This book introduces recently developed ideas and techniques in semigroup theory to provide a handy reference guide previously unavailable in a single volume. The opening …
NM Khan - Journal of the Australian Mathematical Society, 1985 - cambridge.org
On saturated permutative varieties and consequences of permutation identities Page 1 J. Austral. Math. Soc. (Series A) 38 (1985), 186-197 ON SATURATED PERMUTATTVE …
We show that all subvarieties of the variety of rectangular bands are closed in the variety of all bands. Further, we show that the variety of regular bands is closed. Next, we introduce …
S Abbas, W Ashraf, AH Shah - Asian-European Journal of …, 2021 - World Scientific
We have shown that a variety of left (right) normal bands is closed in some homotypical varieties. Further, we partially generalize a result of Isbell from the class of commutative …
The complete characterization of saturated varieties of semigroups remains an unsolved problem. The primary objective of this paper is to make significant progress in this direction …
We show that the variety of permutative posemigroups is epimorphically closed and all subvarieties of the variety V of permutative posemigroups admitting a permutation identity x …
We show that any right semicommutative semigroup satisfying the minimum condition on principal right ideals is saturated. Further we show that if a supersaturated semigroup S has …
JM Howie has shown that the finite monogenic semigroups are absolutely closed. We provide a new, simple and direct proof of Howie's result. We also show that all the varieties …
R Alam, W Ashraf, NM Khan - Journal of Algebra and Related Topics, 2024 - jart.guilan.ac.ir
As we know that all non-trivial permutation identities are not preserved under epimorphisms of partially ordered semigroups. In this paper towards this open problem, first we show that …