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...
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In this paper we give some experimental results on the multiplicative orders of optimal normal basis generators in F2n over F2 for n < 1200 whenever the complete factorization of 2" 1 is known. Our results show that a subclass of optimal normal basis generators always have high multiplicative orders, at least 0((2" \)/n), and are very often primitive. For a given optimal normal basis generator ...
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In this paper we address the problem of computing the expected size of the different maximal layers of a random partial order. That is, given a point set P = {p1, ..., pn} with pi ∈ [0, 1] picked uniformly at random, we try to determine the expected size of successive maximal layers of P . We present an enumerative expression for this quantity when k = 2 and study its behavior for higher dimens...
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ON MAXIMAL LAYERS OF RANDOM ORDERS Indranil Banerjee George Mason University, 2015 Thesis Director: Dr. Dana Richards In this thesis we investigate the maximal layers of random partial orders. Main contributions are two-fold. In the first half we investigate the expected size of different maximal layers of a random partial order. In particular when the points are in a plane, we give an enumerat...
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Let G be a finite group that acts on an abelian monoid A. If φ : A → G is a map so that φ(aφ(a)(b)) = φ(a)φ(b), for all a, b ∈ A, then the submonoid S = {(a, φ(a)) | a ∈ A} of the associated semidirect product A⋊G is said to be a monoid of IG-type. If A is a finitely generated free abelian monoid of rank n and G is a subgroup of the symmetric group Sym n of degree n, then these monoids first ap...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.11.020