Generalized P-Krull Domains


  • Waheed Ahmad Khan Caledonian College of Engineering, PO Box 2322, CPO Seeb 111, Sultanate of Oman


Pseudovaluation domains, Krull domains, P-Krull monoid


In [7] author (with A. Taouti) introduced P-Krull monoids and in [8] we presented P-Krull domains. As a result of bridging link the above, we came up with generalized P-Krull domains. However, generalized P-Krull domains are weak but simultaneously parallel to generalized Krull domains.


J. R. Hedstrom and E. G. Houston, "Pseudo-valuation domains", Pacific journal of Mathematics, Vol. 75, No 1(1978).

R. Gilmer, "Multiplicative ideal theory", Marcel Dekker. ing. New York 1972.

S. Elaydi, E. S. Titi, M. Saleh, S. K Jain, R. Abu-Saris, Mathematics and Mathematics Education Proceeding of third Palestinian Conference, World Scientific, Published 2002.

T. Shah, Half-Factoriality of D[S], Bull. Korean Math. Soc. 44 (2007), No. 4, pp. 771-775.

T. Shah, W.A. Khan, On Factorization properties of monoid S and monoid domain D[S], International Mathematical Forum, 5 (2010), no. 18, 891-902.

Waheed Ahmad Khan and Abdelghani Taouti, Pseudo-valuation maps and pseudo-valuation domains, Applied Mathematical Sciences, Vol. 7, 2013, no. 17, 799-805.

Waheed Ahmad Khan and Abdelghani Taouti, On P-Krull monoids, International Journal of Pure and Applied Mathematics, Vol. 84, No. 4 (2013).

Waheed Ahmad Khan, Tariq Shah and Abdelghani Taouti, Domains like Krull domains and their factorization properties, World Applied Sciences Journal, Vol 22(1), 2013, 121-125.




How to Cite

Khan, W. A. (2013). Generalized P-Krull Domains. Asian Journal of Computer and Information Systems, 1(3). Retrieved from