Strictly homogeneous laterally complete modules
Vladimir ChilinFaculty of Mechanics and Mathematics, National University of Uzbekistan, 100174, Vuzgorodok, Tashkent, UzbekistanJasurbek A. KarimovFaculty of Mechanics and Mathematics, National University of Uzbekistan, 100174, Vuzgorodok, Tashkent, Uzbekistan
ABI
Аннотация
Let A be a laterally complete commutative regular algebra and X be a laterally complete A-module. In this paper we introduce a notion of homogeneous and strictly homogeneous A-modules. It is proved that any homogeneous A-module is strictly homogeneous A-module, if the Boolean algebra of all idempotents in A is multi-σ-finite.
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