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   On Polynomial and Multiplicative Radicals

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: S. Tumurbat R. Wiegandt

   We show that polynomial and multiplicative radicals in [1] are special cases of radicals defined by means of elements. We scrutinize the way of defining a radical γG by a subset G of polynomials in noncommuting indeterminates. Defining polynomial radicals,...

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2. 

   α-Baer rings and some related concepts via C(X)

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: A.R. Aliabad --- , , Iran A. Taherifar --- , , Iran N. Tayarzadeh --- , , Iran

   We call a commutative ring R an F IN -ring (resp., F SA-ring) if for any two finitely generated I, J ⊴R we have Ann(I)+Ann(J )=Ann(I∩J ) (resp., there is K ⊴ R such that Ann(I)+Ann(J )=Ann(K)). Moreover, we extend...

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