On $ mj $-clean ring and strongly $ mj $-clean ring

ULUCAK, Gülşen; Kör, Arda

doi:10.55730/1300-0098.3249

On $ mj $-clean ring and strongly $ mj $-clean ring

Gülşen ULUCAK, (Gebze Teknik Üniversitesi, Fen Fakültesi, Matematik Bölümü, Kocaeli, Türkiye)

Arda KÖR (Gebze Teknik Üniversitesi, Fen Fakültesi, Matematik Bölümü, Kocaeli, Türkiye)

Turkish Journal of Mathematics

6 0

Yıl: 2022 Cilt: 46 Sayı: SI-2 Sayfa Aralığı: 2015 - 2022 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3249 İndeks Tarihi: 13-12-2022

On $ mj $-clean ring and strongly $ mj $-clean ring

Öz:

In this paper, we introduce the concepts of mj -clean and strongly mj -clean rings which are generalizations of $ j $-clean ring and strongly j-clean ring, respectively. Let R be a ring with a nonzero identity and m ≥ 2 a positive integer. We call the ring R as mj -clean if each element of R can be written as a sum of an m -potent and an element of J(R) and also if these elements are commute, then we call R as strongly mj -clean ring. We examine the algebraic properties of these new concepts and show the effects of these structures on matrix rings, polynomial rings, power series and the transitions between them.

Anahtar Kelime: j -clean ring strongly j -clean ring mj -clean ring strongly mj -clean ring

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ULUCAK G, Kör A (2022). On $ mj $-clean ring and strongly $ mj $-clean ring. , 2015 - 2022. 10.55730/1300-0098.3249
Chicago	ULUCAK Gülşen,Kör Arda On $ mj $-clean ring and strongly $ mj $-clean ring. (2022): 2015 - 2022. 10.55730/1300-0098.3249
MLA	ULUCAK Gülşen,Kör Arda On $ mj $-clean ring and strongly $ mj $-clean ring. , 2022, ss.2015 - 2022. 10.55730/1300-0098.3249
AMA	ULUCAK G,Kör A On $ mj $-clean ring and strongly $ mj $-clean ring. . 2022; 2015 - 2022. 10.55730/1300-0098.3249
Vancouver	ULUCAK G,Kör A On $ mj $-clean ring and strongly $ mj $-clean ring. . 2022; 2015 - 2022. 10.55730/1300-0098.3249
IEEE	ULUCAK G,Kör A "On $ mj $-clean ring and strongly $ mj $-clean ring." , ss.2015 - 2022, 2022. 10.55730/1300-0098.3249
ISNAD	ULUCAK, Gülşen - Kör, Arda. "On $ mj $-clean ring and strongly $ mj $-clean ring". (2022), 2015-2022. https://doi.org/10.55730/1300-0098.3249

APA	ULUCAK G, Kör A (2022). On $ mj $-clean ring and strongly $ mj $-clean ring. Turkish Journal of Mathematics, 46(SI-2), 2015 - 2022. 10.55730/1300-0098.3249
Chicago	ULUCAK Gülşen,Kör Arda On $ mj $-clean ring and strongly $ mj $-clean ring. Turkish Journal of Mathematics 46, no.SI-2 (2022): 2015 - 2022. 10.55730/1300-0098.3249
MLA	ULUCAK Gülşen,Kör Arda On $ mj $-clean ring and strongly $ mj $-clean ring. Turkish Journal of Mathematics, vol.46, no.SI-2, 2022, ss.2015 - 2022. 10.55730/1300-0098.3249
AMA	ULUCAK G,Kör A On $ mj $-clean ring and strongly $ mj $-clean ring. Turkish Journal of Mathematics. 2022; 46(SI-2): 2015 - 2022. 10.55730/1300-0098.3249
Vancouver	ULUCAK G,Kör A On $ mj $-clean ring and strongly $ mj $-clean ring. Turkish Journal of Mathematics. 2022; 46(SI-2): 2015 - 2022. 10.55730/1300-0098.3249
IEEE	ULUCAK G,Kör A "On $ mj $-clean ring and strongly $ mj $-clean ring." Turkish Journal of Mathematics, 46, ss.2015 - 2022, 2022. 10.55730/1300-0098.3249
ISNAD	ULUCAK, Gülşen - Kör, Arda. "On $ mj $-clean ring and strongly $ mj $-clean ring". Turkish Journal of Mathematics 46/SI-2 (2022), 2015-2022. https://doi.org/10.55730/1300-0098.3249