Quasi-principally k-projective Semimodules

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 213-216.

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)；

Abstract

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

CLC Number:

O153.3

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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[4]	Chen Huanyin. On Projective Modules with Constant Ranks [J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 74-78.

Quasi-principally k-projective Semimodules

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