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T-continuous modules

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0 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2016.1226868

Abstract: ABSTRACT We introduce and investigate t-continuous modules. A module M is called t-continuous if M is t-extending, and every submodule of M which contains Z2(M) and is isomorphic to a direct summand of M, is… read more here.

Keywords: module; continuous module; right ring; continuous modules ... See more keywords

T-quasi-continuous modules

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0 Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1524010

Abstract: Abstract A module M is called t-quasi-continuous if M is t-extending and whenever A and B are nonsingular direct summands of M with , then is a direct summand of M. The class of t-quasi-continuous… read more here.

Keywords: quasi continuous; continuous modules;