A Note On Strongly Gorenstein X-Flat Modules

Main Article Content

T. Selvaganesh
T. Manimaran
K. Subramanian
G. Selvaraj
R. Saravanakumar
Muthukrishnan Anand

Abstract

Mao and Ding introduced the concept of injective modules. D. Bennis and N. Mahdou introduced and studied the concept of strongly Gorenstein projective and injective modules. In this article, we have introduced and examined strongly Gorenstein-flat modules, which are the generalizations of strongly flat modules. Further, we have linked them with the strongly Gorenstein-projective modules

Downloads

Download data is not yet available.

Article Details

How to Cite
T. Selvaganesh, T. Manimaran, K. Subramanian, G. Selvaraj, R. Saravanakumar, & Muthukrishnan Anand. (2024). A Note On Strongly Gorenstein X-Flat Modules. Journal of Advanced Zoology, 45(S3), 82–86. https://doi.org/10.53555/jaz.v45iS3.4312
Section
Articles
Author Biographies

T. Selvaganesh

 Department of Mathematics, Ramco Institute of Technology, Rajapalayam – 626 117, Tamilnadu, India

 

T. Manimaran

 Department of Mathematics, Ramco Institute of Technology, Rajapalayam – 626 117, Tamilnadu, India

 

K. Subramanian

 Department of Mathematics, Ramco Institute of Technology, Rajapalayam – 626 117, Tamilnadu, India

 

G. Selvaraj

 Department of Mathematics, Ramco Institute of Technology, Rajapalayam – 626 117, Tamilnadu, India

 

R. Saravanakumar

 Department of Mathematics, Ramco Institute of Technology, Rajapalayam – 626 117, Tamilnadu, India

 

Muthukrishnan Anand

 Department of Mathematics, Ramco Institute of Technology, Rajapalayam – 626 117, Tamilnadu, India

References

F. W. Anderson and K.R. Fuller, Rings and Categories of Modules, 2nd ed., Springer-Verlag, New York 1992.

I. Bican, R. El Bashir, and E.E. Enochs, All modules have flat covers, Bull. London Math. Soc. 33 (2001), 385-390.

D. Bennis and N. Mahdou, Strongly Gorenstein projective, injective and flat modules, J.Pure Appl. Algebra 210 (2007), 437-445.

J. L. Chen, P-projective modules, Comm. Algebra 24 (1996), 821-831.

L.W. Christensen,Gorenstein Dimensions, in: Lecture Notes in Math., vol. 1747, Springer, Berlin, 2000.

H. Holm, Gorenstein homological dimensions, J. Pure Appl. Algebra 189 (2004), 167-193.

L. Mao and N. Q. Ding, L-injective hulls of modules, Bull. Aus. Math. Soc. 74 (2006), 37-44.

K. Pinzon, Absolutely pure covers, Comm. in Algebra 36(6) (2008), 2186-2194.

J. J. Rotman, An Introduction to Homological Algebra, Academic Press, New York 1979.

J. Trlifaj, Infinite dimensional tilting modules and cotorsion pairs, Hand book of tilting theory, Lect. Notes 332, London Math. Soc., Cambridge Univ. Press, Cambridge 2007, pp 279-321