This thesis obtains information about Boolean algebras by means of the radical concept. One group of results revolves about the concept, theorems, and constructions of general radical theory. We obtain some subdirect product representations by methods suggested by the theory. A large number of specific radicals are defined, and their properties and inter-relationships are examined. This provides a natural frame-work for results describing what epimorphs an algebra can have. Some new results of this nature are obtained in the process. Finally, a contribution is made to the structure theory of complete Boolean algebras. Product decomposition theorems are obtained, some of which make use of chains of radical classes.Science, Faculty ofMathemat...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
For a Kurosh–Amitsur radical class of rings, we investigate the existence, for a radical subring S o...
Denoting by |B| the cardinality of a Boolean algebra B and by S(B) the least cardinal k such that ev...
We initiate the radical theory of algebras with B-action where B is a fixed Boolean ring. We conside...
The basic theme of the thesis is the development of a theory of radicals in a categorical setting. G...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
"This research aims to refresh and reinterpret the radical theory of associative rings using the bas...
summary:Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak...
It is shown that the topologically irreducible representations of a normed algebra define a certain ...
We define the notion of radical in BCH-algebra and investigate the structure of [X;k], a viewpoint o...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
It is shown that the Boolean center of complemented elements in a bounded in-tegral residuated latti...
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...
Working in the class of associative rings, we introduce a construction which determines a semisimple...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
For a Kurosh–Amitsur radical class of rings, we investigate the existence, for a radical subring S o...
Denoting by |B| the cardinality of a Boolean algebra B and by S(B) the least cardinal k such that ev...
We initiate the radical theory of algebras with B-action where B is a fixed Boolean ring. We conside...
The basic theme of the thesis is the development of a theory of radicals in a categorical setting. G...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
"This research aims to refresh and reinterpret the radical theory of associative rings using the bas...
summary:Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak...
It is shown that the topologically irreducible representations of a normed algebra define a certain ...
We define the notion of radical in BCH-algebra and investigate the structure of [X;k], a viewpoint o...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
It is shown that the Boolean center of complemented elements in a bounded in-tegral residuated latti...
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...
Working in the class of associative rings, we introduce a construction which determines a semisimple...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
For a Kurosh–Amitsur radical class of rings, we investigate the existence, for a radical subring S o...
Denoting by |B| the cardinality of a Boolean algebra B and by S(B) the least cardinal k such that ev...