Abstract
If D is C+ or D, then we prove that H∞(D) is a Hermite regular coherent ring of weak global dimension 2 (the coherence was already proved in [4]). We show:there is a one-to-one equivalence between systems defined by matrices with entries in H∞(D) and coherent H∞(D)-modules,coherent H∞(D)-modules are stable by elementary algebraic operations, and thus, we can characterize the algebraic properties of coherent H∞(D)-modules using algebraic analysis,we generalize certain results known on H∞(C+) to Hermite coherent domains with weak global dimension less or equal to 2.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
