Applications of maximal μ-open sets in generalized topology and quasi topology

• Autorzy: Bishwambhar Roy , Ritu Sen
• Języki publikacji: EN

Abstrakty

EN

In this paper, some fundamental properties of maximal μ-open sets such as decomposition theorem for a maximal μ-open set, are given in a generalized topological space. Some basic properties of intersection of maximal μ-open sets are established, cohere the law of μ-radical μ-closure in a quasi topological space is obtained, among the other things.

Słowa kluczowe

EN

μ-open set; maximal μ-open set; μ-radical

Kategorie tematyczne

• 54D99: None of the above, but in this section
• 54A05: Topological spaces and generalizations (closure spaces, etc.)

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 129-135

Daty

wydano

2013

otrzymano

2012-11-29

poprawiono

2013-05-22

Twórcy

autor

Bishwambhar Roy

• Department of Mathematics, Women's Christian College, 6,Greek Church Row, Kolkata-700 026, India

autor

Ritu Sen

• Department of Mathematics, S.A. Jaipuria College, 10, Raja Naba Krishna Street, Kolkata 700 005, India

Bibliografia

• [1] À. Csàszàr, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002) 351-357. doi: 10.1023/A:1019713018007.
• [2] À. Csàszàr, Generalized open sets in generalized topologies, Acta Math. Hungar. 106 (2005) 53-66. doi: 10.1007/s10474-005-0005-5.
• [3] À. Csàszàr, Remarks on quasi topologies, Acta Math. Hungar. 119 (2008) 197-200. doi: 10.1007/s10474-007-7023-4.
• [4] N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945) 300-320. doi: 10.2307/2371731.
• [5] W.K. Min, A note on quasi-topological spaces, Honam Math. Jour. 33 (2011) 11-17. doi: 10.5831/HMJ.2011.33.1.011.
• [6] F. Nakaoka and N. Oda, Some applications of minimal open sets, Int. Jour. Math. Math. Sci. 27(8) (2001) 471-476. doi: 10.1155/S0161171201006482.
• [7] F. Nakaoka and N. Oda, Some properties of maximal open sets, Int. Jour. Math. Math. Sci. 21 (2003) 1331-1340. doi: 10.1155/S0161171203207262.
• [8] B. Roy and R. Sen, Maximal μ-open and minimal μ-closed sets via generalized topology, Acta Math. Hungar. 136 (2012) 233-239. doi: 10.1007/s10474-012-0201-z.

Identyfikatory

DOI

10.7151/dmgaa.1209