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SPS is organizing a seminar by Surjeet Kour

SPS is organizing a seminar by Surjeet Kour

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SPS is organizing a seminar by Surjeet Kour
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Maths Seminar of the School of Physical Sciences
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Simple Derivations on Tensor Product of Polynomial Algebras

Surjeet Kour 
(Indian Institute of Technology, Gandhinagar)

Date: May 5, 2017 (Friday)
Time: 16:00 hrs (4:00 pm) 
Venue: Seminar Room, First Floor, SPS, JNU

Abstract : Let A be a unique factorization domain containing a field k of characteristic zero and let A[X] and A[Y ] be two k-algebras. If d_1 and d_2 are k-derivations of A[X] and A[Y], respectively, then we have the unique k-derivation d_1 x 1 + 1 x d_2 of the tensor algebra A[X,Y] and it is usually denoted by d_1 \oplus d_2. If d_1 and d_2 are generalized triangular k-derivations of A[X] and A[Y], then the unique k-derivation d_1 \oplus d_2 of A[X,Y] is also a generalized triangular k-derivation. One can easily observe that if no ideal of A[X,Y] is (d_1 \oplus d_2)-invariant then neither d_1 nor d_2 has invariant ideals. In this talk we will discuss the converse of above statement for a large enough class of derivations.

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Initially, established as a Centre for Chinese and Japanese Studies, it subsequently grew to include Korean Studies as well. At present there are eight faculty members in the Centre. Several distinguished faculty who have now retired include the late Prof. Gargi Dutt, Prof. P.A.N. Murthy, Prof. G.P. Deshpande, Dr. Nranarayan Das, Prof. R.R. Krishnan and Prof. K.V. Kesavan. Besides, Dr. Madhu Bhalla served at the Centre in Chinese Studies Programme during 1994-2006. In addition, Ms. Kamlesh Jain and Dr. M. M. Kunju served the Centre as the Documentation Officers in Chinese and Japanese Studies respectively.

The academic curriculum covers both modern and contemporary facets of East Asia as each scholar specializes in an area of his/her interest in the region. The integrated course involves two semesters of classes at the M. Phil programme and a dissertation for the M. Phil and a thesis for Ph. D programme respectively. The central objective is to impart an interdisciplinary knowledge and understanding of history, foreign policy, government and politics, society and culture and political economy of the respective areas. Students can explore new and emerging themes such as East Asian regionalism, the evolving East Asian Community, the rise of China, resurgence of Japan and the prospects for reunification of the Korean peninsula. Additionally, the Centre lays great emphasis on the building of language skills. The background of scholars includes mostly from the social science disciplines; History, Political Science, Economics, Sociology, International Relations and language.

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