- 期刊
TAG-MODULES WITH COMPLEMENT SUBMODULES H-PURE
摘要
The concept of a QTAG-module MR was given by Singh[8]. The structure theory of such modules has been developed on similar lines as that of torsion abelian groups. If a module M_R is such thatM⊕Mis a QTAG-module, it is called a strongly TAG-module. This in turn leads to the concept of a primary TAG-module and its periodicity. In the present paper some decomposition theorems for those primary TAG-modules in which all h-neat submodules are h-pure are proved. Unlike torsion abelian groups, there exist primary TAG-modules of infinite periodicities. Such modules are studied in the last section. The results proved in this paper indicate that the structure theory of primary TAG-modules of infinite periodicity is not very similar to that of torsion abelian groups.
延伸閱讀
- 蔡亮宙、戴源良、陳冠宇（2007）。Modules Design of the Hot-Swappable Embedded System。電腦學刊，17(4)，97-112。https://www.airitilibrary.com/Article/Detail?DocID=19911599-200701-17-4-97-112-a
- Wei, Z., Zhang, Q., Zhang, Y., & Wang, C. (2015). Simple Modules for Modular Lie Superalgebras W(0 | n), S(0 | n), and K(n). Advances in Mathematical Physics, 2015(), 179-186. https://doi.org/10.1155/2015/250570
- IDELHADJ, A., & TRIBAK, R. (2003). ON SOME PROPERTIES OF ⊕-SUPPLEMENTED MODULES. International Journal of Mathematics and Mathematical Sciences, 2003(), 4373-4387-320. https://doi.org/10.1155/S016117120320346X
- Atani, S. E., & Darani, A. Y. (2009). Primal Submodules of Multiplication Modules. Tamkang Journal of Mathematics, 40(1), 15-18. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200903-201210250013-201210250013-15-18
- Khan, M. Z., & Varshney, G. (2014). On h-Purifiable Submodule of QTAG-Module. Tamkang Journal of Mathematics, 45(3), 251-258. https://doi.org/10.5556/j.tkjm.45.2014.945