论文信息 - psi-SECONDARY SUBMODULES OF A MODULE

psi-SECONDARY SUBMODULES OF A MODULE

Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and let M be an R-module. The aim of this paper is to introduce the notion of S-secondary submodules of M as a generalization of secondary submodules of M and investigate some properties of this class of submodules.

Faranak Farshadifar

[1] H. Ansari-Toroghy,et al. $$\psi $$-Second submodules of a module , 2020, 2001.05666.

[2] Ünsal Tekir,et al. On S-prime submodules , 2019, TURKISH JOURNAL OF MATHEMATICS.

[3] H. Ansari-Toroghy,et al. On the Dual Notion of Prime Submodules , 2012 .

[4] H. Ansari-Toroghy,et al. On the Dual Notion of Prime Submodules (II) , 2012 .

[5] H. Ansari-Toroghy,et al. On the Dual Notion of Multiplication Modules , 2011 .

[6] H. Ansari-Toroghy,et al. The Dual Notions of Some Generalizations of Prime Submodules , 2011 .

[7] D. D. Anderson,et al. Idealization of a Module , 2009 .

[8] H. Ansari-Toroghy,et al. THE DUAL NOTION OF MULTIPLICATION MODULES , 2007 .

[9] S. E. Atani,et al. ON MULTIPLICATION MODULES , 2006 .

[10] L. Fuchs. COMMUTATIVE IDEAL THEORY WITHOUT FINITENESS CONDITIONS: IRREDUCIBILITY IN THE QUOTIENT FIELD , 2005 .

[11] Floris Ernst,et al. Multiplicative Ideal Theory , 2004 .

[12] S. Yassemi. The dual notion of prime submodules , 2001 .

[13] A. Azizi,et al. ON PRIME SUBMODULES , 1999 .

[14] C. Faith. Rings whose modules have maximal submodules , 1995 .

[15] Michael Francis Atiyah,et al. Introduction to commutative algebra , 1969 .

[16] L. Fuchs. COMMUTATIVE IDEAL THEORY WITHOUT FINITENESS CONDITIONS : , 2006 .