American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.


Ratna Sarma

Editorial Board Member of American Journal of Mathematics and Statistics

Associate Professor, Rajdhani College, University Of Delhi, India

Research Areas

Topology, Fuzzy Topology

Education

1995Ph.DZakir Husain College, Delhi University
1989M.A.Zakir Husain College, Delhi University
1987B.A.Zakir Husain College, Delhi University

Experience

2011-presentDelhi Univ.South Campus, Guest lecturer
2003-2004Eritrea institute of Technology, Africa, Associate Professor
2006-2007Non-collegiateWomen's board(Delhi Univ.), Guest lecturer
1995-presentRajdhani College, Lecturer, Sr. Lecturer, Reader, Associate Professor

Membership

Life member of Indian Society for Information Theory and Application
Life member of Forum for Interdisciplinary Mathematics
Life member of The Society of mathematical Sciences, Delhi

Publications: Journals

[1]  R. D. Sarma, On extremally disconnected generalized topologies, Acta Math. Hungarica, To appear (Available online since Aug. 2011).
[2]  R. D. Sarma, Relational Topologies, Int. J. of Math. Sc, 9(3-4)(2010) 333-342.
[3]  R. D. Sarma, Frontiers of topology (Review Article), J of Inf. And Math. Sc.2 (2-3)(2010)109-119.
[4]  R. D. Sarma, A. Sharfuddin , Anubha Bhargava, Separation axioms for generalized fuzzy topologies, J. of Combinatorics, Inf.and Sys. Sc.35 (3-4)(2010)329-340.
[5]  R. D. Sarma, A. Sharfuddin , Anubha Bhargava, Generalized open fuzzy sets in generalized fuzzy topology, Int. J. of Math. Sc, 9(3-4)(2010) 343-355.
[6]  R. D. Sarma, On convergence in generalized topology, Int. J. of Pure and Appl. Maths, 60(2)(2010)205-210.
[7]  R. D. Sarma, A note on extremal disconnectedness in bitopological spaces, Acta Math. Hungarica120 (1-2)(2008)141-146.
[8]  R. D. Sarma.Characterizations of various non-continuous functions using nets, Int. J. of Math. Sc.6 (2)(2007)239-244.
[9]  R. D. Sarma, The theory of localization for intuitionistic fuzzy topological spaces, The J. of Fuzzy Math.15 (3)(2007)711-724.
[10]  R. D. Sarma, On connectedness in intuitionistic fuzzy topological spaces, The J. of Fuzzy Math.15 (3)(2007)725-732.
[11]  R. D. Sarma and Ravi Srivastava, Generated fuzzy biideals in semi-groups, Schooshow J. of Math.33(2)(2007)263-271.
[12]  R. D. Sarma, D. Hazarika, A. Sharfuddin, Some aspects of Ci-connectedness in L-topological spaces, The J. of Fuzzy Math.13(4)(2005)827-843, MR # 2191338.
[13]  R. D. Sarma and D. Hazarika, Connectedness and local Connectedness in intuitionistic fuzzy topological spaces, Math. Analysis and Application, Edited by S. Nanda, G. P. Rajasekhar, Narosa Publications, 2004.
[14]  R. D. Sarma, D. Hazarika and A. Sharfuddin, Extremal disconnectedness in L-topological spaces, The J. of Fuzzy Math.11(3)(2003)737-749.
[15]  R. D. Sarma, N. Ajmal and C. Kaur, Fuzzy nets and their applications, The J. of Fuzzy Math.11(1)(2003)53-65, MR # 1963836.
[16]  R. D. Sarma and D. Hazarika, A Uryshon's type result for Extremally disconnected spaces, Bulletin of Gauhati Univ. Math Assoc.7 (2007)21-26.
[17]  R. D. Sarma, A. Sharfuddin and C. Kaur, Application of fuzzy nets and fuzzy filters, The Math. Student 69(1-4)(2001) , MR # 2012749.
[18]  R. D. Sarma, A. Sharfuddin and C. Kaur, Convergence and fuzzy almost compactness, Proc. of National Conf. on Cryptology, DRDO, Delhi, 1998 .
[19]  R. D. Sarma and P. K. Jha, Fuzzy net-theoretic approach and Lowen's category, The J. of Fuzzy Math.5(1997)159-163, MR # 97m:18009.
[20]  R. D. Sarma and N. Ajmal, A new approach to fuzzy topological spaces and fuzzy perfect mappings, Fuzzy Sets and Systems81(1996)257-263, MR # 97C:
[21]  R. D. Sarma and N. Ajmal, Fuzzy subcontinuity, inverse fuzzy subcontinuity and a new category of fuzzy topological spaces, Fuzzy Sets and Systems73(1995)13-24, MR # 96e:54002.
[22]  R. D. Sarma and N. Ajmal, A new approach to fuzzy topological spaces and various fuzzy topological notions defined by nets, Fuzzy Sets and Systems73 (1995)389-394, MR # 96d: 54008.
[23]  R. D. Sarma, Extremal disconnectedness in fuzzy topological spaces, Mat. Vesnik46 (1994(17-23), MR # 95j:54009.
[24]  R. D. Sarma and N. Ajmal, Category N and functions with closed fuzzy graph, Fuzzy Sets and Systems83(1994)219-226, MR # 95a:54015.
[25]  R. D. Sarma and N. Ajmal, A category of fuzzy topological spaces and various notions of compactness, The J. of Fuzzy Math.1(1993)849-864, MR # 93g:54008.
[26]  R. D. Sarma and N. Ajmal, Fuzzy nets and their applications, Fuzzy Sets and Systems51 (1992)41-51, MR # 93g: 54008.
[27]  R. D. Sarma and N. Ajmal, Various fuzzy topological notions and fuzzy almost continuity, Fuzzy Sets and Systems50(1992)209-223, MR # 93g:54008.

Publications: Books/Book Chapters

[1]  R. D. Sarma and Umesh Kumar, Basic Applied Mathematics for Physical Sciences, Pearson Education, 2007 (2nd revised edition, 2011).