Add to ORKG∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91.Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then KH ∼= KG as K-algebras for all fields K and some group H if and only if H ∼= G
summary:Suppose $G$ is a $p$-mixed splitting abelian group and $R$ is a commutative unitary ring of ...
AbstractFor any finite group G, let Ω(G) denote the Burnside ring of G. Let A denote the class of fi...
summary:Suppose $G$ is a $p$-mixed splitting abelian group and $R$ is a commutative unitary ring of ...
Abstract. Let K be a field of characteristic p> 0 and let G be a direct sum of cyclic groups, suc...
2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34....
summary:A new class of abelian $p$-groups with all high subgroups isomorphic is defined. Commutative...
In this paper we give the first investigations and also some basic results on the unit groups of com...
The isomorphism problem of arbitrary algebraic structures plays always a central role in the study o...
Let F be a field of char(F) = p > 0 and G an abelian group with p-component Gp of cardinality at...
Let F be a field of char(F) = p > 0 and G an abelian group with p-component Gp of cardinality at...
Let R be a commutative ring with identity and let G and H be abelian groups with the group algebras ...
summary:Let $S(RG)$ be a normed Sylow $p$-subgroup in a group ring $RG$ of an abelian group $G$ with...
summary:Let $S(RG)$ be a normed Sylow $p$-subgroup in a group ring $RG$ of an abelian group $G$ with...
AbstractLetGbe an abelianp-group, letKbe a field of characteristic different fromp, and letKGbe the ...
AbstractLet K[G] be a prime group algebra with G a polycyclic-by-finite group. In this paper we prov...
summary:Suppose $G$ is a $p$-mixed splitting abelian group and $R$ is a commutative unitary ring of ...
AbstractFor any finite group G, let Ω(G) denote the Burnside ring of G. Let A denote the class of fi...
summary:Suppose $G$ is a $p$-mixed splitting abelian group and $R$ is a commutative unitary ring of ...
Abstract. Let K be a field of characteristic p> 0 and let G be a direct sum of cyclic groups, suc...
2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34....
summary:A new class of abelian $p$-groups with all high subgroups isomorphic is defined. Commutative...
In this paper we give the first investigations and also some basic results on the unit groups of com...
The isomorphism problem of arbitrary algebraic structures plays always a central role in the study o...
Let F be a field of char(F) = p > 0 and G an abelian group with p-component Gp of cardinality at...
Let F be a field of char(F) = p > 0 and G an abelian group with p-component Gp of cardinality at...
Let R be a commutative ring with identity and let G and H be abelian groups with the group algebras ...
summary:Let $S(RG)$ be a normed Sylow $p$-subgroup in a group ring $RG$ of an abelian group $G$ with...
summary:Let $S(RG)$ be a normed Sylow $p$-subgroup in a group ring $RG$ of an abelian group $G$ with...
AbstractLetGbe an abelianp-group, letKbe a field of characteristic different fromp, and letKGbe the ...
AbstractLet K[G] be a prime group algebra with G a polycyclic-by-finite group. In this paper we prov...
summary:Suppose $G$ is a $p$-mixed splitting abelian group and $R$ is a commutative unitary ring of ...
AbstractFor any finite group G, let Ω(G) denote the Burnside ring of G. Let A denote the class of fi...
summary:Suppose $G$ is a $p$-mixed splitting abelian group and $R$ is a commutative unitary ring of ...