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On Bezout’s Theorem

MORE, ANUJ KUMAR (2012-05)

The aim of the project is to understand Bezout’s Theorem for curves from algebraic and geometric point of view. The Theorem states that in complex projective plane, the number of points in which any two curves (with no ...
Classical K-Theory: Completion of Unimodular Rows

MANDLIK, NISHAD (2015-05)

In this thesis, we explore the problem of the completion of unimodular rows which has its historical importance in the solution of Serre's problem. We also study Classical Algebraic K-theory in the context of projective ...
K-Theory of Monoid Algebras

SINGH, MANISH KUMAR (2018-05)

As a generalisation of Serre’s problem on projective modules over polynomials ring. in 1980 D. Anderson asked the analogue problem for monoid algebras. In 1988 Joseph Gubeladze proved Anderson’s conjecture by geometric ...
Relation Between Algebra and Topology

PATIL, JATIN (2021-12)

In this thesis, we look at a few algebraic results about unimodular rows, some concerning with the bounds on the number of generators of projective modules. Then, we look at these results from the topological perspective, ...
On K-theory of Leavitt path algebras

C R, GOUTHAM DEV (2021-12)

In 1960's, W. G. Leavitt introduced a type of non-commutative algebras that are now called Leavitt Algebras. In 2005, Gene Abrams and Gonzalo Aranda Pino introduced Leavitt path algebras as a generalization of Leavitt ...

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