On feckly polar rings

ÇALCI T., Chen H.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.18, sa.2, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s021949881950021x
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Feckly polar ring, strongly pi-regular ring, pseudopolar ring, matrix extension, PSEUDO DRAZIN INVERSE, ELEMENTS, SUM
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new notion which lies properly between strong pi-regularity and pseudopolarity. A ring R is feckly polar if for any a is an element of R there exists e is an element of comm(2) (a) such that a - e is an element of U(R), e - e(2) is an element of J(R) and (ae)(n) is an element of J(R) for some n is an element of N. Many structure theorems are proved. Further, we investigate feck polarity for triangular matrix and matrix rings. The relations among strongly pi-regular rings, pseudopolar rings and feckly polar rings are also obtained.