TEW Rings & Modules (2014)
|Venue:||D.A.V. College, Jalandhar, Punjab|
|Dates:||15th to 21st April, 2014|
|Convener(s)||Speakers, Syllabus and Time table||Applicants/Participants|
|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|
|Name of the Speaker
||Affiliation||No. of Lectures||Detailed Syllabus|
Of 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,
|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.|
- No T.A / DA will be given to the participant for attending the workshop.
- All the selected applicant has to pay a registration fee of Rs.500/- on 15-04-2014
- Attendance to all the Lecture(s) / Tutorial (s) are compulsory.
- Time of the workshop is from 9:30 AM to 4:00 PM
- 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.D
|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|
|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
- From the Jalandhar Railway Station:
The venue is just 4km away from Jalandhar City Railway station, Local Buses and Auto-Rickshaw are available.
- From the Jalandhar Bus Stand:
The venue is just 7 km away from Jalandhar Bus Stand. Local Buses and Auto-Rickshaw are available.
- Nearest Airport is Amritsar Airport:
The venue is just 90 km away from Amritsar Airport . Buses and Taxi are available.