Integral semihereditary orders inside a Bezout maximal order

[摘要] In this paper we show that over a commutative valuation ring V, a semihereditary V-order H in a finite-dimensional simple Artinian ring is a (finite) intersection of Bezout (maximal) V-orders iff either H is Bezout or H is contained in a Bezout V-order and J(V) is a principal ideal of V. (C) 1997 Academic Press.

[发布日期] 1997-03-15