JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (12): 92-95.doi: 10.6040/j.issn.1671-9352.0.2021.658

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On feckly-reduced rings

WU Wen-tao1, WANG Yao1, REN Yan-li2*   

  1. 1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China;
    2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China
  • Published:2022-12-05

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Abstract: We give some equivalent characterizations of feckly-reduced rings, and study the relationships between feckly-reduced rings and related rings.

Key words: feckly-reduced ring, feckly-semicommutative ring, feckly-reversible ring, extension of ring

CLC Number: 

  • O153.3
[1] UNGOR B, GURGUN O, HALICIOGLU S. Feckly reduced rings[J]. Hacet J Math Stat, 2015, 44(2):375-384.
[2] KWAK T K, LEE Y, OZCAN A C. On Jacobson and nil radical related to polynomial rings[J]. J Korean Math Soc, 2016, 53(2):415-431.
[3] KOSAN M T, LEROY A, MATCZUK J. On UJ-rings[J]. Comm Algebra, 2018, 46(5):2297-2303.
[4] CALUGAREANU G. UU rings[J]. Carpath J Math, 2015, 31(2):157-163.
[5] MARKS G. A taxonomy of 2-primal rings[J]. J Algebra, 2003, 266:494-520.
[6] CALCI M B, HALICIOGLU S, HARMANCI A. A class of J-quasipolar rings[J]. Mathematics, 2015, 97(3):463-496.
[7] WAN L-Y. On weakly Abelian rings[J]. J Xinyang Normal University(Natur Sci), 2012, 25(3):285-288.
[8] KWAK T K, LEE Y, OZCAN A C. On Jacobson and nil radicals related to polynomial rings[J]. J Korean Math Soc, 2016, 53(2):415-431.
[9] KIM N K, LEE Y. Extensions of reversible rings[J]. J Pure Appl Algebra, 2003, 185(1):207-223.
[10] PAYKAN, KAMAL. Skew inverse power series rings over a ring with projective socle[J]. Czech Math J, 2017, 67(2):389-395.
[11] PAYKAN K, MOUSSAVI A. Study of skew inverse Laurent series rings[J]. J Algebra Appl, 2017, 16(12):1-29.
[12] DORROH J L. Concerning adjunctions to algebras[J]. Bull Amer Math Soc, 1932, 38(2):85-88.
[13] NAGATA M. Local rings[M]. New York: Interscience Publishers, 1962.
[1] JIANG Mei-mei, WANG Yao, REN Yan-li. Feckly McCoy and feckly Armendariz rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(10): 21-27.
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