Semiprime - Open Access .click

Babylonian Journal of Mathematics, 2023
Prime and semiprime submodules are important generalizations of prime and semiprime ideals to module theory over commutative rings. However, minimal or smallest prime/semiprime submodules have received comparatively less attention.
R. M. Al-Masroub, Mahmood S. Fiadh
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On commuting additive mappings on semiprime rings

, 2020
The main purpose of this paper is to describe the structure of a pair of additive mappings that are commuting on a semiprime ring.
Siriporn Lapuangkham, U. Leerawat
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On distribution of semiprime numbers

Russian Mathematics, 2014
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be a natural number and g(y) be the probability for a number y to be semiprime. In this paper we derive an asymptotic formula to count g(y) for large y and evaluate its correctness for different y.
Ishmukhametov S., Sharifullina F.
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Semiprime ore extensions [PDF]

Communications in Algebra, 2000
A Ting R with a derivation δ is called δ-semiprime if for any δ-ideal I of R (i.e., an ideal I such that δ(I)⊆ I)I 2 = 0 implies I = 0.R is called δ-quasi-Baer (resp. quasi-Baer) if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent of R.
Yasuyuki Hirano, Hongkee Kim, Juncheol Han +2 more
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