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2. Almost $\pi$-lattices
- Creator:
- Jayaram, C.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $\pi $-domain, almost $\pi $-domain, $\pi $-ring, and $d$-prime element
- Language:
- English
- Description:
- In this paper we establish some conditions for an almost $\pi $-domain to be a $\pi $-domain. Next $\pi $-lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for $\pi $-rings.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
3. Laskerian lattices
- Creator:
- Jayaram, C.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- primary element, compactly packed lattice, and Laskerian lattice
- Language:
- English
- Description:
- In this paper we investigate prime divisors, $B_w$-primes and $zs$-primes in $C$-lattices. Using them some new characterizations are given for compactly packed lattices. Next, we study Noetherian lattices and Laskerian lattices and characterize Laskerian lattices in terms of compactly packed lattices.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
4. Primary elements in Prüfer lattices
- Creator:
- Jayaram, C.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- principal element, primary element, and Prüfer lattice
- Language:
- English
- Description:
- In this paper we study primary elements in Prüfer lattices and characterize $\alpha $-lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public