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pro vyhledávání: '"Localization of a ring"'
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Akademický článek
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Publikováno v:
Advances in Science, Technology and Engineering Systems, Vol 2, Iss 5, Pp 104-108 (2017)
In this paper, we study the elliptic curve E_{a,b}(A_P)E a,b (A P ), with A_PA P the localization of the ring A=F _p[e_1,...,e_n]A=F p [e 1 ,...,e n ] where e_ie_i=e_ie i e i =e i and e_ie_j=0e i e j =0 if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d4bb3dce2f0fc75b8956f14106fa64f
https://doi.org/10.25046/aj020517
https://doi.org/10.25046/aj020517
Autor:
Kamal Paykan
Publikováno v:
Czechoslovak Mathematical Journal. 67:389-395
A ring R is called a right PS-ring if its socle, Soc(R R ), is projective. Nicholson and Watters have shown that if R is a right PS-ring, then so are the polynomial ring R[x] and power series ring R[[x]]. In this paper, it is proved that, under suita
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8289633b2dddc8a7cc1eefec6dab2557
https://doi.org/10.21136/cmj.2017.0672-15
https://doi.org/10.21136/cmj.2017.0672-15
Autor:
Tsiu-Kwen Lee, Münevver Pınar Eroǧlu
Publikováno v:
Communications in Algebra. 45:4550-4556
Let R be a simple GPI-ring (i.e., a simple ring satisfying a nontrivial generalized polynomial identity) with a nonzero derivation delta and with Martindale symmetric ring of quotients Q. Motivated by the Noether-Skolem theorem, we characterize linea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13f8f896032a36a6afe32e8c690822eb
https://doi.org/10.1080/00927872.2016.1271422
https://doi.org/10.1080/00927872.2016.1271422
Publikováno v:
Frontiers of Mathematics in China. 12:117-134
Let R be a ring with identity. We use J(R); G(R); and X(R) to denote the Jacobson radical, the group of all units, and the set of all nonzero nonunits in R; respectively. A ring is said to be Abelian if every idempotent is central. It is shown, for a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fd68d9f05942fa6b9af4975b037cce8
https://doi.org/10.1007/s11464-016-0586-z
https://doi.org/10.1007/s11464-016-0586-z
Autor:
Anar Dosi
Publikováno v:
Communications in Algebra. 44:4892-4944
In this paper we investigate the topological localizations of Lie-complete rings. It has been proved that a topological localization of a Lie-complete ring is commutative modulo its topological nilradical. Based on the topological localizations we de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95a034654176a65d8d054339cf5af55c
https://doi.org/10.1080/00927872.2015.1130135
https://doi.org/10.1080/00927872.2015.1130135
Autor:
Hiren D. Patel, S. Visweswaran
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 22, Iss 1, Pp 1-21 (2016)
Let R be a commutative ring with identity. Let A(R) denote the collection of all annihilating ideals of R (that is, A(R) is the collection of all ideals I of R which admits a nonzero annihilator in R). Let AG(R) denote the annihilating ideal graph of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75519702fe9256e69cfd88210898c23b
Autor:
David E. Dobbs, Jay Shapiro
Publikováno v:
Kyungpook mathematical journal. 55:817-826
Let R be a commutative ring with total quotient ring K. Each monomorphic R-module endomorphism of a cyclic R-module is an isomorphism if and only if R has Krull dimension 0. Each monomorphic R-module endomorphism of R is an isomorphism if and only if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f9117430fbb911c47902ab376d6fd45
https://doi.org/10.5666/kmj.2015.55.4.817
https://doi.org/10.5666/kmj.2015.55.4.817
Autor:
Ahmad Moussavi, R. Manaviyat
Publikováno v:
Algebra Colloquium. 22:607-620
Let R be a ring with a derivation δ and R((x-1; δ)) denote the pseudo-differential operator ring over R. We study the relations between the set of annihilators in R and the set of annihilators in R((x-1; δ)). Among applications, it is shown that f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73f7333c96bd122269bea8a0ca6095a6
https://doi.org/10.1142/s1005386715000528
https://doi.org/10.1142/s1005386715000528