Journal of the Indonesian Mathematical Society
Vol. 31 No. 3 (2025): SEPTEMBER

On Basic Ideal Generated by Vertices in Cycles without Exits in Leavitt Path Algebras

Wardati, Khurul (Unknown)
Futhona, Aulia Khifah (Unknown)



Article Info

Publish Date
14 Aug 2025

Abstract

Vertices located on cycles without exits have a role in constructing ideals in the Leavitt path algebras over a commutative unital ring. One key reason is that the set of such vertices is hereditary. In addition, an ideal of the commutative unital ring can be combined with these vertices to form an ideal in the Leavitt path algebra. This article focuses on creating a (basic) ideal in the Leavitt path algebras, which is generated by vertices on cycles without exits.

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Journal Info

Abbrev

JIMS

Publisher

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...