On Closed Fully Stable Acts
Keywords:
closed fully stable act, extending act, quasi-injective act, closed fully pseudo act.
Abstract
The purpose of this paper is to introduce and study closed fully stable acts as a concept of generalization of fully stable acts. Some properties and characterizations of the class of closed fully stable acts are considered.T he relations between this class and other well classes of acts, like quasi-injective acts and other classes of injectivity are discussed.
References
References
[1] M . Kilp , U . Knauer and A .V . Mikhalev , 2000 , Monoids acts and categories with applications to wreath products and graphs , Walter de Gruyter . Berlin . New York .
[2] M.S. Abbas , On fully stable modules, PhD thesis, Univ. of Baghdad, 1990.
[3] R.B.Hiba , 2014 , On fully stable acts, MSC thesis , College of Science , University of Al-Mustansiriyah .
[4] A.Shaymaa,2016, Pseudo C-M-Injective and Pseudo C-Quasi Principally Injective Systems Over Monoids, Journal of Progressive Research in Mathematics,Vol.6,Issue3,pp. 788-802.
[5] A.Shaymaa, Extending and P-extending S-act over Monoids , International Journal of Advanced Scientific and Technical Research ,Vol.2 , Issue 7 , March-April 2017 , pp.171-178.
[6] M.S. Abbas and A. A.Mustafa , 2015 , Fully pseudo stable S-systems , Journal of Advances in Mathematics ,Vol .10 , No.3 , 3356-3361 .
[7] M. Ershad and M.Roueentan, 2014 ,Strongly duo and duo right S-acts , Italian Journal of Pure and Applied Mathematics ,Vol. 32 , 143-154.
[8] A.Shaymaa, 2015, Generalizations of quasi injective systems over monoids, PhD. thesis, College of Science, University of Al-Mustansiriyah , Baghdad , Iraq .
[1] M . Kilp , U . Knauer and A .V . Mikhalev , 2000 , Monoids acts and categories with applications to wreath products and graphs , Walter de Gruyter . Berlin . New York .
[2] M.S. Abbas , On fully stable modules, PhD thesis, Univ. of Baghdad, 1990.
[3] R.B.Hiba , 2014 , On fully stable acts, MSC thesis , College of Science , University of Al-Mustansiriyah .
[4] A.Shaymaa,2016, Pseudo C-M-Injective and Pseudo C-Quasi Principally Injective Systems Over Monoids, Journal of Progressive Research in Mathematics,Vol.6,Issue3,pp. 788-802.
[5] A.Shaymaa, Extending and P-extending S-act over Monoids , International Journal of Advanced Scientific and Technical Research ,Vol.2 , Issue 7 , March-April 2017 , pp.171-178.
[6] M.S. Abbas and A. A.Mustafa , 2015 , Fully pseudo stable S-systems , Journal of Advances in Mathematics ,Vol .10 , No.3 , 3356-3361 .
[7] M. Ershad and M.Roueentan, 2014 ,Strongly duo and duo right S-acts , Italian Journal of Pure and Applied Mathematics ,Vol. 32 , 143-154.
[8] A.Shaymaa, 2015, Generalizations of quasi injective systems over monoids, PhD. thesis, College of Science, University of Al-Mustansiriyah , Baghdad , Iraq .
Published
2018-11-30
How to Cite
KAREEM, S. A. A.-. (2018, November 30). On Closed Fully Stable Acts. EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212), 4(11), 01-05. Retrieved from https://ephjournal.com/index.php/ms/article/view/1067
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