The clean graph of a commutative ring
Abstract
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to additional results concerning other classes of rings.
Keywords:
Clean rings / clean graphs / genus of a graphSource:
Ars Combinatoria, 2017, 134, 363-378Publisher:
- Charles Babbage Research Centre
Funding / projects:
- Analysis and algebra with applications (RS-174032)
Collections
Institution/Community
GraFarTY - JOUR AU - Petrović, Zoran Z. AU - Pucanović, Zoran PY - 2017 UR - https://grafar.grf.bg.ac.rs/handle/123456789/815 AB - To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to additional results concerning other classes of rings. PB - Charles Babbage Research Centre T2 - Ars Combinatoria T1 - The clean graph of a commutative ring EP - 378 SP - 363 VL - 134 UR - https://hdl.handle.net/21.15107/rcub_grafar_815 ER -
@article{ author = "Petrović, Zoran Z. and Pucanović, Zoran", year = "2017", abstract = "To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to additional results concerning other classes of rings.", publisher = "Charles Babbage Research Centre", journal = "Ars Combinatoria", title = "The clean graph of a commutative ring", pages = "378-363", volume = "134", url = "https://hdl.handle.net/21.15107/rcub_grafar_815" }
Petrović, Z. Z.,& Pucanović, Z.. (2017). The clean graph of a commutative ring. in Ars Combinatoria Charles Babbage Research Centre., 134, 363-378. https://hdl.handle.net/21.15107/rcub_grafar_815
Petrović ZZ, Pucanović Z. The clean graph of a commutative ring. in Ars Combinatoria. 2017;134:363-378. https://hdl.handle.net/21.15107/rcub_grafar_815 .
Petrović, Zoran Z., Pucanović, Zoran, "The clean graph of a commutative ring" in Ars Combinatoria, 134 (2017):363-378, https://hdl.handle.net/21.15107/rcub_grafar_815 .