ON EXISTENCE OF MINIMAL GENERATING SETS AND MAXIMAL INDEPENDENT SETS IN GROUPS AND THE ADDITIVE SEMIGROUP OF INTEGERS (original) (raw)
Related papers
Independent Elements and Minimal Generating Sets in Infinite Semigroups
International Journal of Scientific Research and Engineering Development-– Volume 6 Issue 4, July- Aug 2023 , 2023
A Study on the Relationship Between Minimal Generating Sets and Independence in Semigroups
Marshal Sampson, Jackson Ante, Michael John, Christiana Igiri
International Journal of Computer Science and Mathematical Theory (IJCSMT) E-ISSN 2545-5699 P-ISSN 26951924 Vol 10. No.1 2024 www.iiardjournals.org, 2024
On independence and minimal generating set in semigroups and countable systems of semigroups
International Journal of Mathematical Analysis and Modelling, Volume 6, Issue 2, October-November 2023, pages 377 – 388 , 2023
On additive bases in infinite abelian semigroups
arXiv: Combinatorics, 2020
Some generalizations of Lagrange theorem and factor subsets for semigroups
Journal of Mathematical Extension, 2017
Free idempotent generated semigroups: subsemigroups, retracts and maximal subgroups
Communications in Algebra
On Subgroups of Finite Index in Positively Finitely Generated Groups
Bulletin of the London Mathematical Society, 2005
Journal of Universal Mathematics, 2020
Effective dimension of finite semigroups
Journal of Pure and Applied Algebra, 2012
Reaching the minimum ideal in a finite semigroup
Semigroup Forum, 2015
Groups with all elements of finite length
Journal of Algebra, 2003
Archiv der Mathematik, 2015
Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup
Semigroup Forum, 2013
Maximal orders in semigroups 1
Communications in Algebra, 1999
Minimal Relative Generating Sets of Some Partial Transformation Semigroups
Communications in Algebra, 2016
A semigroup is finite if and only if it is chain-finite and antichain-finite
2020
Free Idempotent Generated Semigroups Over Bands and Biordered Sets with Trivial Products
International Journal of Algebra and Computation, 2016
On a Problem of M. Kambites Regarding Abundant Semigroups
Communications in Algebra, 2012
Unary enhancements of inherently non-finitely based semigroups
Tatiana Pervukhina, Mikhail Volkov
Semigroup Forum, 2013
On Minimal Generating Sets for Symmetric and Alternating Groups
Bulletin of the Iranian Mathematical Society, 2018
A Group Theoretical Characterisation of S-Arithmetic Groups in Higher Rank Semi-Simple Groups
2002
On certain minimal conditions for infinite groups
Journal of Algebra, 1978
4 Invariable Generation of Infinite Groups
2016
Every infinite group can be generated by P-small subset
Applied General Topology, 2006
On idempotent generated semigroups
Semigroup Forum, 2002
Maximal subgroups of countable groups, a survey
2019
The Structure Theorems for Infinite Abelian Groups
International Journal of Sciences: Basic and Applied Research, 2021
Sum-Free Subsets of Right Cancellative Semigroups
European Journal of Combinatorics, 2001
Two generalizations of homogeneity in groups with applications to regular semigroups
Invariable generation of infinite groups
Journal of Algebra, 2015
Algorithmic problems for finite groups and finite 0-simple semigroups
Journal of Pure and Applied Algebra, 1997
On Finite Extension and Conditions on Infinite Subsets of Finitely Generated FC and FN k -groups
2018
Discussion on Some Properties of an Infinite Non-abelian Group
2017
A property of groups of non-exponential growth
Proceedings of the American Mathematical Society, 1976
Semigroups with the Erdős-Turán property
Proceedings of the 'Integers Conference 2005' in Celebration of the 70th Birthday of Ronald Graham, Carrollton, Georgia, October 27-30, 2005