).
  • Weakly supplemented Lattices Antalya Algebra Days IX, 22-27 May 2007 (Coauthor: E.Toksoy).
  • Proper class generated by submodules that have supplements Antalya Algebra Days X, 27-31 May 2008 (Coauthor: Y.Demirci).
  • Extensions of weakly supplemented lattices Antalya Algebra Days X, 27-31 May 2008 (Coauthor: E.Toksoy).
  • Totally supplemented Modules XXII National Mathematical Symposium, Şirince, İzmir, 30.08 - 03.09.2009, p.49 (Coauthor: Serpil Güngör).
  • Cofinitely supplemented Lattices XXII National Mathematical Symposium, Şirince, İzmir, 30.08 - 03.09.2009, p.71 (Coauthor: E.Toksoy)
  • On inductively closed proper classes in the category of abelian groups. Unpublished materials deposited at VINITI on 6.12.1982, No. 5971-82 DEP.
  • On R1R2 - projective modules. Unpublished materials deposited at VINITI on 6.12.1982 No. 5970-82 DEP (Coauthor: Fedin S.N.).
  • Homoloji Cebire Giriş, Samsun, 1999 (Coauthor: A.Pancar)
  • Sonlu Matematik, Olimpiyat Soruları ve Çözümleri. TÜBİTAK Yayınları, 2006. (Coauthor: Ü.Ufuktepe).
  • Sonlu Matematik, Olimpiyat Soruları ve Çözümleri (updated new edition). Altın Nokta Yayınları, 2011. (Coauthor: Ü.Ufuktepe).
  • Sonlu Matematik, Olimpiyat Soruları ve Çözümleri (updated new edition). Altın Nokta Yayınları, 2014. (Coauthor: Ü.Ufuktepe).
  • Sonlu Matematik, Olimpiyat Soruları ve Çözümleri (updated new edition). Altın Nokta Yayınları, 2020. (Coauthor: Ü.Ufuktepe).
  • Sonlu Matematik, Olimpiyat Soruları ve Çözümleri (updated new edition). Altın Nokta Yayınları, 2022. (Coauthor: Ü.Ufuktepe).
  • Matematik Olimpiyatlarına Hazırlık Denemeleri, Altın Nokta Yayınları, 2020. (Coauthors: Murat Şahin, Selçuk Sağbaş, Yunus Al).
  • Ortaokul Matematik Olimpiyatlarına Hazırlık Denemeleri, to appear in Altın Nokta Yayınları in 2023 (Coauthors: Murat Şahin, Selçuk Sağbaş, Yunus Al).
  • Column "Problemler ve Çözümleri" in the popular mathematical journal "Matematik Dünyası" since 2001.

Faculty:

Abzatdin Adamov

Dean
Jamaladdin Hasanov

Associate Professor, Director of BSIT Program
Rafail Alizade

Associate Professor
Samir Rustamov

Associate Professor, Director of BSCS Program
Araz Yusubov

Assistant Professor
Burcu Ramazanli

Assistant Professor
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