Strictly homogeneous laterally complete modules

Algebra, Analysis and Quantum Probability

Chilin, V.I.^1 ; Karimov, J.A.^1

Faculty of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, Tashkent

100174, Uzbekistan^1

关键词: Idempotents;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012002/pdf
DOI  :  10.1088/1742-6596/697/1/012002

来源: IOP

【 摘 要 】

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.