Let B(X) denote the semigroup of binary relations on a set X under composition. We study two natural partial orders onB(X) and characterize when two elements ofB(X) are related under these orders. The maximality, minimality, left compatibility and right compatibility of elements are considered with respect to each order
summary:Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on gen...
Let $X$ be any set and $P(X)$ the set of all partial transformations defined on $X$, that is, all fu...
Let $X$ be any set and $P(X)$ the set of all partial transformations defined on $X$, that is, all fu...
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equatio...
For a semigroup \(S\), let \(S1\) be the semigroup obtained from \(S\) by adding a new symbol 1 as i...
For a semigroup \(S\), let \(S1\) be the semigroup obtained from \(S\) by adding a new symbol 1 as i...
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equatio...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on the nonempty set $X$. We fix a nonempty sub...
Let ${\cal T}_X$ be the full transformation semigroup on the nonempty set $X$. We fix a nonempty sub...
Let ${\cal T}_X$ be the full transformation semigroup on the nonempty set $X$. We fix a nonempty sub...
summary:Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on gen...
Let $X$ be any set and $P(X)$ the set of all partial transformations defined on $X$, that is, all fu...
Let $X$ be any set and $P(X)$ the set of all partial transformations defined on $X$, that is, all fu...
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equatio...
For a semigroup \(S\), let \(S1\) be the semigroup obtained from \(S\) by adding a new symbol 1 as i...
For a semigroup \(S\), let \(S1\) be the semigroup obtained from \(S\) by adding a new symbol 1 as i...
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equatio...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on a set $X$ and $E$ be a non-trivial equivale...
Let ${\cal T}_X$ be the full transformation semigroup on the nonempty set $X$. We fix a nonempty sub...
Let ${\cal T}_X$ be the full transformation semigroup on the nonempty set $X$. We fix a nonempty sub...
Let ${\cal T}_X$ be the full transformation semigroup on the nonempty set $X$. We fix a nonempty sub...
summary:Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on gen...
Let $X$ be any set and $P(X)$ the set of all partial transformations defined on $X$, that is, all fu...
Let $X$ be any set and $P(X)$ the set of all partial transformations defined on $X$, that is, all fu...