# TEW Rings & Modules (2014)

 Venue: D.A.V. College, Jalandhar, Punjab Dates: 15th to 21st April, 2014

 School Convener(s) Name Prof. Ajay Kumar Aggarwal Dr. P.K. Sharma Mailing Address Head, Department of Mathematics, D.A.V. College, Jalandhar, Punjab Associate Professor, Department of Mathematics, D.A.V. College, Jalandhar, Punjab

 Speakers and Syllabus

 Name of the Speaker Affiliation No. of Lectures Detailed Syllabus Prof.I.B.S.Passi Honorary ProfessorIISER Mohali 1LectureOf  1 hr. Introduction to the theory of Rings and Modules Dr. Dinesh Khurana Associate Prof.  PU, CHD. 4 lectures each of 1hr and 30 minutes. Basics of Ring Theory. The emphasis will be on understanding and constructing as many examples as possible..The fundamental notions of subrings, ideals, quotient rings, homomorphisms etc. will be discussed in detail. We will also discuss the questions about the embedding of rings in other rings. One of the most important results in number theory is the fundamental theorem of number theory. One may wonder if the result holds in arbitrary integral domains also. It was realized a long back that the Fermat's Theorem would follow quite easily if the fundamental theorem of number theory were true in rings of integers of number fields. But unfortunately this is not the case. So people started looking for domains which satisfy the fundamental theorem of number theory. Such rings are called unique factorization domains (UFDs). We will discuss UFDs and their relationships with other important classes of domains like principal ideal domains, Euclidean domains etc. Dr. Anjana Khurana Dr. Harpreet Kaur Asst. Prof, GNDU Amritsar 4 lectures each of 1hr and 30 minutes. The ring of polynomials over a commutative ring R is an important ring extension of the ground ring R and plays an important role in the theory of rings. Besides its construction, some basic properties of R that get carried over to the polynomial ring will be discussed. Group of units of the polynomial ring over a commutative ring will be calculated. Polynomial rings that are unique factorization domains and that are principal ideal domains will be studied. Ideal structure of the polynomial ring over a field will also be discussed. We will also discuss the maximal ideals of the polynomial ring over the ring of integers. Dr. R P. Sharma Professor, University of Shimla 4 lectures each of 1hr and 30 minutes Modules, definition and examples, Submodules, Direct Sums, Quotient modules, Free modules, Comparison with vector spaces, Homomorphisms, Simple and Semisimple Modules.Decomposition Theorem, Structure of finitely generated modules over a PID. Application of finitely generated abelian groups, Jordan and Rational Canonical forms with emphasis on computation Dr. Gurmeet Kaur Bakshi Professor,P.U., Chd. Miss Shelly Research Scholar, P.U., Chandigarh 4 Tutorials each of 2 hr To discuss the solutions of Problems in Rings and Modules during the course work.

 Selected Applicants/Participants

Note

1. No T.A / DA will be given to the participant for attending the workshop.
2. All the selected applicant has to pay a registration fee of Rs.500/- on 15-04-2014
3. Attendance to all the Lecture(s) / Tutorial (s) are compulsory.
4. Time of the workshop is from 9:30 AM to 4:00 PM
5. Note for the waiting list candidate: Contact the convenor  DR. P.K. SHARMA (Mobile no. 09872006365)
 Sr. SID Full Name Gender Affiliation State Position in College/ University University/ Institute of M.Sc./M.A. Year of Passing M.Sc./M.A Ph.DDegreeDate 1 5963 Mrs Gagan Deep Female Hans Raj Mahila Mahavidyalaya Jalandhar, Punjab Asst. Prof. Panjab University , Chandigarh 2005 2 5959 Mrs Shubha Chauhan Female Postgraduate Department Of Mathematics, Lyallpur Khalsa College Jalandhar, Punjab Asst. Prof. Panjab University , Chandigarh 1998 3 5920 Mr. Amrish Khullar Male National College For Women Machhiwara, Punjab Asst. Prof. Lyallpur Khalsa College, Jalandhar 2008 4 5915 Mrs Aradhna Duggal Female S.G.G.S. Khalsa College Mahilpur, Punjab Asst. Prof. Govt. College, Hoshiarpur 1998 5 5819 Mr. Harjit Singh Male Lyallpur Khalsa College Jalandhar, Punjab Asst. Prof. Panjab University 1993 6 5878 Dr. (Prof) Devinder Singh Pathania Male Guru Nanak Dev Engg. College Ludhiana Ludhiana, Punjab Professor GNDU Amritsar 1988 4 Sep 2006 7 5817 Asst Prof Kanchan Sandhu Female APEEJAY Institute of Management technical campus Jalandhar, Punjab Asst. Prof. GNDU/ M.Sc Mathematics 2007 8 5816 Mr. Piyush Goyal Male SCD Govt. College for Boys Ludhiana, Punjab Lecturer Panjab University , Chandigarh 2011 9 5896 Ms Vandana Bansal Female Ramgarhia College Phagwara, Punjab Asst. Prof. G. N. D. University 1994 10 5939 Mrs Pawanpreet Kaur Female Lyallpur Khalsa College of Engineering Jalandhar, Punjab Asst. Prof. Lyallpur Khalsa College for boys, Jalandhar 2007 11 6046 Mrs. Meera Aggarwal Female Apeejay College of Fine Arts Jalandhar, Punjab Head of the Department Punjab University 1987 12 5998 Prof. Shallu Gupta Female SD College Ambala Cantt., Haryana Asst. Prof. GNDU 2004 13 6079 Ms Malti Tiwari Female Guru Nanak National College Doraha Ludhiana, Punjab Asst. Prof. S..C. D. Govt. College Ludhiana. M.Sc. 2006 14 6043 Ms. Anita Rani Devgan Female Guru Nanak National College Ludhiana, Punjab Asst. Prof. Guru Nanak Girls College, Ludhiana 2008 15 5933 Ms. Manjinder Kaur Female Guru Nanak Dev University, Regional Campus Jalandhar, Punjab Asst. Prof. D.A.V.College, Jalandhar 2008 16 6162 Ms. Pooja Sonik Female PCM S.D.College for Women Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2006 17 5856 Ms. Gagan Deep Kaur Female C.T. Institute of Technology Jalandhar, Punjab Asst. Prof. Guru Nanak Dev University, Amritsar 2010 18 5882 Mr Amit Sehgal Male Govt College Birohar (Jhajjar) Jhajjar, Haryana Asst. Prof. IIT Kharapur 2005 19 5986 Mr. Amit Sharma Male Pratap Institue Of Technology And Science Sikar, Rajasthan Asst. Prof. Maharshi Dayanand University, Rohtak 2006 20 5994 Dr. Ram Singh Male Baba Ghulam Shah Badshah University Jammu, Jammu And Kashmir Asst. Prof. University of Jammu, Jammu (M.Sc in Mathematics) 2005 9 Sep 2011 21 6144 Mr. Arun Kochar Male Bebe Nanaki University College Kapurthala, Punjab Asst. Prof. GNDU 2012 22 6100 Dr. Rajni Sharma Female DAV Institute of Engineering and Technology Jalandhar, Punjab Asst. Prof. G.N.D.U,  Amritsar 1998 17 Nov 2012 23 5902 Ms. Guneet Kaur Female Kanya Maha Vidyalaya Jalandhar, Punjab Asst. Prof. G.N.D.U,  Amritsar 2009 24 6135 Prof. Gulshan Kumar Sharma Male Doaba College Jalandhar , Punjab Asst.Prof Lyallpur Khalsa College  Jalandhar city 2002 25 6173 Mrs. Ranjita Kapur Female APEEJAY college of fine arts Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2009 26 6161 Ms. Gurpreet Kaur Female Khalsa College Hoshairpur, Punjab Asst. Prof. Government College, Hoshiarpur 2006 27 6180 Ms Money Verma Female APJC Fine Arts, Jalandhar Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2007 28 6164 Mrs. Sangeeta Anand Female Guru Nanak Dev University, Regional Campus Jalandhar, Punjab Lecturer G.N.D.U, Asr/ D.A.V College / M.Sc (maths) 2010 29 5860 Ms. Anu Goyal Female Amar Shaheed Baba Ajit Singh Jujhar Singh Memorial College Bela, Punjab Lecturer Panjab University , Chandigarh 2011 30 5941 Mr. Shiv Kumar Male D.A.V College Jalandhar City, Punjab Asso.Prof. D.A.V College, Jalandhar 1985 31 6200 Mrs. Ashu Bahl Female D.A.V College Jalandhar, Punjab Asst. Prof. GNDU Amritsar 2001 32 6149 Asst Prof Sahil Nagpal Male D.A.V College Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2012 33 6146 Asst Prof Vandita Sharma Female D.A.V College Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2013 34 6148 Asst Prof Meenakshi Sharma Female D.A.V College Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2013 35 6172 Ms Yashpreet Kaur Female Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Punjab Asst. Prof. D.A.V College, Jalandhar 2013 Waiting List 1 6138 Dr. Selvaraj R S Male NIIT Warangal Warangal, Andra Pardesh Asst.Prof Loyola College,Chennai 1996 28-6-2006 2 6112 Mr. Rahul Arora Male Shivaji college Delhi Delhi Asst.Prof S.C.D. Govt. College 2008 3 6176 Mr. Harjot Singh Atwal Male S.N. College, Banga Banga ,Punjab Asst. Prof. G.N.D.U Amritsar 2001

How To Reach

1. From the Jalandhar Railway Station:
The venue is just 4km away from Jalandhar City Railway station, Local Buses and Auto-Rickshaw are available.
2. From the Jalandhar Bus Stand:
The venue is just 7 km away from Jalandhar Bus Stand.  Local Buses and Auto-Rickshaw are available.
3. Nearest Airport is Amritsar Airport:
The venue is just 90 km away from Amritsar Airport . Buses and Taxi are available.