No Access

Co-2-absorbing preradicals and submodules

Ahmad Yousefian Darani

Department of Mathematics and Applications, University of Mohaghegh Ardabili, P. O. Box 179, Ardabil, Iran

Search for more papers by this author

and

Hojjat Mostafanasab

Department of Mathematics and Applications, University of Mohaghegh Ardabili, P. O. Box 179, Ardabil, Iran

Search for more papers by this author

https://doi.org/10.1142/S0219498815501133Cited by:5 (Source: Crossref)

Abstract

In this paper, we define the concept of "co-2-absorbing" for preradicals and submodules. Also, we investigate the relationship between co-2-absorbing preradicals and co-2-absorbing submodules.

Keywords:

AMSC: Primary: 16N99, Primary: 16S99, Secondary: 06C05, Secondary: 16N20

References

D. F. Anderson and A. Badawi , Comm. Algebra 39 , 1646 ( 2011 ) . Crossref, Web of Science, Google Scholar
A. Badawi , Bull. Austral. Math. Soc 75 , 417 ( 2007 ) . Crossref, Web of Science, Google Scholar
L. Bican , T. Kepka and P. Nemec , Rings, Modules and Preradicals ( Marcel Dekker , New York , 1982 ) . Google Scholar
J. Clark et al. , Lifting Modules, Supplements and Projectivity in Module Theory ( Birkhäuser , 2006 ) . Google Scholar
R. Fernández-Alonso , S. Gavito and H. Chimal-Dzul , Int. Electr. J. Algebra 9 , 38 ( 2011 ) . Google Scholar
A. I. Kashu, Bull. Acad. Ştiinte Repub. Mold. Mat. 2(66), 5 (2011). Google Scholar
A. I. Kashu, Bull. Acad. Ştiinte Repub. Mold. Mat. 2(69), 59 (2012). Google Scholar
M. Luísa Galv ao, Modules and Comodules, Trends in Mathematics (Birkhäuser, 2008) pp. 203–225. Google Scholar
F. Raggiet al., Comm. Algebra 30(3), 1533 (2002). Crossref, Web of Science, Google Scholar
F. Raggiet al., J. Algebra Appl. 1(2), 201 (2002). Link, Web of Science, Google Scholar
F. Raggi et al. , J. Pure Appl. Algebra 190 , 251 ( 2004 ) . Crossref, Web of Science, Google Scholar
F. Raggiet al., J. Algebra Appl. 4(4), 451 (2005). Link, Web of Science, Google Scholar
F. Raggiet al., J. Algebra Appl. 8(1), 1 (2009). Link, Web of Science, Google Scholar
F. Raggi et al. , Comm. Algebra 37 , 2811 ( 2009 ) . Crossref, Web of Science, Google Scholar
F. Raggi , J. Ríos and R. Wisbauer , J. Pure Appl. Algebra 200 , 51 ( 2005 ) . Crossref, Web of Science, Google Scholar
D. K. Tütüncü and Y. Kuratomi , Math. J. Okayama Univ. 52 , 111 ( 2010 ) . Google Scholar
A. Yousefian Darani and F. Soheilnia, Thai J. Math. 9(3), 577 (2011). Google Scholar
A. Yousefian Darani and H. Mostafanasab, J. Algebra Appl. 14(2), 22 (2015). Google Scholar
R. Wisbauer , Foundations of Module and Ring Theory ( Gordon and Breach , Philadelphia , 1991 ) . Google Scholar