Note sur la méthode d'élimination de Bezout
Notes on commutative parasemifields
Parasemifields (i.e., commutative semirings whose multiplicative semigroups are groups) are considered in more detail. We show that if a parasemifield contains as a subparasemifield and is generated by , , as a semiring, then is (as a semiring) not finitely generated.
Notes on Galois extensions with inner Galois groups.
Notes on generalized prime and coprime modules. I.
Notes on generalized prime and coprime modules. II.
Notes on generalized –derivation
Notes on purities
Notes on radical filters of ideals
Notes on slender prime rings
If is a prime ring such that is not completely reducible and the additive group is not complete, then is slender.
Notes on Whitehead space of an algebra.
Notes on -derivations.
Numérateurs et dénominateurs dans le corps de fractions d'un semifir
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.