On complete lattices of radical submodules and $$ z $$-submodules

Let M be a module over a commutative ring R, and R(RM) denote the complete lattice of radical submodules of M. It is shown that if M is a multiplication R-module, then R(RM) is a frame. In particular, if M is a finitely generated multiplication R-module, then R(RM) is a coherent frame and if, in add...

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Bibliographic Details
Published in:	Algebra universalis Vol. 86; no. 1; p. 3
Main Authors:	Moghimi, Hosein Fazaeli, Mohebian, Seyedeh Fatemeh
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01.02.2025
Subjects:	Commutativity Mapping Mathematical functions Modules Multiplication Rings (mathematics)
ISSN:	0002-5240, 1420-8911
Online Access:	Get full text
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