Add to ORKGThe explicit description of the additive and multiplicative structures of rings of residues in maximal orders of number fields is useful both in theory and practice. This is the second and last part of a survey intended to offer a full description of those structures in the style of the theory of rings with identity as given by Bernard R. McDonald. The topic of this companion paper concerns the structure of quotient rings of maximal orders of algebraic number fields by powers of ramified prime ideals
AbstractLet DF denote the ring of integers in an algebraic number field F and LF a Galois extension....
Let M be a finitely generated module over a Noetherian ring R. We say that M is APF-represented if i...
AbstractLet K and K′ be number fields with L = K · K′ and F = K φ K′. Suppose that KF and K′F are no...
The explicit description of the additive and multiplicative structures of rings of residues in maxim...
Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an element...
ABSTRACT. Let LÛK be a finite Galois extension of local fields which are finite extensions of Qp, th...
AbstractThis work is concerned with the Galois module structure of the ring of integers in totally r...
One branch of number theory is ramification theory, which studies the behavior of primes in L/K, whe...
AbstractThis work is concerned with the Galois module structure of the ring of integers in totally r...
The problem on primitive roots modulo the powers of a prime ideal in a ring of algebraic integers is...
AbstractWe define ΛF(n, m) for all integers n, m and an algebraic number field F to be the least pos...
The problem on primitive roots modulo the powers of a prime ideal in a ring of algebraic integers is...
AbstractWe define ΛF(n, m) for all integers n, m and an algebraic number field F to be the least pos...
224 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1985.Let K be an algebraic number ...
224 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1985.Let K be an algebraic number ...
AbstractLet DF denote the ring of integers in an algebraic number field F and LF a Galois extension....
Let M be a finitely generated module over a Noetherian ring R. We say that M is APF-represented if i...
AbstractLet K and K′ be number fields with L = K · K′ and F = K φ K′. Suppose that KF and K′F are no...
The explicit description of the additive and multiplicative structures of rings of residues in maxim...
Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an element...
ABSTRACT. Let LÛK be a finite Galois extension of local fields which are finite extensions of Qp, th...
AbstractThis work is concerned with the Galois module structure of the ring of integers in totally r...
One branch of number theory is ramification theory, which studies the behavior of primes in L/K, whe...
AbstractThis work is concerned with the Galois module structure of the ring of integers in totally r...
The problem on primitive roots modulo the powers of a prime ideal in a ring of algebraic integers is...
AbstractWe define ΛF(n, m) for all integers n, m and an algebraic number field F to be the least pos...
The problem on primitive roots modulo the powers of a prime ideal in a ring of algebraic integers is...
AbstractWe define ΛF(n, m) for all integers n, m and an algebraic number field F to be the least pos...
224 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1985.Let K be an algebraic number ...
224 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1985.Let K be an algebraic number ...
AbstractLet DF denote the ring of integers in an algebraic number field F and LF a Galois extension....
Let M be a finitely generated module over a Noetherian ring R. We say that M is APF-represented if i...
AbstractLet K and K′ be number fields with L = K · K′ and F = K φ K′. Suppose that KF and K′F are no...