AbstractWe obtained an explicit description of complemented radicals in the lattice of all radicals. As an application we obtained an explicit description of radicals whose essential cover is a semisimple class. Finally, we obtained a description of radicals α such that every finitely generated α-semisimple ring is a direct sum of simple rings
An algebraic system which satisfies all the ring axioms with the possible exceptions of commutativit...
In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and...
The notion of n-polynomial equation ring, for an arbitrary but fixed positive integer n, i...
AbstractWe obtained an explicit description of complemented radicals in the lattice of all radicals....
Working in the class of associative rings, we introduce a construction which determines a semisimple...
Let \(\alpha\) be any radical of associative rings. A radical \(\gamma\) is called \(\alpha\)-like i...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
"This research aims to refresh and reinterpret the radical theory of associative rings using the bas...
A corner of a ring A is a subring eAe, where e is an idempotent. Radical and semi-simple classes whi...
A radical Ï is called prime-like if for every prime ring A, the polynomial ring A[x] is Ï-semisimple...
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
This research is essentially an investigation into lower radical type construction and the consequen...
In this dissertation we deal with constructive methods applied to the commutative semirings and comm...
A radical class R of rings is elementary if it contains precisely those rings whose singly generated...
We examine the relationship between the radical of a ring and the radical of the associated splittin...
An algebraic system which satisfies all the ring axioms with the possible exceptions of commutativit...
In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and...
The notion of n-polynomial equation ring, for an arbitrary but fixed positive integer n, i...
AbstractWe obtained an explicit description of complemented radicals in the lattice of all radicals....
Working in the class of associative rings, we introduce a construction which determines a semisimple...
Let \(\alpha\) be any radical of associative rings. A radical \(\gamma\) is called \(\alpha\)-like i...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
"This research aims to refresh and reinterpret the radical theory of associative rings using the bas...
A corner of a ring A is a subring eAe, where e is an idempotent. Radical and semi-simple classes whi...
A radical Ï is called prime-like if for every prime ring A, the polynomial ring A[x] is Ï-semisimple...
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
This research is essentially an investigation into lower radical type construction and the consequen...
In this dissertation we deal with constructive methods applied to the commutative semirings and comm...
A radical class R of rings is elementary if it contains precisely those rings whose singly generated...
We examine the relationship between the radical of a ring and the radical of the associated splittin...
An algebraic system which satisfies all the ring axioms with the possible exceptions of commutativit...
In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and...
The notion of n-polynomial equation ring, for an arbitrary but fixed positive integer n, i...
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