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Uniformities on OCP-polygroups | ||
| Journal of Hyperstructures | ||
| دوره 7، شماره 2، اسفند 2018، صفحه 104-123 اصل مقاله (351.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2018.2695 | ||
| نویسندگان | ||
| Manoranjan Singha* 1؛ KOUSIK DAS2؛ Bijan Davvaz3 | ||
| 1Department of Mathematics, University of North Bengal, P.O.Box 734013, Darjeeling, India | ||
| 2DEPARTMENT OF MATHEMATICS, UNIVERSITY OF NORTH BENGAL | ||
| 3Department of Mathematics, Yazd University, P.O.Box 89195-741, Yazd, Iran | ||
| چکیده | ||
| A topological polygroup where every open subset is a complete part is called OCP-polygroup. Different uniform structures are built on OCP-polygroups as well as on their quotients and studied some related results including Roelcke uniformity. | ||
| کلیدواژه‌ها | ||
| Topological polygroup؛ OCP-polygroup؛ left OCP-polygroup uniformity؛ right OCP-polygroup uniformity؛ two-sided OCP-polygroup uniformity؛ Roelcke uniformity | ||
| مراجع | ||
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[1] H. Aghabozorgi, B. Davvaz and M. Jafarpour, Solvable polygroups and derived subpolygroups, Communications in Algebra, 41(8) (2013) 3098-3107. [2] R. Ameri, Topological (transposition) hypergroups, Ital. J. Pure Appl. Math.,13 (2003) 171-176. [3] S.M. Anvariyeh, S. Mirvakili and B. Davvaz, Combinatorial aspects of n-ary polygroups and n-ary color schemes, European Journal of Combinatorics, 34 (2013) 207-216. [4] A. Arhangel’skii and M. Tkachenko, Topological Groups and Related Structures, Atlantis Press/World Scientific, 2008. [5] P. Bonansinga and P. Corsini, Sugli omomorfismi di semi-ipergruppi e di iper-gruppi,Boll.Un.Mat.Italy,1-B(1982)717-727. [6] S.D. Comer, Polygroups derived from cogroups, J. Algebra 89 (1984) 397-405. [7] S.D. Comer, Extension of polygroups by polygroups and their representations using colour schemes, Lecture notes in Math., No. 1004, Universal Algebra and Lattice Theory, (1982) 91-103. [8] S.D. Comer, A remark on chromatic polygroups, Congr. Numer., 38 (1983) 85-95. [9] S.D. Comer, Combinatorial aspects of relations, Algebra Universalis, 18 (1984) 77-94. [10] P. Corsini, Prolegomena of Hypergroup Theory, Second edition, Aviani Editore,1993. [11] P. Corsini and V. Leoreanu, Applications of Hyperstructures Theory, Advances in Mathematics, Kluwer Academic Publisher, 2003. [12] B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. [13] B. Davvaz and M. Alp, Cat1-polygroups and pullback cat1 -polygroups, Bull. Ira-nian Math. Soc., 40(3) (2014) 721-735. [14] B. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications, Inter-national Academic Press, 115, Palm Harber, USA, 2007. [15] M. Dresher and O. Ore, Theory of multigroups, Amer. J. Math., 60 (1938) 705-733. [16] D. Freni, A note on the core of a hypergroup and the transitive closure β∗ of β, Riv. Mat. Pura Appl., 8 (1991) 153-156. [17] D. Heidari, B. Davvaz and S.M.S. Modarres, Topological hypergroups in the sense of Marty, Communications in Algebra, 42 (2014) 4712-4721. [18] D. Heidari, B. Davvaz and S.M.S. Modarres, Topological polygroups, Bull. Malays. Math. Sci. Soc., 39 (2016) 707-721. [19] E. Hewitt, K. A. Ross, Abstract Harmonic Analysis, Vol. I. Berlin, Gottingen, Heidelberg: Springer Verlag, 1963. [20] S. Hoskova-Mayerova, Topological hypergroupoids, Comput. Math. Appl., 64(9)(2012) 2845-2849. [21] S.N. Hosseini, S.Sh. Mousavi and M.M. Zahedi, Category of polygroup objects,Bull. Iranian Math. Soc., 28 (2002) 67-86. [22] T. Husain, Introduction to Topological Groups, W. B. Saunders Company, 1966. [23] S. Ioulidis, Polygroups et certains de leurs properietes, Bull. Greek Math. Soc.,22 (1981) 95-104. [24] M. Jafarpour, H. Aghabozorgi and B. Davvaz, On nilpotent and solvable poly-groups, Bull. Iranian Math. Soc., 39(3) (2013) 487-499. [25] M. Koskas, Groupoides, demi-hypergroupes et hypergroupes, J. Math. Pures Appl., 49(9) (1970) 155-192. [26] F. Marty, Sur une g´en´eralization de la notion de groupe, 8th Congress Math. Scandenaves, Stockholm, (1934) 45-49. [27] R. Migliorato, On the complete hypergroups, Riv. Di Mat. Pura e Appl., 12 (1994) 21-31. [28] S. Mirvakili and B. Davvaz, Application of fundamental relations on n-ary poly-groups, Bull. Iranian Math. Soc., 38(1) (2012) 169-184. [29] S. Mirvakili, M. Farshi and B. Davvaz, On wreath product of n-polygroups, Journal of Algebra and its Applications, 14(4) (2015) 1550060 (18 pages). [30] J. Mittas, Hypergroups canoniques, Mathematica Balkanica, 2 (1972) 165-179. [31] W. Roelcke and S. Dierolf, Uniform Structures on Topological Groups and their Quotients, McGraw-Hill International Book Company, 1979. [32] M. Singha, K. Das and B. Davvaz, On topological complete hypergroups, Filo-mat, 31(16) (2017) 5045-5056. [33] M.S. Shadkami, M. R. Ahmadi Zand, B. Davvaz, The role of complete parts in topological polygroups, Int. J. Anal. Appl., 11(1) (2016) 54-60. [34] M.S. Shadkami, M. R. Ahmadi Zand and B. Davvaz, Left Big Subsets of Topo-logical Polygroups, Filomat, 30(12) (2016) 3139-3147. [35] M. S. Tallini, Hypergroups and geometric spaces, Ratio Mathematica, 22 (2012)69-84. [36] T. Vougiouklis, Hyperstructures and their Representations, Hadronic Press, Inc,115, Palm Harber, USA, 1994. | ||
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