MANOJ KUMAR  KESHARI Mathematics Department, IIT

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Publications

• Projective generation of ideals in polynomial extensions , J Comm Alg (with Md. Ali Zinna)
  
 
• Existence of unimodular elements in a projective module, JPAA 221 (2017) 2805-2814. (with Md. Ali Zinna)
 
• Efficient generation of ideals in a discrete Hodge algebra, JPAA 221 (2017) 960-970. (with Md. Ali Zinna)
  
 
• Unimodular elements in projective modules and an analogue of a result of Mandal, J Comm Alg, 10 (2018), no.3, 359-373. (with Md. Ali Zinna)
  
 
• Serre dimension of Monoid Algebras, Proc. Indian Acad. Sci. (Math. Sci.) Vol. 127, no. 2 (2017), 269-280. (with Husney Parvez)
  
 
• Serre dimension and Euler class groups of overrings of polynomial rings , J Comm Alg, vol 9, no. 2, September (2017), 213-242. (with Husney Parvez)
  
 
• Projective modules over overrings of polynomial rings and a question of Quillen, JPAA vol 218 (2014), 1003-1011. (with Sapnil Lokhande)
  
 
• A note on rigidity and triangulability of a derivation , J Comm Alg, vol 6 no. 1 (2014), 95-100. (with Swapnil Lokhande)
  
 
• Another definition of Euler class group of a Noetherian group, Rocky Mountain J. Math. vol. 43(1) (2013), 225-240. (with Satya Mandal)
  
 
• $K_0$ $x_1^2+ \ldots +x_n^2 = \pm 1$, Indian J. Pure and Appl. Math. vol. 44(2) (2013), 119-129. (with Satya Mandal)
  
 
• A question of Nori, Segre classes of ideals and other applications, J.P.A.A. vol. 216(10) (2012), 2193-2203. (with Mrinal K. Das)
  
 
• A note on cancellation of projective modules, J.P.A.A. vol. 216(1) (2012), 126-129. (with Alpesh M. Dhorajia)
  
 
• Projective modules over overrings of polynomial rings, J. Algebra vol. 323(2) (2010), 551-559. (with Alpesh M. Dhorajia)
  
Theorem 3.13 is not correct. This result is not used for any other result.
 
• Corrigendum to "Projective modules over overrings of polynomial rings'' [J. Algebra 323 (2) (2010) 551–559], J. Algebra vol. 366(1) (2012), 217p;
  
 
• Cancellation problem for projective modules over affine algebras, J. K-Theory vol. 3(3) (2009), 561-581.
  
 
• Euler class group of a Laurent polynomial ring : local case, J. Algebra. vol. 308 (2) (2007), 666-685.
  
 
• Stability results for projective modules over blowup rings, J. Algebra vol. 294(1) (2005), 226-238.
  
 
• A note on projective modules over real affine algebras, J. Algebra vol. 278(2) (2004), 628-637.
  
 
• A question of Nori: Projective generation of ideals, K-Theory vol. 28(4) (2003), 329-351. (with S.M. Bhatwadekar)

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• Some articles
• Cancellation of projective modules over non-Noetherian rings.
  
 
• Some results on Euler class groups.
  
 
• Projective modules over discrete Hodge algebras.
   

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• Thesis
• Complete intersection ideals and a question of Nori. Ph.D. Thesis-2004 (47 page).
  
 
• Euler Class group of a Noetherian ring. M-Phil Thesis-2001 (52 page).

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