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Notes on Distributive Groupoids

✍ Scribed by Tomáš Kepka; Petr Nêmec

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
489 KB
Volume
87
Category
Article
ISSN
0025-584X

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✦ Synopsis

The theory of distributive groupoids and quasigroups seems to be one of those rare cmes of non-associative theories which admit interesting and deep structural results. The complete list of articles on this subject contains relatively many items (an incomplete one is included in the bibliography of this paper). In this paper, the connection between distributivity and medialitg is investigated and, further, several results concerning subdirectly irreducible distributive groupoids are proved.

📜 SIMILAR VOLUMES

A Note on Free Topological Groupoids
A Note on Free Topological Groupoids
✍ J. P. L. Hardy; Sidney A. Morris 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB

## Introduction. In [ll] MARKOV introduced the concept of a free topological group F(X) on a topological space X and showed that, if X is any completely regular HAUSDORFF space, then F ( X ) exists, is HAUSDORFF, and the canonical (1964).

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✍ A.V. Kelarev 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 477 KB
A Note on the Linnik Distributions
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✍ Gwo Dong Lin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 108 KB

We prove that Linnik distributions are geometrically infinitely divisible, and clarify a characterization theorem for Linnik distributions concerning the stability of geometric summation. An explicit expression for absolute moments of Linnik distributions is also given.

On right residuals in lattice ordered gr
On right residuals in lattice ordered groupoids
✍ Ferenc A. Szász 📂 Article 📅 1972 🏛 John Wiley and Sons 🌐 English ⚖ 381 KB

By FERENC A. Sziisz of Budapest To Professor LBSZL~ KALW~R on his 65t" birthday (Eingegangen am I S . 3. 1971) Following G. BIRKHOFF [2] and I,. FUCHS [3, p. 1911 a lattice ordered groupoid, or shortly a 1. 0. groupoid, is defined as a groupoid G, which is a t the same time also a lattice, satisfyi