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PP-rings of generalized power series. (English) Zbl 1015.16046

English translation of the article reviewed above (Zbl 1015.16045).

MSC:

16W60 Valuations, completions, formal power series and related constructions (associative rings and algebras)

Citations:

Zbl 1015.16045
Full Text: DOI

References:

[1] J A Fraser, W K Nicholson. Reduced PP-rings. Math Japonica, 1989, 34(5): 715–725 · Zbl 0688.16024
[2] P Ribenboim. Generalized power series. Lattices, Semigroups and Universal Algebra (Almeida J Bordalo G and Dwinger P, Eds), New York: Plenum, 1990 · Zbl 0757.06009
[3] P Ribenboim. Rings of generalized power series: Nilpotent elements. Abh Math Sem Univ Hamburg, 1991, 61: 15–33 · Zbl 0751.13005 · doi:10.1007/BF02950748
[4] P Ribenboim. Noetherian rings of generalized power series. J Pure Appl Algebra, 1992, 79: 293–312 · Zbl 0761.13007 · doi:10.1016/0022-4049(92)90056-L
[5] P Ribenboim. Rings of generalized power series II: units and zero-divisors. J Algebra, 1994, 168: 71–89 · Zbl 0806.13011 · doi:10.1006/jabr.1994.1221
[6] P Ribenboim. Special properties of generalized power series. J Algebra, 1995, 173: 566–586 · Zbl 0852.13008 · doi:10.1006/jabr.1995.1103
[7] G A Elliott, P Ribenboim. Fields of generalized power series. Arch Math, 1990, 54: 365–371 · Zbl 0676.13010 · doi:10.1007/BF01189583
[8] L Chen, W Xue. Weakly PP-rings. Math Japonica, 1994, 39(2): 361–365 · Zbl 0813.16003
[9] A Hattori. A foundation of torsion theory for modules over general rings. Nagoya Math J, 1960, 17: 147–158 · Zbl 0117.02202
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