We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
OPERATORS ON REGULAR RINGS OF LEAVITT PATH ALGEBRAS.
- Authors
ÖZDIN, Tufan
- Abstract
In [8, Theorem 1], Jain and Prasad obtained a kind of symmetry of regular rings which is interesting and useful in the theory of shorted operators (cf. [9]). We show that this symmetry property indeed holds for endo-morphism rings of Leavitt path algebras. Using this property, we analyze a (strong/weak) regular inverse of an element of the regular the endomorphism ring A of the Leavitt path algebra L := LK(E) (viewed as a right L-module). We also introduce some partial orders on the endomorphism ring A of the Leavitt path algebra L and investigate the behavior of regular elements in A.
- Subjects
VON Neumann, John, 1903-1957; VON Neumann algebras; ENDOMORPHISMS; ALGEBRA; OPERATOR theory; ENDOMORPHISM rings
- Publication
Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science, 2023, Vol 65, Issue 1, p171
- ISSN
2810-2029
- Publication type
Article
- DOI
10.31926/but.mif.2023.3.65.1.13