期刊文献+

关于幺半群上一类新的主弱内射性质(英文) 被引量:1

On a new kind of principally weakly injective acts over monoids
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摘要 设n是一个正整数,定义了一类新的主弱内射性,称之为n-主弱内射性.利用这类新的性质给出了一些新的幺半群类的刻画. Let n be a positive integer. A new kind of injectivity, namely n-principMly weakly injective act, is defined. Through this new property the characterizations of some new classes of monoids were given.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第5期715-718,共4页 Journal of Lanzhou University(Natural Sciences)
基金 Supported by the National Natural Science Foundation of China(11901129,11101197,11001222) Foundation for Young Innovative Scientists in Gansu Province
关键词 幺半群 可除系 主弱内射系 monoids divisible act principally weakly injective act
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参考文献5

  • 1KILP M, KNAUER U, MIKHALEV A V. Monoids, acts and categories[M]. De Gruyter Expositions in Mathematics, 29. Berlin: De Gruyter Mouton, 2000: 197-202.
  • 2GOULD V A R. Divisible S-systems and R- modules[J]. Proc Edinb Math Soc, 1987, 30(2): 187-200.
  • 3ZHANG Xia, KNAUER U, WANG Yan-ming. Various notions of weak injectivity over Clifford semigroups [J]. Semigroup Forum, 2008, 76(2): 357-367.
  • 4ZHANG Xia, KNAUER U, CHEN Yu-qun. Clas- sification of monoids by injectivities: Ⅱ. CC- injectivity[J]. Semigroup Forum, 2008, 76(1): 177-184.
  • 5ZHANG Xia, KNAUER U, CHEN Yu-qun. Classifica- tion of monoids by injectivities: I . C-injectivity[J]. Semigroup Forum, 2008, 76(1): 169-176.

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