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
In this dissertation we deal with constructive methods applied to the commutative semirings and comm...
AbstractUntil very recently, the only known ideal-hereditary radicals in the variety of o-symmetric ...
A corner of a ring A is a subring eAe, where e is an idempotent. Radical and semi-simple classes whi...
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...
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
A radical class R of rings is elementary if it contains precisely those rings whose singly generated...
Let \(\alpha\) be any radical of associative rings. A radical \(\gamma\) is called \(\alpha\)-like i...
A radical Ï is called prime-like if for every prime ring A, the polynomial ring A[x] is Ï-semisimple...
"This research aims to refresh and reinterpret the radical theory of associative rings using the bas...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
The basic theme of the thesis is the development of a theory of radicals in a categorical setting. G...
We study prime rings which generate supernilpotent (respectively special) atoms, that is, atoms of t...
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
AbstractThis paper contains a number of observations on the semisimplicity problem for group rings w...
In this dissertation we deal with constructive methods applied to the commutative semirings and comm...
AbstractUntil very recently, the only known ideal-hereditary radicals in the variety of o-symmetric ...
A corner of a ring A is a subring eAe, where e is an idempotent. Radical and semi-simple classes whi...
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...
AbstractGeneralizing various concrete radicals in associative rings like the nilradical, the Jacobso...
A radical class R of rings is elementary if it contains precisely those rings whose singly generated...
Let \(\alpha\) be any radical of associative rings. A radical \(\gamma\) is called \(\alpha\)-like i...
A radical Ï is called prime-like if for every prime ring A, the polynomial ring A[x] is Ï-semisimple...
"This research aims to refresh and reinterpret the radical theory of associative rings using the bas...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
The basic theme of the thesis is the development of a theory of radicals in a categorical setting. G...
We study prime rings which generate supernilpotent (respectively special) atoms, that is, atoms of t...
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
AbstractThis paper contains a number of observations on the semisimplicity problem for group rings w...
In this dissertation we deal with constructive methods applied to the commutative semirings and comm...
AbstractUntil very recently, the only known ideal-hereditary radicals in the variety of o-symmetric ...
A corner of a ring A is a subring eAe, where e is an idempotent. Radical and semi-simple classes whi...
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