Subgroups of finite index in an additive group of a ring.
Subgroups of the basic subgroup in a modular group ring
Sur la décomposition en éléments primaires dans les T-algèbres
Sur le nombre de générateurs des idéaux à gauche d'une algèbre de Weyl
Sur les ordres d'Asano
Sylow P-Subgroups of Abelian Group Rings
2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34.Let PG be the abelian modular group ring of the abelian group G over the abelian ring P with 1 and prime char P = p. In the present article,the p-primary components Up(PG) and S(PG) of the groups of units U(PG) and V(PG) are classified for some major classes of abelian groups. Suppose K is a first kind field with respect to p in char K ≠ p and A is an abelian p-group. In the present work, the p-primary...
Symmetric bi-derivations on prime and semi-prime rings.
Symmetric units and group identities in group algebras. I.
Th normal decomposition of lattices and the Krull-Schmidt theorem.
The centre of completed group algebras of pro- groups.
The coefficient ring of the skew group ring
The isomorphic description of torsion units in commutative group rings over fields with positive characteristic.
The Jacobson radical of some endomorphism rings.
The p. p. ring and the Pierce sheaf representation of non-commutative rings
The resultant of non-commutative polynomials
The rings which are Boolean. II.
The special circulant matrix and units in group rings.
The structure of the unit group of the group algebra
The structure of the unit group of the group algebra of the group over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.
The unit group of .
The unit groups of semisimple group algebras of some non-metabelian groups of order
We consider all the non-metabelian groups of order that have exponent either or and deduce the unit group of semisimple group algebra . Here, denotes the power of a prime, i.e., for prime and a positive integer . Up to isomorphism, there are groups of order that have exponent either or . Additionally, we also discuss how to simply obtain the unit groups of the semisimple group algebras of those non-metabelian groups of order that are a direct product of two nontrivial...