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A cyclic subsemigroup of a semigroup S that is a group
semigroups
The number of esquares of idempotents in the rank 2 $\mathcal{D}$-class of $M_n(\mathbb{Z}_2)$.
linear-algebra
abstract-algebra
combinatorics
semigroups
idempotents
If $\forall a,b \in G, \exists x \in G: a * x = b$ and $\forall a,b \in G, \exists x \in G: x * a = b$ then $G$ is a group
group-theory
semigroups
What does it mean when people say that groups are a study of symmetry?
group-theory
symmetric-groups
semigroups
Show that a semigroup with $aS \cup \{a\} = bS \cup \{b\}$ and $Sa \cup \{a\} = Sb \cup \{b\}$ is a group
abstract-algebra
group-theory
semigroups
infinite monoid H that is not a free monoid and contains a free monoid as a submonoid [closed]
abstract-algebra
semigroups
monoid
Partition of $\mathbb{R}^+$ into two semigroups
abstract-algebra
set-theory
semigroups
Is this structure a group?
abstract-algebra
group-theory
semigroups
Why is the free monoid free?
semigroups
monoid
Terminology for semigroups where every element is a product
terminology
semigroups
Cayley tables and associativity [duplicate]
group-theory
semigroups
associativity
magma
Help me prove equivalently of regular semigroup and group.
abstract-algebra
semigroups
Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$
real-analysis
abstract-algebra
semigroups
orthogonal-polynomials
chebyshev-polynomials
Semigroups and solutions of equation
group-theory
finite-groups
semigroups
What are the subsemigroups of $(\mathbb N,+)?$
elementary-number-theory
semigroups
Semigroup analogue to the classification of finite simple groups?
abstract-algebra
group-theory
semigroups
Probs. 12 & 13 , Sec. 2.3, in Herstein's TOPICS IN ALGEBRA, 2nd ed: Existence of only right-sided identity and right-sided inverses suffice
abstract-algebra
group-theory
proof-verification
semigroups
Proving this non-empty set and binary operation is a group [duplicate]
group-theory
finite-groups
semigroups
binary-operations
associativity
clarification on the definition of meaningful product
abstract-algebra
group-theory
reference-request
semigroups
Can we extend the definition of a homomorphism to binary relations?
abstract-algebra
relations
semigroups
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