TY - JOUR
AU - Maulana, Iqbal
PY - 2019/10/27
Y2 - 2020/06/07
TI - Schanuel's Lemma in P-Poor Modules
JF - Jurnal Matematika "MANTIK"
JA - J. Mat. Mantik
VL - 5
IS - 2
SE - Articles
DO - 10.15642/mantik.2019.5.2.76-82
UR - http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/655
SP - 76-82
AB - 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 R in which it is projective module relative to all modules over ring R. Next, there is the fact that every module over ring R is projective module relative to all semisimple modules over ring R. If P is a module over ring R which it’s projective relative only to all semisimple modules over ring R, then P is called p-poor module. In the discussion of the projective module, there is a lemma associated with the equivalence of two modules K1 and K2 provided that there are two projective modules P1 and P2 such that is isomorphic to . That lemma is known as Schanuel’s lemma in projective modules. Because the p-poor module is a special case of the projective module, then in this paper will be discussed about Schanuel’s lemma in p-poor modules
ER -