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  1. No Access

    Article

    On the genus of dot product graph of a commutative ring

    In this paper, we study the topological graph theoretic properties such as planarity, toroidality and bi-toroidality of the total dot product graph of a commutative ring. In particular, we characterize an isom...

    K. Selvakumar, V. Ramanathan, C. Selvaraj in Indian Journal of Pure and Applied Mathematics (2023)

  2. No Access

    Article

    On n-Weak Cotorsion Modules

    Let R be a ring and n a fixed non-negative integer. In this paper, n-weak cotorsion modules are introduced and studied. A right R-module N is called n-weak cotorsion module if

    C. Selvaraj, P. Prabakaran in Lobachevskii Journal of Mathematics (2018)

  3. No Access

    Article

    Gorenstein n-FP-injective and Gorenstein n-flat complexes

    In this paper, we introduce and study the notions of Gorenstein n-FP-injective and Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and Gorenstein flat complexes respectively. We pr...

    C. Selvaraj, R. Saravanan in Bollettino dell'Unione Matematica Italiana (2018)

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    Article

    Gorenstein FI-flat dimension and relative homology

    In this paper, we study some properties and behavior of finite Gorenstein FI-flat dimension through the methods of relative homological algebra.

    B. Vasudevan, R. Udhayakumar, C. Selvaraj in Afrika Matematika (2017)

  5. No Access

    Article

    Stability of Gorenstein X-flat modules

    In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the class of all Gorenstein X-...

    C. Selvaraj, A. Umamaheswaran in Lobachevskii Journal of Mathematics (2016)

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    Chapter and Conference Paper

    n-Strongly Gorenstein Projective and Injective Complexes

    In this paper, we introduce and study the notions of n-strongly Gorenstein projective and injective complexes, which are generalizations of n-strongly Gorenstein projective and injective modules, respectively. Fu...

    C. Selvaraj, R. Saravanan in Algebra and its Applications (2016)

  7. No Access

    Article

    Derived Functors of Hom Relative to n-Flat Covers

    In this paper, we introduce the notion of n-flat covers of modules and prove that every module over any ring admits an n-flat cover. Then, we give some criteria for computing left and right

    C. Selvaraj, R. Udhayakumar in Vietnam Journal of Mathematics (2015)

  8. No Access

    Article

    Gorenstein \(n\) -flat dimension and Tate homology

    In this paper, we investigate Tate homology \(\widehat{tor}\) ...

    C. Selvaraj, R. Udhayakumar in Bollettino dell'Unione Matematica Italiana (2015)