id: 05578283 dt: j an: 05578283 au: Shi, Hongbo ti: Finitistic dimensions of trivially twisted extensions of monomial algebras. so: Int. J. Algebra Comput. 19, No. 4, 555-566 (2009). py: 2009 pu: World Scientific, Singapore la: EN cc: ut: bottomup; dimension trees; dual extensions; topdown; finite-dimensional algebras; monomial algebras; path algebras; global dimension; finitistic dimension; algorithms ci: li: doi:10.1142/S0218196709005202 ab: Summary: We use the algorithms ‘Bottomup’ and ‘Topdown’ to study the finitistic dimensions of a class of extension algebras: the trivially twisted extensions of monomial algebras. A hybrid algorithm for determination of the finitistic dimension of the aforementioned extension is presented, and in particular, conditions for construction of such extensions that have relatively larger finitistic dimension are investigated. rv: