Copyright c © 2014 Hengwu Zheng and Yunlong Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. It is shown that every strongly regular congruence on an E-inversive semigroup is uniquely determined by its kernel and hyper-trace. Fur-thermore, strongly orthodox (resp., strongly regular) congruences on an E-inversive (resp., E-inversive E-)semigroup S are described in terms of certain congruence pairs (ξ,K), where ξ is a certain normal congru-ence on the subsemigroup 〈E(S) 〉 generated by E(S) and K is a certain normal subsemigroup of S
AbstractThe kernel relation for a regular semigroup S identifies two congruences on S if they have t...
AbstractThe kernel relation for a regular semigroup S identifies two congruences on S if they have t...
AbstractLet τ be a congruence on a full regular subsemigroup R of a regular semigroup S. The least c...
The concept of strongly eventually regular congruences on E-inversive semigroups is introduced. Some...
Copyright c © 2013 Yabing Shi et al. This is an open access article distributed under the Creative C...
Copyright c © 2014 Xinyan Li and Lanlan Li. This is an open access article distributed under the Cre...
Congruences on inverse semigroups via the (kernel-trace) method introduced by Scheiblich in 1974. In...
In this paper, we introduce a new inverse transversal E-inverse transver-sal. We discuss some nature...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
AbstractLet τ be a congruence on a full regular subsemigroup R of a regular semigroup S. The least c...
Edwards describes in [4] the maximum idempotent-separating congruence on a eventually regular (equiv...
AbstractThe kernel relation for a regular semigroup S identifies two congruences on S if they have t...
AbstractThe kernel relation for a regular semigroup S identifies two congruences on S if they have t...
AbstractLet τ be a congruence on a full regular subsemigroup R of a regular semigroup S. The least c...
The concept of strongly eventually regular congruences on E-inversive semigroups is introduced. Some...
Copyright c © 2013 Yabing Shi et al. This is an open access article distributed under the Creative C...
Copyright c © 2014 Xinyan Li and Lanlan Li. This is an open access article distributed under the Cre...
Congruences on inverse semigroups via the (kernel-trace) method introduced by Scheiblich in 1974. In...
In this paper, we introduce a new inverse transversal E-inverse transver-sal. We discuss some nature...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
A semigroup $S$ is called \emph{idempotent-surjective} [\emph{regular-surjective}] if whenever $\rho...
AbstractLet τ be a congruence on a full regular subsemigroup R of a regular semigroup S. The least c...
Edwards describes in [4] the maximum idempotent-separating congruence on a eventually regular (equiv...
AbstractThe kernel relation for a regular semigroup S identifies two congruences on S if they have t...
AbstractThe kernel relation for a regular semigroup S identifies two congruences on S if they have t...
AbstractLet τ be a congruence on a full regular subsemigroup R of a regular semigroup S. The least c...