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Linear \v{C}ech closure spaces | ||
Journal of Linear and Topological Algebra | ||
مقاله 2، دوره 07، شماره 04، بهمن 2018، صفحه 261-268 اصل مقاله (124.68 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
T. M. Chacko* 1؛ D. Susha2 | ||
1Department of Mathematics, Christian College, Chengannur-689122, Kerala, India | ||
2Department of Mathematics, Catholicate College, Pathanamthitta-689645, Kerala, India | ||
چکیده | ||
In this paper, we introduce the concept of linear \v{C}ech closure spaces and establish the properties of open sets in linear \v{C}ech closure spaces (L\v{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $\gamma$-open sets, sgc-dense sets and compact sets in L\v{C}CS. We also discuss the concept of relative \v{C}ech closure operator, meet and product linear \v{C}ech closure operators. Lastly, we describe the Moore class on the L\v{C}CS and prove that it is a vector lattice with sufficient properties. | ||
کلیدواژهها | ||
Linear v{C}ech closure spaces؛ semi-open sets؛ g-semi open sets؛ $gamma$-open sets؛ sgc-dense sets؛ relative v{C}ech closure operator؛ Moore class؛ vector lattice | ||
مراجع | ||
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[6] J. Khampakdee, Semi open sets in closure spaces, Ph.D. thesis, Bruno University, 2009.
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[9] T. A. Sunitha, A study on Cech closure spaces, Ph.D. thesis, Cochin University, 1994.
[10] U. M. Swamy, R. S. Rao, Algebraic topological closure operators, Southeast. Asian. Bull. Math. 26 (4) (2003), 669-678.
[11] B. Venkateswarlu, Morphisms an closure spaces and Moore spaces, IJPAM. 91 (2) (2014), 197-207. | ||
آمار تعداد مشاهده مقاله: 374 تعداد دریافت فایل اصل مقاله: 593 |