Geodesic
$UA$-properties of modules over commutative Noetherian rings
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2016), pp. 42-52

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A semigroup $(R,\cdot)$ is said to be a $UA$-ring if there exists a unique binary operation $+$ transforming $(R,\cdot,+)$ into a ring. An $R$-module $A$ is said to be a $UA$-module if it is not possible to change the addition of $A$ without changing the action of $R$ on $A$. In this paper we investigate topics that are related to the structure of $UA$-rings of endomorphisms and $UA$-modules over commutative Noetherian rings.
Keywords: $UA$-ring, endomorphic module.
Mots-clés : $UA$-module 
@article{IVM_2016_11_a3,
     author = {O. V. Lyubimtsev and D. S. Chistyakov},
     title = {$UA$-properties of modules over commutative {Noetherian} rings},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {42--52},
     publisher = {mathdoc},
     number = {11},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_11_a3/}
}
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O. V. Lyubimtsev; D. S. Chistyakov. $UA$-properties of modules over commutative Noetherian rings. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2016), pp. 42-52. http://geodesic.mathdoc.fr/item/IVM_2016_11_a3/