Abstract
In this paper, we determine a core subset of dense ideals and left dense ideals of some incidence algebras. As an application and the motivation of this work, we compute the maximal left quotient ring of some incidence algebras. In a ring T, if a minimal left dense ideal, D exists, then the maximal left quotient ring of T is isomorphic to the ring of T-module homomorphisms of D into D (Lambek, J. (1963). On Utumi's ring of quotients. Can. J. Math. 15:363–370). Hence, in the case of an incidence algebra, we give necessary and sufficient conditions for a minimal left dense ideal to exist and give a description of this ideal when it exists.
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.
