Collapsing spheres satisfying an “Euclidean condition”

Noncommutative jordan algebras with commutators satisfying an alternativity condition.

The theorems of this paper show that the main results in the structure and representation theory of Jordan algebras and of alternative algebras are valid for a larger class of algebras defined by simple identities which obviously hold in the Jordan and alternative cass. A new unification of the Jordan and associative theories is also achieved.

Group connectivity of graphs satisfying Ore-condition

In this paper, we show that a simple graph G satisfying Ore-condition with |V (G)| ≥ 3 is A-connected if and only if G is not a 4-cycle, where A is an abelian group of order at least 4.

On ℤ4 codes satisfying the chain condition

On Regular Rings Satisfying Weak Chain Condition

In this paper, we shall study regular rings satisfying weak chain condition. As main results, we show that regular rings satisfying weak chain condition are unit-regular, and show that these rings have the unperforation and power cancellation properties for the family of finitely generated projective modules.

Twisted Configurations over Quantum Euclidean Spheres

We show that the relations which define the algebras of the quantum Euclidean planes Rq can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres SN−1 q . The projections e = e 2 = e are elements in Mat 2n(S N−1 q ), with N = 2n+1 or N = 2n, and...