RELATIVE ASCENT AND DESCENT IN A DOMAIN EXTENSION
RELATIVE ASCENT AND DESCENT IN A DOMAIN EXTENSION
In this study we continue to investigate the ascent and descent of valuation domains, PVDs, GCD-domains, ∗-domains, ∗∗-domains, locally ∗- domains, URDs, UFDs, RBFDs, CK -domains, BVDs, CHFDs, and a particular case of LHFDs for domain extensions A ⊆ B relative to the Condition 1: “Let A ⊆ B be a unitary commutative ring extension. For each b ∈ B there exist u ∈ U(B) and a ∈ A such that b = au” and with the further assumption that the conductor ideal A : B is a maximal ideal in A.
Keywords:
conductor ideal, atomic domain, ascent descent,
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- Department of Mathematics Quaid-i-Azam University Islamabad, Pakistan e-mail: stariqshah@gmail.com
- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI
Sayıdaki Diğer Makaleler
RELATIVE ASCENT AND DESCENT IN A DOMAIN EXTENSION
MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p
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A NOTE ON THE CANCELLATION PROPERTIES OF SEMISTAR OPERATIONS
WHEN DOES A RING EXTENSION OF A GOING-DOWN DOMAIN SATISFY GOING-DOWN?
ASCENTS AND DESCENTS OF SEMISTAR OPERATIONS AND LOCALIZING SYSTEMS
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