Open AccessOn Projective Modules and Computation of Dimension of a Module over Laurent Polynomial Ring
Author(s) -
Ratnesh Kumar Mishra,
Shiv Datt Kumar,
Srinivas Behara
Publication year - 2011
Publication title -
isrn algebra
Language(s) - English
Resource type - Journals
eISSN - 2090-6293
pISSN - 2090-6285
DOI - 10.5402/2011/926165
Subject(s) - laurent polynomial , mathematics , dimension (graph theory) , ring (chemistry) , polynomial ring , polynomial , projective module , pure mathematics , computation , algebra over a field , discrete mathematics , projective test , algorithm , mathematical analysis , chemistry , organic chemistry
We give a procedure and describe an algorithm to compute the dimension of a module over Laurent polynomial ring. We prove the cancellation theorems for projective modules and also prove the qualitative version of Laurent polynomial analogue of Horrocks' Theorem.
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