Endomorphisms of relatively free algebras with weak exchange properties

V. Gould; J. Fountain

doi:10.1007/s00012-004-1861-5

Endomorphisms of relatively free algebras with weak exchange properties

V. Gould, J. Fountain

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The structure of the endomorphism monoid of a stable basis algebra A is described. It is shown to be an abundant monoid; the subsemigroup of endomorphisms of finite rank has a regular semigroup of left quotients.

Original language	English
Pages (from-to)	257-285
Number of pages	28
Journal	Algebra Universalis
Volume	51
Issue number	2-3
DOIs	https://doi.org/10.1007/s00012-004-1861-5
Publication status	Published - Aug 2004

Keywords

basis
exchange property
endomorphism monoid
abundant
order
quotients
INDEPENDENCE ALGEBRAS
ABUNDANT SEMIGROUPS
LEFT QUOTIENTS
PRODUCTS
MATRICES
ORDERS
RINGS

Access to Document

10.1007/s00012-004-1861-5

http://dx.doi.org/10.1007/s00012-004-1861-5

Cite this

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title = "Endomorphisms of relatively free algebras with weak exchange properties",

abstract = "The structure of the endomorphism monoid of a stable basis algebra A is described. It is shown to be an abundant monoid; the subsemigroup of endomorphisms of finite rank has a regular semigroup of left quotients.",

keywords = "basis, exchange property, endomorphism monoid, abundant, order, quotients, INDEPENDENCE ALGEBRAS, ABUNDANT SEMIGROUPS, LEFT QUOTIENTS, PRODUCTS, MATRICES, ORDERS, RINGS",

author = "V. Gould and J. Fountain",

year = "2004",

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doi = "10.1007/s00012-004-1861-5",

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journal = "Algebra Universalis",

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AU - Fountain, J.

PY - 2004/8

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KW - basis

KW - exchange property

KW - endomorphism monoid

KW - abundant

KW - order

KW - quotients

KW - INDEPENDENCE ALGEBRAS

KW - ABUNDANT SEMIGROUPS

KW - LEFT QUOTIENTS

KW - PRODUCTS

KW - MATRICES

KW - ORDERS

KW - RINGS

U2 - 10.1007/s00012-004-1861-5

DO - 10.1007/s00012-004-1861-5

M3 - Article

SN - 1420-8911

VL - 51

SP - 257

EP - 285

JO - Algebra Universalis

JF - Algebra Universalis

IS - 2-3

ER -