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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 11, Pages 42–52 (Mi ivm9174)  
This article is cited in 2 scientific papers (total in 2 papers)

$UA$-properties of modules over commutative Noetherian rings

O. V. Lyubimtseva, D. S. Chistyakovb

a Nizhny Novgorod State Architecture and Building University, 65 Il'inskaya str., Nizhny Novgorod, 603109 Russia
b Lobachevsky Nizhny Novgorod State University, 23 Gagarina Ave., Nizhny Novgorod, 603022 Russia
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Abstract: 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, $UA$-module, endomorphic module.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
German Academic Exchange Service (DAAD)
Received: 28.03.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 11, Pages 35–44
DOI: https://doi.org/10.3103/S1066369X16110049
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: O. V. Lyubimtsev, D. S. Chistyakov, “$UA$-properties of modules over commutative Noetherian rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 11, 42–52; Russian Math. (Iz. VUZ), 60:11 (2016), 35–44
Citation in format AMSBIB
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\paper $UA$-properties of modules over commutative Noetherian rings
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\pages 42--52
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\vol 60
\issue 11
\pages 35--44
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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