Higher order derivations of modules
Homogeneous Universal Modules.
Homological dimensions and approximate contractibility for Köthe algebras
We give a survey of our recent results on homological properties of Köthe algebras, with an emphasis on biprojectivity, biflatness, and homological dimension. Some new results on the approximate contractibility of Köthe algebras are also presented.
Homological Methods Applied to the Derived Series of Groups
Honest submodules
Lattices of submodules of modules and the operators we can define on these lattices are useful tools in the study of rings and modules and their properties. Here we shall consider some submodule operators defined by sets of left ideals. First we focus our attention on the relationship between properties of a set of ideals and properties of a submodule operator it defines. Our second goal will be to apply these results to the study of the structure of certain classes of rings and modules. In particular...
Hopfian and co-Hopfian objects.
The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category Top. For any compact Hausdorff space...
Hyperdéterminant d’un -homomorphisme
Etant donnés () des -modules non triviaux de dimensions respectives (avec ) et un -homomorphisme, nous montrons que l’hyperdéterminant de est nul sauf si les modules sont irréductibles et si l’homomorphisme est la multiplication des polynômes homogènes à deux variables.
Idéal complètement premier d'un anneau noethérien à gauche intègre
Ideal theory in the ternary semiring .
Ideals and hereditary subalgebras in operator algebras
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach-algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (or HSA's, which are in some sense a generalization of ideals). Second, we study properties of operator algebras which are hereditary subalgebras in their bidual, or equivalently which...
Ideals in the semiring N
Ideal-simple semirings. I.
Ideal-simple semirings. II.
Ideal-simple semirings. III.
Idealtheorie für eine Klasse noetherscher Ringe.
Idéaux bilatères des algèbres enveloppantes
Ikeda-Nakayama modules.
Indecomposables Over Representation-Finite Algebras Are Extensions of an Indecomposable and a Simple.
Inertial law of symplectic forms on modules over plural algebra
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved.
Infinite-dimensional bicomplex Hilbert spaces.