Strongly Quasi-Duo Rings
Abstract
In this paper we extend the concepts of two sided ideal and
right quasi-duo ring. These ideals and rings are called totally fully in-
variant and right strongly quasi-duo, respectively. Right strongly quasi-
duo rings are always right quasi-duo. We investigate the properties of
these rings and ideals and show among other things that right strongly
quasiduo rings are classical, directly finite and cohopfian while right
quasi duo, right duo or commutative rings do not have necessarily these
properties.
right quasi-duo ring. These ideals and rings are called totally fully in-
variant and right strongly quasi-duo, respectively. Right strongly quasi-
duo rings are always right quasi-duo. We investigate the properties of
these rings and ideals and show among other things that right strongly
quasiduo rings are classical, directly finite and cohopfian while right
quasi duo, right duo or commutative rings do not have necessarily these
properties.
Keywords
Quasi-duo rings, strongly quasi-duo rings,
totally fully invariant right ideals
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