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$I$-compactness and prime ideals [PDF]
Publicationes Mathematicae Debrecen, 2022 Ein Ring \(R\) mit Einselement heißt ein rechter Kettenring, wenn die Menge der Rechtsideale durch Inklusion linear geordnet ist. Ist \(I\) ein Rechtsideal von \(K\), so heißt \(R\) \(I\)-kompakt, wenn die kanonische Abbildung von \(R\) in den inversen Limes von \(R/I_ \lambda\) für jede Familie \(\{\lambda\mid \lambda\in \Lambda\}\) von Rechtsidealen \
Törner, Günter, Brungs, H.H.
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Primary Ideals and Prime Power Ideals
Canadian Journal of Mathematics, 1966This paper is concerned with the ideal theory of a commutative ringR.We sayRhas Property (α) if each primary ideal inRis a power of its (prime) radical;Ris said to have Property (δ) provided every ideal inRis an intersection of a finite number of prime power ideals. In (2, Theorem 8, p.
Butts, H. S., Gilmer, R. W. jun.
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Rough prime ideals and rough fuzzy prime ideals in semigroups
Information Sciences, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi-Mei Xiao, Zhen-Liang Zhang
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Fuzzy prime ideals and prime fuzzy ideals
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Systems, 1996
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Alfonso Garmendia +2 more
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Alfonso Garmendia +2 more
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Chain rings and prime ideals [PDF]
Archiv der Mathematik, 1976 (MR: 54: 7537)
Törner, Günter, Brungs, H.H.
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2018
In this article, we introduce an intermediate classes of ideals between prime and quasi primary ideals, denoted by R-prime, and we focus on some properties of R-prime ideals. Moreover, we defined a topology on the set of all R-prime ideals such that we examine the topological concepts, irreducibility, connectedness, and seperation axioms.
Sevim, Esra Sengelen, Koc, Suat
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In this article, we introduce an intermediate classes of ideals between prime and quasi primary ideals, denoted by R-prime, and we focus on some properties of R-prime ideals. Moreover, we defined a topology on the set of all R-prime ideals such that we examine the topological concepts, irreducibility, connectedness, and seperation axioms.
Sevim, Esra Sengelen, Koc, Suat
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Results in Mathematics, 1993
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Birkenmeier, Gary +2 more
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Birkenmeier, Gary +2 more
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On ideal-quotients and prime ideals
Acta Mathematica Academiae Scientiarum Hungaricae, 1953zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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