@article{article_515703, title={An almost orthosymmetric bilinear map}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={68}, pages={2143–2153}, year={2019}, DOI={10.31801/cfsuasmas.515703}, author={Yılmaz, Ruşen}, keywords={Vector lattice,order bidual,Arens adjoint,pseudo-almost $f$-algebra}, abstract={<p>In this paper, as a generalization of the concept of pseudo-almost <i>f </i>-algebra, we define a new concept of almost orthosymmetric bilinear map on a vector lattice and prove that the Arens triadjoint of a positive almost orthosymmetric bilinear map is positive almost orthosymmetric.This also extends results on the order bidual of pseudo-almost <i>f </i>-algebras. </p> <p> <br /> </p>}, number={2}, publisher={Ankara University}