AbstractA finite Abelian group G is partitioned into subsets which are translations of each other. A binary operation is defined on these sets in a way which generalizes the quotient group operation. Every finite Abelian group can be realized as such a generalized quotient with G cyclic
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
G. Hajós proved that if a unite abelian group is a direct product of its cyclic subsets, then at lea...
AbstractIn studying the effect of an order on non-associative systems such as loops or quasigroups, ...
AbstractA finite Abelian group G is partitioned into subsets which are translations of each other. A...
summary:If $Q$ is a quasigroup that is free in the class of all quasigroups which are isotopic to a...
summary:If $Q$ is a quasigroup that is free in the class of all quasigroups which are isotopic to a...
AbstractIf G is any finite Abelian group defineγ(G)=∑i(ei−1)where ei are the canonic invariants of G...
AbstractIn this paper, we prove that if A and B are subsets of a finite abelian group G with |A|+|B|...
Let B be a proper subset of a finite group G such that either B = B−1 or G is abelian. We prove that...
Let $X$ be a nonempty set. Denote by $\mathcal{F}^n_k$ the class of associative operations $F\colon ...
A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most ...
Let G be a finite abelian p-group of type λ. It is well-known that the lattice L(p) of subgroups of ...
Let G be a finite abelian p-group of type λ. It is well-known that the lattice L(p) of subgroups of ...
AbstractWe establish several addition theorems on finite abelian groups by employing a group ring as...
AbstractThe problem of classifying pairs consisting of a finite Abelian group and a subgroup leads t...
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
G. Hajós proved that if a unite abelian group is a direct product of its cyclic subsets, then at lea...
AbstractIn studying the effect of an order on non-associative systems such as loops or quasigroups, ...
AbstractA finite Abelian group G is partitioned into subsets which are translations of each other. A...
summary:If $Q$ is a quasigroup that is free in the class of all quasigroups which are isotopic to a...
summary:If $Q$ is a quasigroup that is free in the class of all quasigroups which are isotopic to a...
AbstractIf G is any finite Abelian group defineγ(G)=∑i(ei−1)where ei are the canonic invariants of G...
AbstractIn this paper, we prove that if A and B are subsets of a finite abelian group G with |A|+|B|...
Let B be a proper subset of a finite group G such that either B = B−1 or G is abelian. We prove that...
Let $X$ be a nonempty set. Denote by $\mathcal{F}^n_k$ the class of associative operations $F\colon ...
A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most ...
Let G be a finite abelian p-group of type λ. It is well-known that the lattice L(p) of subgroups of ...
Let G be a finite abelian p-group of type λ. It is well-known that the lattice L(p) of subgroups of ...
AbstractWe establish several addition theorems on finite abelian groups by employing a group ring as...
AbstractThe problem of classifying pairs consisting of a finite Abelian group and a subgroup leads t...
AbstractIn this paper we investigate the set of all sums over subsequences of a sequence a1,…, as of...
G. Hajós proved that if a unite abelian group is a direct product of its cyclic subsets, then at lea...
AbstractIn studying the effect of an order on non-associative systems such as loops or quasigroups, ...
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