C1 modules with respect to a hereditary torsion theory
Yıl: 2009 Cilt: 33 Sayı: 4 Sayfa Aralığı: 321 - 329 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
C1 modules with respect to a hereditary torsion theory
Öz: An R-module M is said to be a C1-module if every closed submodule of M is a direct summand. In this paper we introduce and investigate the concept of the τ -C1 module for a hereditary torsion theory τ on Mod-R. τ -C1 modules are a generalization of C1-modules.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Stenstr¨om, B.: Rings of Quotients, Berlin, Springer-Verlag 1975.
- [2] Golan, J.: Torsion Theories, Longman, Harlow 1986.
- [3] Dung, N.V., Huynh, D.V., Smith, P.F. and Wisbauer, R.: Extending Modules, Longman, Harlow 1994.
- [4] Nicholson, W.K. and Yousif, M.F.: Quasi-Frobenius rings , Cambridge Tracts in Mathematics 158. Cambridge University Press, Cambridge 2003.
- [5] Clark, J. and Charalambides, S.: CS modules relative to a torsion theory, Mediterranean Journal of Mathematics 4, 291-308 (2007).
- [6] Harmanci, A. and Smith, P.F.: Finite Direct Sums of CS-Modules, Houstan Journal of Mathematics 19, no. 4 (1993).
- [7] Rizvi, S. Tariq and Roman, Cosmin S.: Baer and Quasi Baer Modules, Communications in Algebra 32, no.1 (2004).
- [8] Wisbauer, R.: Foundations of Module and Ring Theory, Gordon and Breach, Reading 1991.
APA | ÖZEN ÖZTÜRK T (2009). C1 modules with respect to a hereditary torsion theory. , 321 - 329. |
Chicago | ÖZEN ÖZTÜRK TAHİRE C1 modules with respect to a hereditary torsion theory. (2009): 321 - 329. |
MLA | ÖZEN ÖZTÜRK TAHİRE C1 modules with respect to a hereditary torsion theory. , 2009, ss.321 - 329. |
AMA | ÖZEN ÖZTÜRK T C1 modules with respect to a hereditary torsion theory. . 2009; 321 - 329. |
Vancouver | ÖZEN ÖZTÜRK T C1 modules with respect to a hereditary torsion theory. . 2009; 321 - 329. |
IEEE | ÖZEN ÖZTÜRK T "C1 modules with respect to a hereditary torsion theory." , ss.321 - 329, 2009. |
ISNAD | ÖZEN ÖZTÜRK, TAHİRE. "C1 modules with respect to a hereditary torsion theory". (2009), 321-329. |
APA | ÖZEN ÖZTÜRK T (2009). C1 modules with respect to a hereditary torsion theory. Turkish Journal of Mathematics, 33(4), 321 - 329. |
Chicago | ÖZEN ÖZTÜRK TAHİRE C1 modules with respect to a hereditary torsion theory. Turkish Journal of Mathematics 33, no.4 (2009): 321 - 329. |
MLA | ÖZEN ÖZTÜRK TAHİRE C1 modules with respect to a hereditary torsion theory. Turkish Journal of Mathematics, vol.33, no.4, 2009, ss.321 - 329. |
AMA | ÖZEN ÖZTÜRK T C1 modules with respect to a hereditary torsion theory. Turkish Journal of Mathematics. 2009; 33(4): 321 - 329. |
Vancouver | ÖZEN ÖZTÜRK T C1 modules with respect to a hereditary torsion theory. Turkish Journal of Mathematics. 2009; 33(4): 321 - 329. |
IEEE | ÖZEN ÖZTÜRK T "C1 modules with respect to a hereditary torsion theory." Turkish Journal of Mathematics, 33, ss.321 - 329, 2009. |
ISNAD | ÖZEN ÖZTÜRK, TAHİRE. "C1 modules with respect to a hereditary torsion theory". Turkish Journal of Mathematics 33/4 (2009), 321-329. |