@article{Maulana_2019, title={Schanuel’s Lemma in P-Poor Modules}, volume={5}, url={http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/655}, DOI={10.15642/mantik.2019.5.2.76-82}, abstractNote={<p>Modules are a generalization of the vector spaces of linear algebra in which the “scalars” are allowed to be from a ring with identity, rather than a field. In module theory there is a concept about projective module, i.e. a module over ring <em>R</em> in which it is projective module relative to all modules over ring <em>R</em>. Next, there is the fact that every module over ring <em>R</em> is projective module relative to all semisimple modules over ring <em>R</em>. If <em>P</em> is a module over ring <em>R</em> which it’s projective relative only to all semisimple modules over ring <em>R</em>, then <em>P</em> is called <em>p</em>-poor module. In the discussion of the projective module, there is a lemma associated with the equivalence of two modules <em>K</em><sub>1</sub> and <em>K</em><sub>2</sub> provided that there are two projective modules <em>P</em><sub>1</sub> and <em>P</em><sub>2</sub> such that is isomorphic to . That lemma is known as Schanuel’s lemma in projective modules. Because the <em>p</em>-poor module is a special case of the projective module, then in this paper will be discussed about Schanuel’s lemma in <em>p</em>-poor modules</p>}, number={2}, journal={Jurnal Matematika "MANTIK"}, author={Maulana, Iqbal}, year={2019}, month={Oct.}, pages={76-82} }