منابع مشابه
On Completing Unimodular Polynomial Vectors of Length Three
It is shown that if R is a local ring of dimension three, with ¿ € R , then a polynomial three vector (vQ(X), vx(X), v2(X)) over R[X] can be completed to an invertible matrix if and only if it is unimodular. In particular, if 1/3! € J! , then every stably free projective R[XX, ... , .Y„]-module is free.
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Article history: Received 23 January 2016 Available online xxxx
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Many famous researchers in computer science, mathematics and other areas have studied enumerative problems in lattice path and walks which could be applied to many fields. We will discuss some new enumerative problems including some pattern avoidance problems in lattice paths and walks with several step vectors. Results on stretches and turns are presented and several open problems are posted. ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1991
ISSN: 0021-8693
DOI: 10.1016/0021-8693(91)90216-u