Add to ORKGAn ideal I in a ring R is called a lifting ideal if idempotents can be lifted modulo every left ideal contained in I: In this paper we extend this notion to the context of associative pairs and characterize when the Jacobson radical of an associative pair is a lifting ideal. 2010 Mathematics Subject Classication: 16U99, 16D8
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
AbstractSeveral important classes of rings can be characterized in terms of liftings of idempotents ...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
AbstractIn 1977, Nicholson developed the theory of suitable rings (Trans. Amer. Math. Soc.229 (1977)...
AbstractIf I is an ideal of a ring R, we say that idempotents lift strongly modulo I if, whenever a2...
The concept of an enabling ideal is introduced so that an ideal I is strongly lifting if and only if...
AbstractThe concept of an enabling ideal is introduced so that an ideal I is strongly lifting if and...
AbstractWe give a complete description of the Jacobson radical of semigroup rings R[S], where S is a...
Abstract. In this paper we explore the properties of being hereditary and being strong among the rad...
Throughout this note, A stands for a basic left and right artinian ring. J. its Jacobson radical and...
In this paper, we show that proposition 4.7 [8] is not correct in generaland give an adjustment for ...
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the ...
Abstract. A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J d...
Abstract. Let R be a ring satisfying a polynomial identity and let D be a derivation of R. We consid...
Abstract. The concept of the semiradical class of semirings was introduced in [3]. The purpose of th...
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
AbstractSeveral important classes of rings can be characterized in terms of liftings of idempotents ...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
AbstractIn 1977, Nicholson developed the theory of suitable rings (Trans. Amer. Math. Soc.229 (1977)...
AbstractIf I is an ideal of a ring R, we say that idempotents lift strongly modulo I if, whenever a2...
The concept of an enabling ideal is introduced so that an ideal I is strongly lifting if and only if...
AbstractThe concept of an enabling ideal is introduced so that an ideal I is strongly lifting if and...
AbstractWe give a complete description of the Jacobson radical of semigroup rings R[S], where S is a...
Abstract. In this paper we explore the properties of being hereditary and being strong among the rad...
Throughout this note, A stands for a basic left and right artinian ring. J. its Jacobson radical and...
In this paper, we show that proposition 4.7 [8] is not correct in generaland give an adjustment for ...
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the ...
Abstract. A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J d...
Abstract. Let R be a ring satisfying a polynomial identity and let D be a derivation of R. We consid...
Abstract. The concept of the semiradical class of semirings was introduced in [3]. The purpose of th...
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
AbstractSeveral important classes of rings can be characterized in terms of liftings of idempotents ...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...