Add to ORKGfield. Every non-zero non-unit a ∈ R has a factorization into irreducible elements of R. In general, there are several distinct factorizations. In the qualitative theory of non-unique factorizations one tries to describe the non-uniqueness of factorizations by various arithmetical invariants. A mai
We study Dedekind domains, where ideals factorize uniquely into a product ofprime ideals. This subje...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Cashwell and Everett have shown that, in the ring C [[x1, x2, ...]] of formal power series in a coun...
a factorization into a product of irreducible elements. In general, such a factorization need not be...
aspects of non-unique factorizations by Franz Halter-Koch (Graz) Introduction. LetK be an algebraic ...
Dedicated to Franz Halter-Koch on the occasion of his 70th birthday. Abstract We survey results on f...
Abstract. We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducible...
From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as ...
Let K be an algebraic number field with non-trivial class group G and let OK be its ring of integers...
AbstractIn this paper we generalize the standard notion of unique factorization domains to the nonat...
Die Hauptordnung $mathcal O_K$ in einem algebraischen Zahlkörper ist ein Dedekindbereich und ihre Ar...
Abstract. Let K be a field of characteristic zero and let K((R≤0)) denote the ring of generalized po...
The fundamental theorem of arithmetic says that any integer greater than 2 can be written uniquely a...
AbstractLet R be an integral domain. In this paper, we introduce a sequence of factorization propert...
Abstract. It often happens that elements of a ring or semigroup H can be written as finite products ...
We study Dedekind domains, where ideals factorize uniquely into a product ofprime ideals. This subje...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Cashwell and Everett have shown that, in the ring C [[x1, x2, ...]] of formal power series in a coun...
a factorization into a product of irreducible elements. In general, such a factorization need not be...
aspects of non-unique factorizations by Franz Halter-Koch (Graz) Introduction. LetK be an algebraic ...
Dedicated to Franz Halter-Koch on the occasion of his 70th birthday. Abstract We survey results on f...
Abstract. We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducible...
From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as ...
Let K be an algebraic number field with non-trivial class group G and let OK be its ring of integers...
AbstractIn this paper we generalize the standard notion of unique factorization domains to the nonat...
Die Hauptordnung $mathcal O_K$ in einem algebraischen Zahlkörper ist ein Dedekindbereich und ihre Ar...
Abstract. Let K be a field of characteristic zero and let K((R≤0)) denote the ring of generalized po...
The fundamental theorem of arithmetic says that any integer greater than 2 can be written uniquely a...
AbstractLet R be an integral domain. In this paper, we introduce a sequence of factorization propert...
Abstract. It often happens that elements of a ring or semigroup H can be written as finite products ...
We study Dedekind domains, where ideals factorize uniquely into a product ofprime ideals. This subje...
Abstract. In this paper we generalize the standard notion of “unique fac-torization domains ” (UFDs)...
Cashwell and Everett have shown that, in the ring C [[x1, x2, ...]] of formal power series in a coun...