数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 32-40.

• 论文 • 上一篇    下一篇

AN ANALOGUE OF K¨UNNETH THEOREM IN STRONG HOMOLOGY

 Dae-Woong Lee   

  1. Department of Mathematics, Myungshin University, Sunchon, Chonnam 540-871, South Korea
  • 出版日期:2002-01-14 发布日期:2002-01-14
  • 基金资助:

    The author was supported by the KOSEF, 1999

AN ANALOGUE OF K¨UNNETH THEOREM IN STRONG HOMOLOGY

 Dae-Woong Lee   

  1. Department of Mathematics, Myungshin University, Sunchon, Chonnam 540-871, South Korea
  • Online:2002-01-14 Published:2002-01-14
  • Supported by:

    The author was supported by the KOSEF, 1999

摘要:

After defining the strong tensor product of strong (sub)chain complexes, it is shown that an analogue of the K¨unneth theorem holds in strong homology by proving that the kernel (cokernel) of connecting homomorphisms is isomorphic to the direct sum of torsion (tensor) products of strong homology groups. An isomorphism between strong (r-stage) homology groups of inverse systems is also constructed.

关键词: Derived limit, strong (r-stage) homology, strong tensor product, Mittag-Leffler property

Abstract:

After defining the strong tensor product of strong (sub)chain complexes, it is shown that an analogue of the K¨unneth theorem holds in strong homology by proving that the kernel (cokernel) of connecting homomorphisms is isomorphic to the direct sum of torsion (tensor) products of strong homology groups. An isomorphism between strong (r-stage) homology groups of inverse systems is also constructed.

Key words: Derived limit, strong (r-stage) homology, strong tensor product, Mittag-Leffler property

中图分类号: 

  • 55U25