Epimorphisms, dominions and varieties of bands

SA Ahanger, AH Shah - Semigroup Forum, 2020 - Springer
We show that all subvarieties of left regular bands are closed in the variety of all bands. We
also show that all subvarieties of left seminormal bands are saturated in the variety of all …

Closed and saturated varieties of semigroups

SA Ahanger, M Nabi, AH Shah - Communications in Algebra, 2023 - Taylor & Francis
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 …

Epimorphisms, Closed, and Supersaturated Semigroups

N Alam, NM Khan - Communications in Algebra, 2014 - Taylor & Francis
We show that any almost unitary subsemigroup of a semigroup is closed in the containing
semigroup and that the class of all left [right] regular semigroups is closed. Finally, we show …

On Closedness of Some Homotypical Varieties of Semigroups

N Alam, AH Shah, S Bano, S Obeidat… - Journal of …, 2024 - Wiley Online Library
It is well known that every subvariety of the variety of semigroups need not be absolutely
closed. Thus, identifying those subvarieties that are closed in themselves or in larger …

Dominions and closed varieties of bands

S Abbas, W Ashraf, NM Khan - Hacettepe Journal of Mathematics …, 2023 - dergipark.org.tr
We show that all subvarieties of the variety of rectangular bands are closed in the variety of $
n $-nilpotent extension of bands. Ahanger, Nabi and Shah in [1] have proved that the variety …

Some homotypical closed varieties of semigroups

M Nabi, SA Ahanger, S Bano, AH Shah - Arabian Journal of Mathematics, 2023 - Springer
We show that for each n≥ 2∈ N, the varieties V n=[x 1 x 2 x 3= x 1 nxi 1 xi 2 xi 3] where i is
any non-trivial permutation of {1, 2, 3} are closed. Further, we show that for each n∈ N, the …

[PDF][PDF] On saturated semigroups

N Alam - Journal of Abstract and Computational Mathematics, 2019 - researchgate.net
We show that the class of permutative semigroups (medial semigroups) satisfying the
homotypical identity [axy= axay] is saturated and, as a corollary, we found that an externally …

Epimorphisms Amalgams and Po-Unitary Pomonoids

AH Shah, BA Subaiei - Axioms, 2025 - mdpi.com
Epimorphisms Amalgams and Po-Unitary Pomonoids Next Article in Journal Influence of a
Given Field of Temperature on the Blood Pressure Variation: Variational Analysis …

[PDF][PDF] Some Closed Varieties of Semigroups

S Abbas, A Bano, W Ashraf - Palestine Journal of Mathematics, 2023 - researchgate.net
Some Closed Varieties of Semigroups Page 1 Palestine Journal of Mathematics Vol. 12(3)(2023)
, 52–64 © Palestine Polytechnic University-PPU 2023 Some Closed Varieties of …

On closed and absolutely closed varieties of posemigroups

S Bano, AH Shah, M Nabi - Asian-European Journal of Mathematics, 2023 - World Scientific
In this paper, we first show that the variety 𝒱 of posemigroups satisfying an identity axy=
axay is closed if it is 𝒱-convex. Next, we show that inverse posemigroups satisfying an …