“…In other words it is free from the elements of infinite height. The module M is called separable [13] if M 1 = 0. A submodule N of M is said to be high [15], if it is a complement of M 1 i.e., M = N ⊕ M 1 .…”
Section: Introduction Notation and Other Conventionsmentioning
We show the inheritance of summable property for certain fully invariant submodules by the QT AG-modules and vice versa. Important generalizations and extensions of classical results in this direction are also established.
“…In other words it is free from the elements of infinite height. The module M is called separable [13] if M 1 = 0. A submodule N of M is said to be high [15], if it is a complement of M 1 i.e., M = N ⊕ M 1 .…”
Section: Introduction Notation and Other Conventionsmentioning
We show the inheritance of summable property for certain fully invariant submodules by the QT AG-modules and vice versa. Important generalizations and extensions of classical results in this direction are also established.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.