Characterizing Rickart and Baer ultragraph Leavitt path algebras

被引：0
|
作者：
Jubeir, Mitchell [1 ,4 ]
van Wyk, Daniel W. [2 ,3 ,5 ]
机构：
[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
[2] Amherst Coll, Dept Math, Amherst, MA 01002 USA
[3] Univ Free State, Dept Math & Appl Math, Pk West, ZA-9301 Bloemfontein, South Africa
[4] Univ Calif, Dept Math, St Barbara, 552 Univ Rd, Isla Vista, CA 93117 USA
[5] Fairfield Univ, Dept Math, Fairfield, CT 06825 USA
来源：
JOURNAL OF ALGEBRA | 2024年 / 643卷
关键词：
Ultragraphs; Leavitt path algebras; Rickart rings; Baer rings; EXEL-LACA ALGEBRAS; GROUPOIDS;
D O I：
10.1016/j.jalgebra.2023.12.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize ultragraph Leavitt path algebras that are Rickart, locally Rickart, graded Rickart, and graded Rickart *-rings. We also characterize ultragraph Leavitt path algebras that are Baer, locally Baer, graded Baer, Baer *-rings, and combinations of these. These characterizations build on and generalize the work of Hazrat and Vas on Leavitt path algebras over fields to ultragraph Leavitt path algebras over semi-simple commutative unital rings. (c) 2024 Elsevier Inc. All rights reserved.
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页码：153 / 174
页数：22
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