@article {10.3844/jmssp.2009.171.177, article_type = {journal}, title = {The Algebraic K-Theory of Finitely Generated Projective Supermodules P(R) Over a Supercommutative Super-Ring R }, author = {Jaber, Ameer}, volume = {5}, year = {2009}, month = {Sep}, pages = {171-177}, doi = {10.3844/jmssp.2009.171.177}, url = {https://thescipub.com/abstract/jmssp.2009.171.177}, abstract = {Problem statement: Algebraic K-theory of projective modules over commutative rings were introduced by Bass and central simple superalgebras, supercommutative super-rings were introduced by many researchers such as Knus, Racine and Zelmanov. In this research, we classified the projective supermodules over (torsion free) supercommutative super-rings and through out this study we forced our selves to generalize the algebraic K-theory of projective supermodules over (torsion free) supercommutative super-rings. Approach: We generalized the algebraic K-theory of projective modules to the super-case over (torsion free) supercommutative super-rings. Results: we extended two results proved by Saltman to the supercase. Conclusion: The extending two results, which were proved by Saltman, to the supercase and the algebraic K-theory of projective supermodules over (torsion free) supercommutative super-rings would help any researcher to classify further properties about projective supermodules.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }