Finitely presented modules over semihereditary rings
Francois Couchot
Abstract
One proves that each almost local-global semihereditary ring has the stacked basis property and is almost Bezout. If M is a finitely presented module, its torsion part tM is a direct sum of cyclic modules where the family of annhilators is an ascending chain of invertible ideals. These ideals are invariants of M. Moreover, M/tM is a direct sum of 2-generated ideals whose product is an invariant of M. The idempotents and the positive integers defined by the rank of M/tM are invariants of M too.
Create a lesson
Related papers
Directed partial orders on the complex number field
Wenyi Wang, Ruisong Yuan, Yuehui Zhang et al.
Polynomial identities, central polynomials and cocharacters of M2(F) with G-graded involution
Rafael Bezerra dos Santos, Lucas Reis
Polynomial identities, central polynomials and cocharacters of M2(F) with transpose superinvolution
Rafael Bezerra dos Santos, Lucas Reis
Range-compatible homomorphisms on Hermitian matrices
Clément de Seguins Pazzis
Transposed Triple Products and Pro-Symmetric Rings in -Rings
Huaxi Chen, Long Wang, Honglin Zou
On -Reversible and Generalized -Reversible Rings
Huaxi Chen, Long Wang, Honglin Zou