Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Chan Yong Hong"'
Publikováno v:
Volume: 49, Issue: 6 1974-1987
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
We study the structure of nilpotents in relation with a ring property that is near to one-sided duo rings. Such a property is said to be one-sided nilpotent-duo. We prove the following for a one-sided nilpotent-duo ring $R$: (i) The set of nilpotents
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9af21fce86027e77ef923510c6a0aad3
https://doi.org/10.15672/hujms.571016
https://doi.org/10.15672/hujms.571016
Autor:
Nam Kyun Kim, Chan Yong Hong
Publikováno v:
Journal of Pure and Applied Algebra. 223:3413-3424
In this paper, we first characterize the Levitzki radical of a skew (Laurent) polynomial ring by the prime ideals and skewed prime ideals in the base ring. We next provide formulas for the strongly prime radical and the uniformly strongly prime radic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5105d25c372b25eb5d09f41ed7036d7d
https://doi.org/10.1016/j.jpaa.2018.11.009
https://doi.org/10.1016/j.jpaa.2018.11.009
Publikováno v:
Proceedings - Mathematical Sciences. 131
Marks (J. Algebra 280 (2004) 463–471) proved that if the skew polynomial ring $$R[x;\sigma ]$$ is left or right duo, then $$R[x;\sigma ]$$ is commutative. It is proved that if $$R[x;\sigma ]$$ is weakly left (resp., right) duo over a reduced ring R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6b59617661a0f851a5cf707b5021f2e
https://doi.org/10.1007/s12044-020-00600-9
https://doi.org/10.1007/s12044-020-00600-9
Publikováno v:
Journal of Pure and Applied Algebra. 222:1513-1528
In this paper we study the homogeneity of radicals defined by nilpotence or primality conditions, in rings graded by a semigroup S . When S is a unique product semigroup, we show that the right (and left) strongly prime and uniformly strongly prime r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54dd0807f6c7b982bc8de3bf1c558616
https://doi.org/10.1016/j.jpaa.2017.07.009
https://doi.org/10.1016/j.jpaa.2017.07.009
Publikováno v:
Frontiers of Mathematics in China. 11:869-900
We study structures of Hochschild 2-cocycles related to endomorphisms and introduce a skew Hochschild 2-cocycle. We moreover define skew Hochschild extensions equipped with skew Hochschild 2-cocycles, and then we examine uniquely clean, Abelian, dire
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db4b9ab3dfa7228906e93aa1d0d7ab98
https://doi.org/10.1007/s11464-016-0552-9
https://doi.org/10.1007/s11464-016-0552-9
Publikováno v:
Journal of the Korean Mathematical Society. 52:663-683
In this note we study the structures of power-serieswise Ar- mendariz rings and IFP rings when they are skewed by ring endomor- phisms (or automorphisms). We call such rings skew power-serieswise Armendariz rings and skew IFP rings, respectively. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::764e9162ae6e0672860dea7c32de5ec8
https://doi.org/10.4134/jkms.2015.52.4.663
https://doi.org/10.4134/jkms.2015.52.4.663
Publikováno v:
Rocky Mountain J. Math. 47, no. 7 (2017), 2197-2218
We investigate when radicals $\mathfrak {F}$ satisfy Amit\-sur's property on skew polynomials of derivation type, namely, $\mathfrak {F}(R[x;\delta ])=(\mathfrak {F}(R[x;\delta ])\cap R)[x;\delta ].$ In particular, we give a new argument that the Bro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fea7bf08b710a6fd0302ca1fbd5a344
https://doi.org/10.1216/rmj-2017-47-7-2197
https://doi.org/10.1216/rmj-2017-47-7-2197
Publikováno v:
Journal of Pure and Applied Algebra. 218:1916-1931
We provide a general procedure for characterizing radical-like functions of skew polynomial and skew Laurent polynomial rings under grading hypotheses. In particular, we are able to completely characterize the Wedderburn and Levitzki radicals of skew
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e734afb15d5fede69bd528755cd44bc7
https://doi.org/10.1016/j.jpaa.2014.02.014
https://doi.org/10.1016/j.jpaa.2014.02.014
Publikováno v:
Journal of Algebra. 379:208-222
We construct examples of Ore rings satisfying some standard ring-theoretic properties for which the classical rings of quotients do not satisfy those properties. Examples of properties which do not pass to rings of quotients include: Abelian, Dedekin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4d91cab3c07ccf75b75fac038c821f4
https://doi.org/10.1016/j.jalgebra.2013.01.012
https://doi.org/10.1016/j.jalgebra.2013.01.012
Publikováno v:
Communications in Algebra. 39:1809-1825
McCoy proved in 1957 [12] that if a polynomial annihilates an ideal of polynomials over any ring then the ideal has a nonzero annihilator in the base ring. We first elaborate this McCoy's famous theorem further, expanding the inductive construction i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f738b6869926c31f31a3ec9726363e6
https://doi.org/10.1080/00927872.2010.480952
https://doi.org/10.1080/00927872.2010.480952