O automorfismech definovaných na okruhu endomorfismů homogenního totálně rozložitelného modulu
Obaly a pokrytí v teorii modulů
Objets Kar-initiaux
Odd H-depth and H-separable extensions
Let C n(A,B) be the relative Hochschild bar resolution groups of a subring B ⊆ A. The subring pair has right depth 2n if C n+1(A,B) is isomorphic to a direct summand of a multiple of C n(A,B) as A-B-bimodules; depth 2n + 1 if the same condition holds only as B-B-bimodules. It is then natural to ask what is defined if this same condition should hold as A-A-bimodules, the so-called H-depth 2n − 1 condition. In particular, the H-depth 1 condition coincides with A being an H-separable extension of B....
Ojective ideals in modular lattices
The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice. It is...
On 0-simple semirings, semigroup semirings and two kinds of division semirings.
On 14-dimensional quadratic forms in , 8-dimensional forms in , and the common value property.
On ℤ/2ℤ-extensions of pointed fusion categories
We give a classification of ℤ/2ℤ-graded fusion categories whose 0-component is a pointed fusion category. A number of concrete examples are considered.
On a certain functional identity in prime rings. II.
On a certain identitiy satisfied by a derivation and an arbitrary additive mapping. (Summary).
On a certain identity satisfied by a derivation and an arbitrary additive mapping II.
On a certain identity satisfied by a derivation and an arbitrary additive mapping.
On a characterization of Azumaya algebras.
A direct proof of Braun's characterization of Azumaya algebras is given.
On a class of free Galois extensions.
On a class of near-rings sum of near-fields
On a class of semigroups admitting ring structure.
On a class of strongly quasi injective modules
On a class of tame symmetric algebras having only periodic modules
On a Class with Rings with Inverse Weak Algorithm.
On a conjecture of Vukman.