JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (11): 71-75.doi: 10.6040/j.issn.1671-9352.0.2022.556

Previous Articles     Next Articles

D-superfluous subacts of S-acts

Ruixia LU(),Husheng QIAO*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2022-11-14 Online:2023-11-20 Published:2023-11-07
  • Contact: Husheng QIAO E-mail:3053943787@qq.com;gsqiaohsh@163.com

RichHTML

3

PDF (PC)

215

Abstract:

Let S be a monoid, A be an S-act. Based on the concept of superfluous subacts of S-acts, the concept of D-superfluous subacts and its basic properties are studied. Finally, some properties of D-radicals of S-acts are defined and studied.

Key words: subact, superfluous subact, D-superfluous subact, D-radical

CLC Number: 

  • O152.7
1 刘仲奎, 乔虎生. 半群的S-系理论[M]. 北京: 科学出版社, 2008.
LIU Zhongkui , QIAO Husheng . The S-act theory of semigroups[M]. Beijing: Science Press, 2008.
2 乔虎生, 刘仲奎. 半群引论[M]. 北京: 科学出版社, 2019.
QIAO Husheng , LIU Zhongkui . An introduction to semigroups[M]. Beijing: Science Press, 2019.
3 ANDERSON F W , FULLER K R . Rings and categories of modules[M]. New York: Springer-Verlag, 1974.
4 BEYRANVAND R , MORADI F . Small submodules with respect to an arbitrary submodule[J]. Journal of Algebra and Related Topics, 2015, 3 (2): 43- 51.
5 SAFAEEYAN S , SHIRAZI N S . Essential submodules with respect to an arbitrary submodule[J]. Journal of Mathematical Extension, 2013, 7 (3): 15- 27.
6 SANGWIROTJANAPAT S , PIANSKOOL S . T-small submodules with respect to an arbitrary submodule[J]. JP Journal of Algebra, Number Theory and Applications, 2018, 40 (1): 91- 112.
doi: 10.17654/NT040010091
7 KHOSRAVI R , ROUEENTAN M . Co-uniform and hollow S-acts over monoids[J]. Communications of the Korean Mathematical Society, 2022, 37 (2): 347- 358.
8 ABDULKAREEM S A . On hollow acts[J]. IOP Conference Series: Materials Science and Engineering, 2020, 928 (4): 1- 14.
[1] LI Xiao-xia, QIAO Hu-sheng. Properties of amalgamated coproduct AEuclid ExtraCA@BA [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(10): 11-15.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] DING Mei,FENG Jun-e and WANG Zhi-hong . The minimum time problem of crossing river with restricted conditions[J]. J4, 2007, 42(3): 23 -28 .
[2] JIN Zhi, HU Nai-feng, LIU Qiang, WANG Pu*. Application of TbfmocMetOH for solid phase synthesis of ubiquitin[J]. J4, 2011, 46(7): 21 -25 .
[3] QIN Zhao-yu,LIU Shi-lian*,YANG Yin-rong,LIU Fu-jun,LI Jian-yuan,SONG Chun-hua . Technology exploration for proteomics analysis in hepatopancreas of shrimp (Fenneropenaeus chinensis) with white spot syndrome[J]. J4, 2007, 42(7): 5 -08 .
[4] WU Dai-yong. Global attractivity of a nonlinear discrete Logistic model  with feedback control[J]. J4, 2013, 48(4): 114 -110 .
[5] YU Wen-guang1, HUANG Yu-juan2. Ruin probability in an interfered multi-type risk model of a variable ruin limit[J]. J4, 2011, 46(3): 58 -62 .
[6] LI Rong1，2. Study on the heat transfer in three-layer and one-dimensional thin non-metallic film[J]. J4, 2012, 47(7): 39 -43 .
[7] WANG Qiu-hua,ZHANG Xing-dong . The fast and parallel Halley algorithm for finding all zeros of a polynomial[J]. J4, 2007, 42(11): 114 -120 .
[8] ZHANG Fang-guo. Elliptic curves in cryptography: past, present and future…[J]. J4, 2013, 48(05): 1 -13 .
[9]

GAO Li-li,MA Xia,ZHAO Hong-fei,PEI Jia-wei,L〖AKU¨〗 Zhao-lin,ZHANG Bo-lin *

.

Physiological characteristics of Lactobacillus delbrueckii subsp. lactis
mutant strains with reduced H+-ATPase activity

[J]. J4, 2008, 43(7): 1 -09 .
[10] LIU Hua ,LIU Zhi-guang ,SU Min ,LI Zi-zhen , . Clumping effect in a host—parasitoid interaction model[J]. J4, 2008, 43(8): 31 -34 .
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd