Results 91 to 100 of about 1,035 (227)

UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS

Forum of Mathematics, Sigma, 2017
A permutoid is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set.
MARTIN R. BRIDSON, HENRY WILTON
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Amalgamated Free Products of Inverse Semigroups

, 1997
This paper is the first of two papers devoted to the study of amalgamated free products of inverse semigroups. The subject of our second paper is the structure of amalgamated free products while this one is concerned with offering concrete descriptions ...
Bennett, Paul
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Inverse semigroups with idempotent-fixing automorphisms [PDF]

, 2014
A celebrated result of J. Thompson says that if a finite group G has a fixedpoint-free automorphism of prime order, then G is nilpotent. The main purpose of this note is to extend this result to finite inverse semigroups. An earlier related result of B.
Araújo, João, Kinyon, Michael
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Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]

Categories and General Algebraic Structures with Applications
In this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
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Closed inverse subsemigroups of graph inverse semigroups

, 2017
As part of his study of representations of the polycylic monoids, M.V. Lawson described all the closed inverse submonoidsof a polycyclic monoid and classified them up to conjugacy.
Gilbert, Nick, Alali, Amal Saad
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Inverse semigroups associated with one-dimensional generalized solenoids

, 2020
In this paper, we study inverse semigroups defined on the Bratteli–Vershik systems and SFT covers of 1-solenoids. We show that groupoids of germs of these inverse semigroups are equivalent to the unstable equivalence groupoids of 1-solenoids.
이인협
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Inverse semigroups and inverse categories

, 2012
The theory of inverse semigroups forms a major part of semigroup theory. This theory has deep connections with important mathematical disciplines, not only classical ones such as geometry, functional analysis, number theory, but also with more recent ...
Macedo, Alexandra
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Beyond Regular Semigroups [PDF]

, 2012
The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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Computer solutions of problems in inverse semigroups

, 2010
In 1981, Tamura posed a number of problems regarding the axiomatic definition of inverse semigroups. The main goal of this article is to use automated reasoning to solve these problems. In the process, we find some new defining sets of identities for the
Araújo, João, McCune, William
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Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range

International Journal of Mathematics and Mathematical Sciences, 2008
Let T(X) be the full transformation semigroup on the set X and let T(X,Y)={α∈T(X):Xα⊆Y}. Then T(X,Y) is a sub-semigroup of T(X) determined by a nonempty subset Y of X.
Jintana Sanwong, Worachead Sommanee
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