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Quasi-Frobenius Rings
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  • Cited by 69
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Abuhlail, Jawad and Lomp, Christian 2016. On topological lattices and their applications to module theory. Journal of Algebra and Its Applications, Vol. 15, Issue. 03, p. 1650046.


    Arabi-Kakavand, M. Asgari, Sh. and Tolooei, Y. 2016. Rings Over Which Every Module Is Almost Injective. Communications in Algebra, Vol. 44, Issue. 7, p. 2908.


    Fu, X. H. and Herzog, I. 2016. Powers of the phantom ideal. Proceedings of the London Mathematical Society, Vol. 112, Issue. 4, p. 714.


    Hai, P. T. 2016. On generalizations of ADS modules and rings. Lobachevskii Journal of Mathematics, Vol. 37, Issue. 3, p. 323.


    Hai, Phan The 2016. On modules and rings satisfy condition (𝒞). Asian-European Journal of Mathematics, Vol. 09, Issue. 02, p. 1650045.


    Ibrahim, Yasser Koşan, M. Tamer Quynh, Truong Cong and Yousif, Mohamed 2016. Simple-Direct-Projective Modules. Communications in Algebra, Vol. 44, Issue. 12, p. 5163.


    Koike, Kazutoshi and Oshiro, Kiyoichi 2016. Recent development of Faith conjecture. Frontiers of Mathematics in China, Vol. 11, Issue. 4, p. 933.


    Koşan, M. Tamer Ha, Nguyen Thi Thu and Quynh, Truong Cong 2016. Rings for which every cyclic module is dual automorphism-invariant. Journal of Algebra and Its Applications, Vol. 15, Issue. 05, p. 1650078.


    Shen, Liang 2016. A Note on the Faith–Menal Conjecture. Communications in Algebra, Vol. 44, Issue. 1, p. 95.


    Zhao, Liang and Zhou, Yiqiang 2016. DC-projective dimensions, Foxby equivalence and SDC-projective modules. Journal of Algebra and Its Applications, Vol. 15, Issue. 06, p. 1650111.


    Bennis, Driss Hu, Kui and Wang, Fanggui 2015. Gorenstein Analogue of Auslander's Theorem on the Global Dimension. Communications in Algebra, Vol. 43, Issue. 1, p. 174.


    Birkenmeier, G. F. Ghirati, M. and Taherifar, A. 2015. When is a Sum of Annihilator Ideals an Annihilator Ideal?. Communications in Algebra, Vol. 43, Issue. 7, p. 2690.


    Quynh, Truong Cong and Koşan, M. Tamer 2015. On automorphism-invariant modules. Journal of Algebra and Its Applications, Vol. 14, Issue. 05, p. 1550074.


    Shen, L. and Chen, J. 2015. C2 Property of Column Finite Matrix Rings. Ukrainian Mathematical Journal, Vol. 66, Issue. 12, p. 1933.


    Tribak, Rachid 2015. On Weak Dual Rickart Modules and Dual Baer Modules. Communications in Algebra, Vol. 43, Issue. 8, p. 3190.


    Asgari, Shadi Haghany, A. and Rezaei, A. R. 2014. Modules Whoset-Closed Submodules Have a Summand as a Complement. Communications in Algebra, Vol. 42, Issue. 12, p. 5299.


    Doğruöz, S. Harmanci, A. and Smith, P. F. 2014. Modules with Unique Closure Relative to a Torsion Theory. III. Ukrainian Mathematical Journal, Vol. 66, Issue. 7, p. 1028.


    Habibi, M. and Moussavi, A. 2014. Annihilator Properties of Skew Monoid Rings. Communications in Algebra, Vol. 42, Issue. 2, p. 842.


    Koşan, M. Tamer and Quynh, Truong Cong 2014. On essential extensions of direct sums of either injective or projective modules. Journal of Algebra and Its Applications, Vol. 13, Issue. 07, p. 1450038.


    Quynh, Truong Cong and Koşan, M. Tamer 2014. On ADS Modules and Rings. Communications in Algebra, Vol. 42, Issue. 8, p. 3541.


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    Quasi-Frobenius Rings
    • Online ISBN: 9780511546525
    • Book DOI: https://doi.org/10.1017/CBO9780511546525
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Book description

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom functor and the duality related to annihilators. The present extent of the theory is vast, and this book makes no attempt to be encyclopedic; instead it provides an elementary, self-contained account of the basic facts about these rings at a level allowing researchers and graduate students to gain entry to the field.

Reviews

'Summing up, this book is a research monograph with up-to-date information on QF-rings and provides a self-contained and very readable introduction to the topics …'.

Source: Zentralblatt MATH

'The authors have achieved two seemingly incompatible goals: to provide an elementary introduction to the classical theory of quasi-Frobenius rings, and to bring the reader up to the current research in the field. This makes the book interesting both for graduate students and researchers in contemporary module theory.’

Source: EMS Newsletter

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