Semiprime

Known as: Semi-prime, Two-almost prime, Pq number

In mathematics, a semiprime (also called biprime or 2-almost prime, or pq number) is a natural number that is the product of two (not necessarily…

Papers overview

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2013

Abstract. Let $R$ be a semiprime ring with center $Z\left( R \right)$ . For $x,\,y\,\in \,R$ , we denote by $\left[ x,\,y \right…

Highly Cited

2007

Highly Cited

2007

2000

1997

The purpose of this paper is to investigate identities satisfied by centralizers on prime and semiprime rings. We prove the…

1993

1991

We describe Jordan homomorphisms and Jordan triple homomorphisms onto 2-torsion free semiprime rings in which the annihilator of…

1988

1988

In a commutative f-ring, an 1-ideal I is called pseudoprime if ab = 0 implies a E I or b E I, and is called square dominated if…

1978

A first-order theory is companionable if it is mutually model-consistent with a model-complete theory. The latter theory is then…

1957

A ring having no nonzero left annihilator will be called a faithful ring. Thus, if R is a faithful ring, aRlDO for every nonzero…