Our Journal ATA was found in the Winter of 1984 at the beautiful coastal city Dalian, China, the Editors in chief were Professor C.K.Chui (abroad), and the late Professor M.D.Cheng (domestic). 20 years, it seems to be...Our Journal ATA was found in the Winter of 1984 at the beautiful coastal city Dalian, China, the Editors in chief were Professor C.K.Chui (abroad), and the late Professor M.D.Cheng (domestic). 20 years, it seems to be short, however, the Journal has developed quickly and changed a lot.展开更多
In ref. [1] it is shown that the Mobius-Rota inversion can be generalized to any locallystandard infinite poset S in the nonstandard sense. The result is as follows. Let C be a locally<sup>*</sup>-finite p...In ref. [1] it is shown that the Mobius-Rota inversion can be generalized to any locallystandard infinite poset S in the nonstandard sense. The result is as follows. Let C be a locally<sup>*</sup>-finite poset with a 0-element O. Suppose that <sup>*</sup>μ<sub>1</sub>∈<sup>*</sup>I（C,<sup>*</sup>K）. a <sup>*</sup>-incidence algebra of C,over a field <sup>*</sup>K of characteristic O. possesses an inverse <sup>*</sup>μ<sub>2</sub>=<sup>*</sup>μ<sub>1</sub><sup>-1</sup>,where <sup>*</sup>μ<sub>1</sub>, <sup>*</sup>μ<sub>2</sub> are<sup>*</sup>-Mobius operators. Then for <sup>*</sup>f, <sup>*</sup>g∈Map （C. <sup>*</sup>K）, the functions from C into <sup>*</sup>K,展开更多
文摘Our Journal ATA was found in the Winter of 1984 at the beautiful coastal city Dalian, China, the Editors in chief were Professor C.K.Chui (abroad), and the late Professor M.D.Cheng (domestic). 20 years, it seems to be short, however, the Journal has developed quickly and changed a lot.
文摘In ref. [1] it is shown that the Mobius-Rota inversion can be generalized to any locallystandard infinite poset S in the nonstandard sense. The result is as follows. Let C be a locally<sup>*</sup>-finite poset with a 0-element O. Suppose that <sup>*</sup>μ<sub>1</sub>∈<sup>*</sup>I（C,<sup>*</sup>K）. a <sup>*</sup>-incidence algebra of C,over a field <sup>*</sup>K of characteristic O. possesses an inverse <sup>*</sup>μ<sub>2</sub>=<sup>*</sup>μ<sub>1</sub><sup>-1</sup>,where <sup>*</sup>μ<sub>1</sub>, <sup>*</sup>μ<sub>2</sub> are<sup>*</sup>-Mobius operators. Then for <sup>*</sup>f, <sup>*</sup>g∈Map （C. <sup>*</sup>K）, the functions from C into <sup>*</sup>K,
