Characterization of generalized projective and injective soft modules

被引:0
|
作者
Razzaque, Asima [1 ]
Rehman, Inayatur [2 ]
Faraz, M. Iftikhar [3 ]
Shum, Kar Ping [4 ]
机构
[1] Department of Basic Science, King Faisal University, Saudi Arabia
[2] Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah, Oman
[3] School of Engineering, Grand Valley State University, United States
[4] Institute of Mathematics, Yunnan University, Kunming,650091, China
关键词
D O I
暂无
中图分类号
学科分类号
摘要
We first introduce the concepts of projective soft LA-modules, free soft LA-modules, split sequence in soft LA-modules and establish various results on projective soft LA-modules. Then, we consider the injective soft LA-modules and give some relevant results by using free soft LA-modules and split sequences in soft LA-modules. © 2020 Forum-Editrice Universitaria Udinese SRL. All rights reserved.
引用
收藏
页码:802 / 817
相关论文
共 50 条
  • [1] Characterization of generalized projective and injective soft modules
    Razzaque, Asima
    Rehman, Inayatur
    Faraz, M. Iftikhar
    Shum, Kar Ping
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 802 - 817
  • [2] On projective and injective polynomial modules
    Maud De Visscher
    Stephen Donkin
    Mathematische Zeitschrift, 2005, 251 : 333 - 358
  • [3] On generalized injective modules and almost injective modules
    Fuchigami, Hayate
    Kuratomi, Yosuke
    Shibata, Yoshiharu
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (02)
  • [4] On projective and injective polynomial modules
    De Visscher, M
    Donkin, S
    MATHEMATISCHE ZEITSCHRIFT, 2005, 251 (02) : 333 - 358
  • [5] INJECTIVE AND PROJECTIVE BANACH MODULES
    GRAVEN, AWM
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1979, 82 (03): : 253 - 272
  • [6] COFINITELY INJECTIVE AND PROJECTIVE MODULES
    Nebiyev, C.
    Pancar, A.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (02): : 171 - 182
  • [7] Relative projective modules and relative injective modules
    Mao, Lixin
    Ding, Nanqing
    COMMUNICATIONS IN ALGEBRA, 2006, 34 (07) : 2403 - 2418
  • [8] CHARACTERIZATION OF RINGS USING POORLY INJECTIVE AND POORLY PROJECTIVE MODULES
    TUGANBAEV, AA
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1979, (03): : 48 - 51
  • [9] Locally injective modules and locally projective modules
    Kasch, F
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2002, 32 (04) : 1493 - 1504
  • [10] INJECTIVITY OF QUASI-PROJECTIVE MODULES, PROJECTIVITY OF QUASI-INJECTIVE MODULES, AND PROJECTIVE COVER OF INJECTIVE-MODULES
    BABA, Y
    JOURNAL OF ALGEBRA, 1993, 155 (02) : 415 - 434