Newbetuts
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New posts in semigroups
(Organic) Chemistry for Mathematicians
group-theory
finite-groups
semigroups
noncommutative-algebra
chemistry
Do these “ultraweak” one-sided group axioms guarantee a group?
abstract-algebra
group-theory
axioms
semigroups
When a semigroup can be embedded into a group
group-theory
semigroups
Prove that $(G, \circ)$ is a group if $a\circ x = b$ and $x\circ a = b$ have unique solutions
group-theory
semigroups
Different ways of constructing the free group over a set.
category-theory
big-list
semigroups
free-groups
universal-algebra
What can we learn about a group by studying its monoid of subsets?
group-theory
reference-request
soft-question
semigroups
monoid
Is a semigroup $G$ with left identity and right inverses a group?
abstract-algebra
group-theory
examples-counterexamples
semigroups
Are there any interesting semigroups that aren't monoids?
big-list
abstract-algebra
semigroups
monoid
Is there an idempotent element in a finite semigroup?
abstract-algebra
alternative-proof
semigroups
idempotents
finite-semigroups
A finite, cancellative semigroup is a group
abstract-algebra
group-theory
finite-groups
semigroups
magma
Why are groups more important than semigroups?
abstract-algebra
group-theory
soft-question
semigroups
big-picture
A semigroup $X$ is a group iff for every $g\in X$, $\exists! x\in X$ such that $gxg = g$
abstract-algebra
group-theory
reference-request
semigroups
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