DUAL RICKART (BEAR) MODULES AND PRERADICALS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

Abstract

In this work, we introduce dual Rickart (Baer) modules via the con-
cept of preradicals. It is shown that W is  -d Rickart if and only if
W =  (W)  L such that  (W) is a dual Rickart module. We prove
that a module W is  -d Baer if and only if W is  -d Rickart and W
satis es strongly summand sum property for d.s. submodules of W
contained in  (W). Via  (RR), we characterize right  -d Baer rings.

Keywords

References

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Journal of Algebraic Systems
Volume 12, Issue 1
September 2024
Pages 179-191

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