• On Hollow-Lifting Modules 

      Orhan, Nil; Tuetuencue, Derya Keskin; Tribak, Rachid (Mathematical Soc Rep China, 2007)
      Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N of M such that M/N is hollow has a coessential submodule that is a direct summand of M. We prove that every amply supplemented ...
    • On Jacobson And Nil Radicals Related To Polynomial Rings 

      Kwak, Tai Keun; Lee, Yang; Ozcan, A. Cigdem (Korean Mathematical Soc, 2016)
      This note is concerned with examining nilradicals and Jacobson radicals of polynomial rings when related factor rings are Armendariz. Especially we elaborate upon a well-known structural property of Armendariz rings, ...
    • On Modules And Matrix Rings With Sip-Extending 

      Karabacak, F.; Tercan, A. (Mathematical Soc Rep China, 2007)
      In this note we study modules with the property that the intersection of two direct summands is essential in a direct summand (SIP-extending). Amongst other results we show that the class of right SIP-extending modules is ...
    • On Partial Derivatives Of The Incomplete Beta Function 

      Ozcag, Emin; Ege, Inci; Gurcay, Hasmet; Jolevska-Tuneska, Biljana (Pergamon-Elsevier Science Ltd, 2008)
      The incomplete beta function B(x) (a, b) is defined for a, b > 0 and 0 < x < 1 and its definition was extended to negative integer values of a and b in [E. Ozcag, I. Ege, H. Gurcay, An extension of the incomplete beta ...
    • On Powers Of The Heaviside Function For Negative Integers 

      Ozcag, Emin; Ege, Inci; Gurcay, Hasmet (Academic Press Inc Elsevier Science, 2007)
      The distributions (x(+)(r))(-s) and (x(+)(r))_(-s) were defined as the neutrix limit of the sequences ((x(+)(r))(-s))n and ((x(+)(r))_(-s))n respectively for r, s = 1, 2,..., see [J.D. Nicholos, B. Fisher, The distribution ...
    • On Prime Submodules 

      Alkan, Mustafa; Tiras, Yuecel (Rocky Mt Math Consortium, 2007)
    • On Pseudo Symmetric Monomial Curves 

      Sahin, Mesut; Sahin, Nil (Taylor & Francis Inc, 2018)
      We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of these toric ideals, give a characterization for ...
    • On Rad-D-12 Modules 

      Talebi, Yahya; Hamzekolaee, Ali Reza Moniri; Tutuncu, Derya Keskin (Ovidius Univ Press, 2013)
      Let M be a right R-module. We call M Rad-D-12, if for every submodule N of M, there exist a direct summand K of M and an epimorphism alpha : K -> M/N such that Ker alpha subset of Rad(K). We show that a direct summand of ...
    • On Some Variations Of Multifunction Continuity 

      Kanibir, A; Reilly, I.L. (2008)
    • On T-Noncosingular Modules 

      Tutuncu, Derya Keskin; Tribak, Rachid (Cambridge Univ Press, 2009)
      In this paper we introduce T-noncosingular modules. Rings for which all right modules are T-noncosingular are shown to be precisely those for which every simple right module is injective. Moreover, for any ring R we show ...
    • On The Monodromy Of Milnor Open Books 

      Altinok, Selma; Bhupal, Mohan (Scientific Technical Research Council Turkey-Tubitak, 2018)
      We present some techniques that can be used to factorize the monodromy of certain Milnor open books. We also describe a class of Milnor open books for which we can explicitly express the monodromy as a product of Dehn twists.
    • On The Noncommutative Neutrix Product Of Distributions 

      Ozcag, Emin; Ege, Inci; Guercay, Hasmet; Jolevska-Tuneska, Biljana (Hindawi Publishing Corporation, 2007)
      Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequence converging to the Dirac-delta function delta( x). The noncommutative neutrix product f circle g of f and g is defined ...
    • On The Second Equation Of Obata 

      Erkekoglu, Fazilet (Mathematical Soc Rep China, 2011)
      In this paper we prove some results related to a certain vector field satisfying the second equation of Obata [8] on vector fields.
    • One-Dimensional Rings Of Finite Cohen-Macaulay Type 

      Cimen, N (Elsevier Science Bv, 1998)
      Let R be a commutative one-dimensional reduced local Noetherian ring whose integral closure (R) over tilde (in its total quotient ring) is a finitely generated R-module. We settle the last remaining unkown case of the ...
    • Open Book Decompositions and Contact Surgeries 

      Yıldırım, Yasemin (Fen Bilimleri Enstitüsü, 2018)
      By Alexander it was shown that an open book decomposition can be found for each closed, oriented 3-manifold. In this thesis, the importance of open book decompositions in terms of contact 3-manifolds will be studied by ...
    • Paracompactness And Full Normality In Ditopological Texture Spaces 

      Brown, LM; Diker, M (Academic Press Inc, 1998)
      In this paper the authors lay the foundation for a theory of dicovers of ditopological texture spaces and use this to define notions of paracompactness and full normality. Some applications to fuzzy topology are also ...
    • Pi-Extendıng Modüllerin Dik Toplananları Üzerine 

      Yaşar, Ramazan (Fen Bilimleri Enstitüsü, 2015)
      This work consists of five chapters. In the first chapter, the basic properties of useful certain kind of submodules in module and ring theory which are named as essential and complement submodules are given. In the second ...
    • Plain Ditopological Texture Spaces 

      Tiryaki, Ismail U.; Brown, Lawrence M. (Elsevier Science Bv, 2011)
      Using the characterization of plain textures in terms of posets given by Mustafa Demirci (M. Demirci, Textures and C-spaces, Fuzzy Sets and Systems 158 (11) (2007) 1237-1245), the authors consider the important class of ...