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

Discussiones Mathematicae - General Algebra and Applications (2013)

- Volume: 33, Issue: 2, page 129-135
- ISSN: 1509-9415

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topBishwambhar Roy, and Ritu Sen. "Applications of maximal μ-open sets in generalized topology and quasi topology." Discussiones Mathematicae - General Algebra and Applications 33.2 (2013): 129-135. <http://eudml.org/doc/270236>.

@article{BishwambharRoy2013,

abstract = {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.},

author = {Bishwambhar Roy, Ritu Sen},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {μ-open set; maximal μ-open set; μ-radical; -open set; maximal -open set; -radical},

language = {eng},

number = {2},

pages = {129-135},

title = {Applications of maximal μ-open sets in generalized topology and quasi topology},

url = {http://eudml.org/doc/270236},

volume = {33},

year = {2013},

}

TY - JOUR

AU - Bishwambhar Roy

AU - Ritu Sen

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

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2013

VL - 33

IS - 2

SP - 129

EP - 135

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/270236

ER -

## References

top- [1] À. Csàszàr, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002) 351-357. doi: 10.1023/A:1019713018007. Zbl1006.54003
- [2] À. Csàszàr, Generalized open sets in generalized topologies, Acta Math. Hungar. 106 (2005) 53-66. doi: 10.1007/s10474-005-0005-5. Zbl1076.54500
- [3] À. Csàszàr, Remarks on quasi topologies, Acta Math. Hungar. 119 (2008) 197-200. doi: 10.1007/s10474-007-7023-4. Zbl1164.54002
- [4] N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945) 300-320. doi: 10.2307/2371731. Zbl0060.07305
- [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. Zbl1009.54001
- [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. Zbl1076.54501
- [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. Zbl1299.54010

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