منابع مشابه
Maximal Orders in Semigroups1
Inspired by the ring theory concepts of orders and classical rings of quotients, Fountain and Petrich introduced the notion of a completely 0-simple semigroup of quotients in [19]. This was generalised to a much wider class of semigroups by Gould in [20]. The notion extends the well known concept of group of quotients [8]. To give the definition we first have to explain what is meant by a squar...
متن کاملNoetherian semigroup algebras and prime maximal orders
Let S be a semigroup and K be a field. A K-space K[S], with basis S and with multiplication extending, in a natural way, the operation on S, is called a semigroup algebra. It remains an open problem to characterize semigroup algebras that are a prime Noetherian maximal order. In this thesis, we give an answer to the problem for a large class of cancellative semigroups and we illustrate these re...
متن کاملMaximal Independent Sets in Certain Subword Orders
The free monoid, or the set of words on an alphabet, can be made into a poset (patially ordered set) by different kind of orders, one example in view is the lexicographic arrangement of words in a dictionary. One can also order the words by their length: the shorter words precede the longer ones in this order. The structure of an odered set is usually determined by its chains in the one hand an...
متن کاملPolynomial Path Orders: A Maximal Model
This paper is concerned with the automated complexity analysis of term rewrite systems (TRSs for short) and the ramification of these in implicit computational complexity theory (ICC for short). We introduce a novel path order with multiset status, the polynomial path order >pop∗. Essentially relying on the principle of predicative recursion as proposed by Bellantoni and Cook, its distinct feat...
متن کاملMaximal Orders In Completely 0-simple Semigroups
Fountain, Gould and Smith introduced the concept of equivalence of orders in a semigroup and the notion of a maximal order. We examine these ideas in the context of orders in completely 0-simple semigroups with particular emphasis on abundant orders.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1960
ISSN: 0002-9947
DOI: 10.2307/1993361