The Maximal Co-Rational Extension by a Module
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 953-962
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Modules are S-modules where S is an arbitrary ring with or without a unit element. We consider a projective module P having a submodule K such that K + Y = P implies that the submodule Y is P (P, then, is a projective cover of P/K (Definition 4 in this section)) and we define the submodule X of P by Our main result states that up to isomorphism P/X is the maximal co-rational extension over P/K (by P/K, in the more precise wording of the title).
Courter, R. C. The Maximal Co-Rational Extension by a Module. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 953-962. doi: 10.4153/CJM-1966-095-1
@article{10_4153_CJM_1966_095_1,
author = {Courter, R. C.},
title = {The {Maximal} {Co-Rational} {Extension} by a {Module}},
journal = {Canadian journal of mathematics},
pages = {953--962},
year = {1966},
volume = {18},
number = {1},
doi = {10.4153/CJM-1966-095-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-095-1/}
}
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