journal6 ›› 2002, Vol. 23 ›› Issue (1): 55-56.
• 数学 • 上一篇 下一篇
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湖北省教育厅重点科研基金支助项目(99A019)
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摘要：设S是幺半群，称A是拟投射S-系，如果对于S-满同态f:A→B和任意S-同态g:A→B，存在S-同态h:A→A使得fh=g.研究了拟投射S-系的性质，得出结论：(1)S是(半)完全幺半群任意右S-系(有限生成)有一个拟投射复盖S-系；(2)S是右遗传幺半群S的任意投射系是拟投射的.
关键词： 投射系, 拟投射系, (半)完全幺半群, 遗传幺半群
Abstract: Let S be a monoid,A is quasi-projective S -system if for every S -epimophism f:A→B and S-homomorphism g:A→B,there exists a S-homomorphism h:A→A such that fh=g.The properties of quasi-projective S -system are studied and two main results are obtained:(1) S is a(semi) perfect monoid if and only if for every (f.g.) right S-system have a quasi-projective cover S -system;(2) S is a right hereditary monoid if and only if every projective S -systemis quasi-projective.
Key words: projective system, quasi-projective system, (semi)perfect monoids, hereditary monoids
詹建明. 拟投射系[J]. journal6, 2002, 23(1): 55-56.
ZHAN Jian-Ming. On Quasi-projective System[J]. journal6, 2002, 23(1): 55-56.
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https://zkxb.jsu.edu.cn/CN/Y2002/V23/I1/55
