A generalization of quantales with applications to modules and rings

作者：Gabriel Medina Barcenas Mauricio; Angel Zaldivar Corichi Luis; Shaid Sandoval Miranda Martha Lizbeth

来源：Journal of Pure and Applied Algebra, 2016, 220(5): 1837-1857.

DOI：10.1016/j.jpaa.2015.10.004

In this paper we introduce a lattice structure as a generalization of meet-continuous lattices and quantales. We develop a point-free approach to these new lattices and apply these results to R-modules. In particular, we give a module counterpart of the well known result that in a commutative ring the set of semiprime ideals, that is, radical ideals is a frame.

• 出版日期2016-5