UNIQUE FACTORIZATION AND BIRTH OF ALMOST PRIMES

By S. M. Bhatwadekar, P. K. Sharma. 2005

70 citations recorded by the source corpus.

Subfields: Algebra and Number Theory

View Paper: https://www.semanticscholar.org/paper/5576b5f73c48c4ec8ace6af5e41334f321e18aea

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In Algebra and Number Theory

1. F. Soheilnia
2. Daniel D. Anderson
3. Ahmad Yousefian Darani
4. Malik Bataineh
5. Ayman Badawi

Citations in the corpus

• 2-Absorbing and Weakly 2-Absorbing Submodules (2012, background): “A proper ideal I of R is said to be almost prime provided that a, b ∈ R with ab ∈ I − I(2) imply that a ∈ I or b ∈ I (see [2]).”
• Generalizations of Prime Ideals (2008, background): “Bhatwadekar and Sharma (2005) recently defined a proper ideal I of an integral domain R to be almost prime if for a b ∈ R with ab ∈ I − I2, then either a ∈ I or b ∈ I .”