[图书][B] Fundamentals of semigroup theory
JM Howie - 1995 - academic.oup.com
This book is an indispensable source for anyone with an interest in semigroup theory or
whose research overlaps with this increasingly important and active field of mathematics. It …
whose research overlaps with this increasingly important and active field of mathematics. It …
[引用][C] Inverse Semigroups, the Theory of Partial Symmetries
MV Lawson - 1998 - books.google.com
Symmetry is one of the most important organising principles in the natural sciences. The
mathematical theory of symmetry has long been associated with group theory, but it is a …
mathematical theory of symmetry has long been associated with group theory, but it is a …
The natural partial order on a regular semigroup
KSS Nambooripad - Proceedings of the Edinburgh Mathematical …, 1980 - cambridge.org
It is well-known that on an inverse semigroup S the relation≦ defined by a≦ b if and only if
aa− 1= ab− 1 is a partial order (called the natural partial order) on S and that this relation is …
aa− 1= ab− 1 is a partial order (called the natural partial order) on S and that this relation is …
Groups, semilattices and inverse semigroups. II
DB McAlister - Transactions of the American Mathematical Society, 1974 - ams.org
An inverse semigroup is called proper if the equations $ ae= e={e^ 2} $ together imply ${a^
2}= a $. In a previous paper, with the same title, the author proved that every inverse …
2}= a $. In a previous paper, with the same title, the author proved that every inverse …
A REPRESENTATION OF E-UNITARY INVERSE SEMIGROUPS
M Petrich, NR Reilly - The Quarterly Journal of Mathematics, 1979 - academic.oup.com
AN inverse semigroup is E-unitary if ea= e2= e implies that a2= a. McAlister [3],[4] proved
two remarkable theorems concerning these semigroups:(1) every E-unitary inverse …
two remarkable theorems concerning these semigroups:(1) every E-unitary inverse …
Some covering and embedding theorems for inverse semigroups
DB McAllister - Journal of the Australian Mathematical Society, 1976 - cambridge.org
An inverse semigroup S is called E-unitary if the equations ea= e= e2 together imply a2= a.
In a previous paper the author showed that every inverse semigroup is an idempotent …
In a previous paper the author showed that every inverse semigroup is an idempotent …
F-abundant semigroups
X Guo - Glasgow Mathematical Journal, 2001 - cambridge.org
F-abundant semigroups Page 1 F-ABUNDANT SEMIGROUPS* XIAOJIANG GUO Department
of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, PR China and …
of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, PR China and …
γ-demi-groupes, demi-modules, produits demi-directs
A Batbedat - Semigroups: Proceedings of a Conference Held at …, 2006 - Springer
y-DEMI-GROUPES, DEMI-MODULES, PRGDUITS DEMI-DIRECTS A, BATBEDAT
INTRODUCTION Page 1 y-DEMI-GROUPES, DEMI-MODULES, PRGDUITS DEMI-DIRECTS A …
INTRODUCTION Page 1 y-DEMI-GROUPES, DEMI-MODULES, PRGDUITS DEMI-DIRECTS A …
On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers
O Gutik, A Savchuk - arXiv preprint arXiv:1904.11802, 2019 - arxiv.org
In this paper we study submonoids of the monoid $\mathscr {I} _\infty^{\,\Rsh\!\!\!\nearrow}(\
mathbb {N}) $ of almost monotone injective co-finite partial selfmaps of positive integers …
mathbb {N}) $ of almost monotone injective co-finite partial selfmaps of positive integers …
The semigroup of partial co-finite isometries of positive integers
O Gutik, A Savchuk - arXiv preprint arXiv:1904.06638, 2019 - arxiv.org
The semigroup $\mathbf {I}\mathbb {N} _ {\infty} $ of all partial co-finite isometries of positive
integers is studied. We describe Green's relations on the semigroup $\mathbf {I}\mathbb {N} …
integers is studied. We describe Green's relations on the semigroup $\mathbf {I}\mathbb {N} …