Add to ORKGThe extraction degree measures commonality of factorization between any two elements in a commutative, cancellative monoid. Additional properties of the extraction degree are developed for monoids possessing a Cale basis. For block monoids, the complete set of extraction degrees is calculated between any two elements, between any two irreducible elements, and between any irreducible element and any general element. Key Words: Cale monoid, extraction degree, Krull monoid, block monoid, min-imal zero sequenc
Let H be a Krull monoid with infinite cyclic class group G and let GPcG denote the set of classes co...
AbstractWe investigate two classes of monoids and integral domains, called inside and outside factor...
In this paper, we study various factorization invariants of arithmetical congruence monoids. The inv...
Abstract. The catenary degree of an element s of a cancellative commutative monoid S is a nonnegativ...
Let H be a Krull monoid with finite class group G such that every class contains a prime divisor (fo...
Abstract. Let H be a Krull monoid with finite class group G such that every class contains a prime d...
summary:Let $M$ be a (commutative cancellative) monoid. A nonunit element $q\in M$ is called almost ...
http://deepblue.lib.umich.edu/bitstream/2027.42/5079/5/bac2693.0001.001.pdfhttp://deepblue.lib.umich...
This thesis treats combinatorial and topological properties of monoids with absorbing elements and t...
AbstractLet S be a reduced commutative cancellative atomic monoid. If s is a nonzero element of S, t...
Abstract. The Huneke-Wiegand conjecture has prompted much recent research in Commutative Algebra. In...
Abstract. Arithmetical invariants—such as sets of lengths, cate-nary and tame degrees—describe the n...
The catenary degree is an invariant that measures the distance between factorizations of elements wi...
These are sketchy lecture notes intended to show that the concepts of divisibility, prime elements a...
AbstractLet H be a Krull monoid with infinite cyclic class group G and let GP⊂G denote the set of cl...
Let H be a Krull monoid with infinite cyclic class group G and let GPcG denote the set of classes co...
AbstractWe investigate two classes of monoids and integral domains, called inside and outside factor...
In this paper, we study various factorization invariants of arithmetical congruence monoids. The inv...
Abstract. The catenary degree of an element s of a cancellative commutative monoid S is a nonnegativ...
Let H be a Krull monoid with finite class group G such that every class contains a prime divisor (fo...
Abstract. Let H be a Krull monoid with finite class group G such that every class contains a prime d...
summary:Let $M$ be a (commutative cancellative) monoid. A nonunit element $q\in M$ is called almost ...
http://deepblue.lib.umich.edu/bitstream/2027.42/5079/5/bac2693.0001.001.pdfhttp://deepblue.lib.umich...
This thesis treats combinatorial and topological properties of monoids with absorbing elements and t...
AbstractLet S be a reduced commutative cancellative atomic monoid. If s is a nonzero element of S, t...
Abstract. The Huneke-Wiegand conjecture has prompted much recent research in Commutative Algebra. In...
Abstract. Arithmetical invariants—such as sets of lengths, cate-nary and tame degrees—describe the n...
The catenary degree is an invariant that measures the distance between factorizations of elements wi...
These are sketchy lecture notes intended to show that the concepts of divisibility, prime elements a...
AbstractLet H be a Krull monoid with infinite cyclic class group G and let GP⊂G denote the set of cl...
Let H be a Krull monoid with infinite cyclic class group G and let GPcG denote the set of classes co...
AbstractWe investigate two classes of monoids and integral domains, called inside and outside factor...
In this paper, we study various factorization invariants of arithmetical congruence monoids. The inv...