gap-pkg-circle - Adjoint groups of finite rings

Property Value
Distribution Fedora 31
Repository Fedora Updates x86_64 Official
Package filename gap-pkg-circle-1.6.1-1.fc31.noarch.rpm
Package name gap-pkg-circle
Package version 1.6.1
Package release 1.fc31
Package architecture noarch
Package type rpm
License GPLv2+
Maintainer -
Download size 24.83 KB
Installed size 57.27 KB
Let R be an associative ring, not necessarily with a unit element.  The
set of all elements of R forms a monoid with the neutral element 0 from
R under the operation r*s = r + s + rs defined for all r,s from R.  This
operation is called 'circle multiplication'; it is also known as 'star
multiplication'.  The monoid of elements of R under circle
multiplication is called the adjoint semigroup of R.  The group of all
invertible elements of this monoid is called the adjoint group of R.
These notions naturally lead to a number of questions about the
connection between a ring and its adjoint group, for example, how the
ring properties will determine properties of the adjoint group; which
groups can appear as adjoint groups of rings; which rings can have
adjoint groups with prescribed properties, etc.
The main objective of the GAP package 'Circle' is to extend GAP
functionality for computations in adjoint groups of associative rings to
make it possible to use the GAP system for the investigation of such
Circle provides functionality to construct circle objects that will
respect circle multiplication r*s = r + s + rs, create multiplicative
groups, generated by these objects, and compute groups of elements,
invertible with respect to this operation, for finite radical algebras
and finite associative rings without one.


Package Version Architecture Repository
gap-pkg-circle-1.6.1-1.fc31.noarch.rpm 1.6.1 noarch Fedora Updates Official
gap-pkg-circle-1.6.1-1.fc31.noarch.rpm 1.6.1 noarch Fedora Updates Official
gap-pkg-circle All All All


Name Value
gap-core -


Name Value
gap-pkg-circle = 1.6.1-1.fc31


Type URL
Binary Package gap-pkg-circle-1.6.1-1.fc31.noarch.rpm
Source Package gap-pkg-circle-1.6.1-1.fc31.src.rpm

Install Howto

Install gap-pkg-circle rpm package:

# dnf install gap-pkg-circle




2019-10-24 - Jerry James <> - 1.6.1-1
- Initial RPM

See Also

Package Description
gap-pkg-circle-doc-1.6.1-1.fc31.noarch.rpm Circle documentation
gap-pkg-corelg-1.54-1.fc31.noarch.rpm Computation with real Lie groups
gap-pkg-corelg-doc-1.54-1.fc31.noarch.rpm CoReLG documentation
gap-pkg-crisp-1.4.5-1.fc31.noarch.rpm Computing subgroups of finite soluble groups
gap-pkg-crisp-doc-1.4.5-1.fc31.noarch.rpm CRISP documentation
gap-pkg-crypting-0.10-1.fc31.x86_64.rpm Hashes and Crypto in GAP
gap-pkg-crypting-doc-0.10-1.fc31.noarch.rpm Crypting documentation
gap-pkg-cryst-4.1.21-1.fc31.noarch.rpm GAP support for crystallographic groups
gap-pkg-cryst-doc-4.1.21-1.fc31.noarch.rpm Cryst documentation
gap-pkg-datastructures-0.2.5-1.fc31.x86_64.rpm Standard data structures for GAP
gap-pkg-datastructures-doc-0.2.5-1.fc31.noarch.rpm Data structures documentation
gap-pkg-digraphs-1.0.3-1.fc31.x86_64.rpm GAP package for digraphs and multidigraphs
gap-pkg-digraphs-doc-1.0.3-1.fc31.noarch.rpm Digraphs documentation
gap-pkg-edim-1.3.5-2.fc31.x86_64.rpm Elementary divisors of integer matrices
gap-pkg-edim-doc-1.3.5-2.fc31.noarch.rpm EDIM documentation