ISOMORPHISM PROBLEM FOR ENDOMORPHISM NEAR-RINGS

The isomorphism problem for commutative monoid rings’

By substantial changes and corrections in Demushkin’s old paper the essentially final positive answer to the isomorphism problem for monoid rings of submonoids of Z’ is obtained. This means that the underlying monoid is shown to be determined (up to isomorphism) by the corresponding monoid ring. Thereafter the positive answer to the analogous question for the ‘dual’ objects descrete Hodge algeb...

Endomorphism Rings in Cryptography

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The isomorphism problem for monoid rings of rank 2 monoids *

The main result of this paper is that for a commutative ring R and finitely generated submonoids M and N of Z2 the monoid rings R [M] and R[N] are isomorphic as R algebras if and only if M and N are isomorphic. In the course of proof we derive various results concerning the structure of rank 2 monoids and isomorphisms between the corresponding monoid rings. 1991 Math. Subj. Class.: 13B25, 20M25...

Subgroup Isomorphism Problem for Units of Integral Group Rings

The Subgroup Isomorphism Problem for Integral Group Rings asks for which finite groups U it is true that if U is isomorphic to a subgroup of V(ZG), the group of normalized units of the integral group ring of the finite group G, it must be isomorphic to a subgroup of G. The smallest groups known not to satisfy this property are the counterexamples to the Isomorphism Problem constructed by M. Her...

Endomorphism rings of bimodules