Tagged Questions
4
votes
1answer
46 views
Is there a standard name for this semigroup?
Given a semigroup $X,$ we can form a new semigroup $Y$ by asserting that:
the carrier of $Y$ is the set $X^2$, and
the law of composition in $Y$ is given by $(a,b)(a',b')=(aa',b'b).$
Finally, ...
1
vote
0answers
88 views
Errata for Semigroups and Combinatorial Applications by G. Lallement?
I am asking this question after years of frustration with the typos
in the subject book I have read. It has been cited and referenced by many literatures and books in math and computer science. ...
2
votes
0answers
132 views
Does every continuous time minimal Markov chain have the Feller property?
Consider a Q-matrix on a countable state space. (A Q-matrix is a matrix whose rows sum up to $0$, with nonpositive finite diagonal entries and nonnegative offdiagonal entries).
As explained for ...
11
votes
1answer
288 views
clarification on the definition of meaningful product
I am studying Hungerford's book "Algebra". In the page 27 he defines the meaningful product as follows.
Given any sequence of elements of a semigroup $G,
> \{a_{1},a_{2},\dots\}$ define ...
21
votes
2answers
803 views
What can we learn about a group by studying its monoid of subsets?
If $G$ is a group, then $M(G)=2^G$ is has a monoid structure when we define $AB$ to be $\{ab|a\in A,b\in B\}$ and $1_{M(G)}=\{1\}$. How much of the structure of $G$ can be recovered by studying the ...
0
votes
1answer
66 views
Linear operators and Markov semigroups
I was trying to understand the Ergodic theory recently, but I don't really have any knowledge about linear operators, Markov semigroups etc. so I didn't even fully understand the definition.
Could ...
