Projection invariant $t$-Baer and related modules

Yeliz Kara

doi:10.3842/umzh.v75i10.7244

Yeliz Kara Department of Mathematics, Bursa Uludağ University, Görükle, Turkey

DOI: https://doi.org/10.3842/umzh.v75i10.7244

Keywords: t-essential, t-extending, projection invariant submodule, pi-e.Baer module, t-Baer, endomorphism ring

Abstract

UDC 512.5

We investigate the concepts of projection invariant $t$-extending modules and projection invariant $t$-Baer modules, which are generalized to those $\pi$-extending and $t$-Baer notions, respectively. Several structural properties are obtained and some applications are developed. It is proved that the $\pi$-$t$-extending modules and $\pi$-$t$-e. Baer modules are connected with each other. Moreover, we obtain a characterization for $\pi$-$t$-extending modules relative to the annihilator conditions.

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