# Two Papers: H-coextensions of Monoids; and the Structure of a Band of Groups (Memoirs of the American Mathematical Society) download ebook

## by **Jonathan Leech**

Memoirs of the American Mathematical Society 1975; 95 pp; MSC: Primary 20. .Author(s) (Product display): J. Leech. Book Series Name: Memoirs of the American Mathematical Society.

Memoirs of the American Mathematical Society 1975; 95 pp; MSC: Primary 20; Electronic ISBN: 978-1-4704-0543-4 Product Code: MEMO/2/157. Two Papers: (mathcal H)-Coextensions of Monoids; and The Structure of a Band of Groups. Go . current document Publication list for all documents. Publication Month and Year: 2013-03-17.

6 Jonathan Leech then C(u,x,v) uyv . v) Throughout much of this paper we shall be interested in functors from 3D(S) to gL and Afi "where GL is the category of groups and A& is the category of abelian groups. x) is always a normal sub- group of F(x), we say that F' is a normal subfunctor of F, denoted F' F. In this case we can form a quotient functor, F/FT, in the obvious manner, so that Ff, F - F/F1 is an exact sequence of functors. Duplication prohibited. Please report unauthorized use to [email protected]

k Jonathan Leech The Bo 1 part follows "b y the dual argument. By we denote the category of functors and natural transformations from 3D(S) to K. If F : B(S), K is such a functor, FT F]L(S) : ]L(S)+ K and F F3R(S): 3R(s)- K are also func- L K tors. Thank You! Your purchase supports the AMS' mission, programs, and services for the mathematical community.

2 Jonathan Leech H(Mon^) A paper on the structure of bands of groups forms the second part of this memoir.

2 Jonathan Leech H(Mon^). The fourth chapter is devoted to discussing split coextensions of S. In the final chapter we discuss abelian coextensions of S, . H-coextensions of S where the Schutzenberger groups of S are coextended by abelian groups, and we also show the relationships between abelian coextensions and the lower ID(S)-cohomology functors. A paper on the structure of bands of groups forms the second part of this memoir.

PREFACE This memoir consists of two papers, both of.Purchased from American Mathematical Society for the exclusive use o.

the tf-coextension problem. In the first place a band of groups is a special case of a union of groups, the structure of which has been of interest. Previous Page Next Page.

Publisher: American Mathematical Society. Journal description Each issue contains either a single monograph or a group of related papers. The 2005 subscription consists of six mailings, each typically containing four or more numbers. Each issue contains either a single monograph or a group of related papers.

Eta-Coextensions of Monoids & the Structure of a Band of Groups (Memoirs of the American Mathematical Society; No. 157)

Eta-Coextensions of Monoids & the Structure of a Band of Groups (Memoirs of the American Mathematical Society; No. 157). by Jonathan Leech, J. Published December 1975 by American Mathematical Society.

H-coextensions of monoids and the structure of a band of groups

H-coextensions of monoids and the structure of a band of groups. Published 1975 by American Mathematical Society in Providence, . Group extensions (Mathematics), Monoids, Semigroups, General, Mathematics. Memoirs of the American Mathematical Society ; no. 157, Memoirs of the American Mathematical Society - no. 157. Other Titles. H-coextensions of monoids. The structure of a band of groups. vii, 95 p. : Number of pages.

Published December 1st 1975 by American Mathematical Society(RI).

Start by marking Two Papers: Eta-Coextensions of Monoids & the Structure of a Band of Groups as Want to Read: Want to Read savin. ant to Read. Published December 1st 1975 by American Mathematical Society(RI).

The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional . Two papers: H-coextensions of monoids and the structure of a band of groups.

The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional k theory of non-abelian factor sets for their classification. In particular, we state and prove precise classification theorems for those monoidal groupoids whose isotropy groups are all abelian, as well as for their homomorphisms, by means of Leech’s cohomology groups of monoids. Higher cohomologies of modules.