拟主k-投射半模

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 213-216.

拟主k-投射半模

1. Science College, Civil Aviation University of China2. School of Mathematical Sciences, Nankai University3. Center for Combinatorics, Nankai University

收稿日期:2008-06-12 出版日期:2011-06-30 发布日期:2023-04-27
作者简介:WANG Xiu-li(1976-), female, native of Changchun, Jilin, a lecturer of Civil Aviation University of China, M.S.D., engaged in ring and algebra.
基金资助:
Supported by the Science Foundation of Tianjin(08JCYBJC13900)； Supported by the Civil Aviation University of China(2010kys06)；

Quasi-principally k-projective Semimodules

1. Science College, Civil Aviation University of China2. School of Mathematical Sciences, Nankai University3. Center for Combinatorics, Nankai University

Received:2008-06-12 Online:2011-06-30 Published:2023-04-27
About author:WANG Xiu-li(1976-), female, native of Changchun, Jilin, a lecturer of Civil Aviation University of China, M.S.D., engaged in ring and algebra.
Supported by:
Supported by the Science Foundation of Tianjin(08JCYBJC13900)； Supported by the Civil Aviation University of China(2010kys06)；

摘要/Abstract

摘要： In this paper, we principally introduce the concept of quasiprincipally k-projective semimodules, on the basis of the theories of k-projective semimodules and quasi-principally modules, we get some good properties of quasi-principally k-projective semimodules, therefore generalize some properties of quasi-principally modules of ring and k-projective semimodules of semiring to quasi-principally k-projective semimodules of semiring.

关键词: subtractive semimodules, k-regular homomorphism, quasi-principally k-projective
semimodules, proper exact sequence

Abstract: In this paper, we principally introduce the concept of quasiprincipally k-projective semimodules, on the basis of the theories of k-projective semimodules and quasi-principally modules, we get some good properties of quasi-principally k-projective semimodules, therefore generalize some properties of quasi-principally modules of ring and k-projective semimodules of semiring to quasi-principally k-projective semimodules of semiring.

Key words: subtractive semimodules, k-regular homomorphism, quasi-principally k-projective
semimodules, proper exact sequence

中图分类号:

O153.3

王秀丽, 周茂袁, 陈志寅. 拟主k-投射半模[J]. 数学季刊, 2011, 26(2): 213-216.

WANG Xiu-li, ZHOU Mao-yuan, CHEN Zhi-yin. Quasi-principally k-projective Semimodules [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 213-216.

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