منابع مشابه
Combinatorial vs. Algebraic Characterizations of Completely Pseudo-Regular Codes
Given a simple connected graph Γ and a subset of its vertices C, the pseudodistance-regularity around C generalizes, for not necessarily regular graphs, the notion of completely regular code. We then say that C is a completely pseudoregular code. Up to now, most of the characterizations of pseudo-distance-regularity has been derived from a combinatorial definition. In this paper we propose an a...
متن کاملCharacterizing completely regular codes from an algebraic viewpoint
The class of completely regular codes includes not only some of the most important error-correcting codes, such as perfect codes and uniformly packed codes, but also a number of substructures fundamental to the study of distance-regular graphs themselves. In a companion paper, we study products of completely regular codes and codes whose parameters form arithmetic progressions. This family of c...
متن کاملAlgebraic Monoids and Group Embeddings
We study the geometry of algebraic monoids. We prove that the group of invertible elements of an irreducible algebraic monoid is an algebraic group, open in the monoid. Moreover, if this group is reductive, then the monoid is affine. We then give a combinatorial classification of reductive monoids by means of the theory of spherical varieties.
متن کاملArithmetic completely regular codes
In this paper, we explore completely regular codes in the Hamming graphs and related graphs. Experimental evidence suggests that many completely regular codes have the property that the eigenvalues of the code are in arithmetic progression. In order to better understand these “arithmetic completely regular codes”, we focus on cartesian products of completely regular codes and products of their ...
متن کاملOmpactification of Completely Regular Frames based on their Cozero Part
Let L be a frame. We denoted the set of all regular ideals of cozL by rId(cozL) . The aim of this paper is to study these ideals. For a frame L , we show that rId(cozL) is a compact completely regular frame and the map jc : rId(cozL)→L given by jc (I)=⋁I is a compactification of L which is isomorphism to its Stone–Čech compactification and is proved that jc have a right adjoint rc : L →...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1989
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90099-6