- Volume 35 Issue 4
This paper deals with the unit groups of the endomorphism rings of projective modules over polynomial rings and further over formal power series rings. A normal subgroup of the unit group is defined and discussed. The local splitting properties of element of endomorphism rings of projective modules over polynomial rings are given.
projective module;endomorphism ring;polynomial ring
- S. M. Bhatwadekar and Raja Sridharan, The Euler Class Group of a Noetherian Ring, Composito Mathematica, 122 (2000), 183-222. https://doi.org/10.1023/A:1001872132498
- R. Basu and R. Sridharan, On Forster's Conjecture and Related Results, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India, 2002.
- F. Ischebeck and Ravi Rao, Ideals and Reality, Projective Modules and Number of Generators of Ideals, Springer, 2005.
- S. Mandal, Projective Modules and Complete Intersections, Springer, 1997.
- D. Quillen, Projective Modules over Polynomial Rings, Inv. Math. 36 (1976), 167-171. https://doi.org/10.1007/BF01390008
- S. Raghavan Balwant Singh and R. Sridharan, Homological Methods in Commutative Algebra, Tata Institute of Fundamental Research, Bombay, 1975.