On semirings whose additive reduct is a semilattice

MK Sen, AK Bhuniya - Semigroup forum, 2011 - Springer
A semiring S whose additive reduct is a semilattice is called ak-regular semiring if for every
a∈ S there is x∈ S such that a+ axa= axa. For a semigroup F, the power semiring P (F) is ak …

[PDF][PDF] Bi-ideals in k-regular and intra k-regular semirings

A Bhuniya, K Jana - Discussiones Mathematicae-General …, 2011 - bibliotekanauki.pl
Here we introduce the k-bi-ideals in semirings and the intra k-regular semirings. An intra k-
regular semiring S is a semiring whose additive reduct is a semilattice and for each a∈ S …

[PDF][PDF] Semirings Which Are Distributive Lattices of k-Simple Semirings.

AK Bhuniya, TK Mondal - Southeast Asian Bulletin of Mathematics, 2012 - researchgate.net
Here we characterize the semirings in SL+ that are distributive lattices of k-simple (left k-
simple) semirings. A semiring is a distributive lattice of k-simple (left k-simple) semirings if …

Structure and some characterizations of left k-Clifford semirings

AK Bhuniya - Asian-European Journal of Mathematics, 2013 - World Scientific
Here, being motivated from the works of Zhu, Guo and Shum on left Clifford semigroups, we
have introduced left k-Clifford semirings as a generalization of k-Clifford semirings. A k …

k-Bi-Ideals and Quasi k-Ideals in k-Clifford and Left k-Clifford Semirings.

K Jana - Southeast Asian Bulletin of Mathematics, 2013 - search.ebscohost.com
A semiring in SL+(the variety of all semirings whose additive reduct is a semilattice) is a-
Clifford semiring (left) if and only if it is a distributive lattice of-semifields (left). Here we have …

A Note on Morita Equivalence Preserving Functor from the Category of Semigroups to the Category of Semirings.

SK Sardar, K Chakraborty… - Southeast Asian Bulletin …, 2019 - search.ebscohost.com
A Note on Morita Equivalence Preserving Functor from the Category of Semigroups to the
Category of Semirings Page 1 Southeast Asian Bulletin of Mathematics c SEAMS. 2019 Southeast …

Characterizations of Left H‐Clifford Semirings by Their H‐Ideals

R Anjum, ZS Mufti, D Alghazzawi… - Mathematical …, 2022 - Wiley Online Library
The main aim of this research is to introduce Left h− Clifford Semi‐rings. Using some basic
properties of h− regular semi‐rings we shall investigate several properties of Left h− Clifford …

Distributive Lattices of M-rectangular divided-semirings

Y Shao, X Zhao - Algebra Colloquium, 2013 - World Scientific
In this paper, we first introduce the so-called M-rectangular divided-semirings and
distributive lattices of M-rectangular divided-semirings. We then discuss the relations …

[PDF][PDF] On Characterization of Minimal k-bi-ideals in k-regular and Completely k-regular Semirings

K Hansda, TK Mondal - Novi Sad J. Math, 2019 - sites.dmi.uns.ac.rs
In this paper, we study k-regular and completely k-regular semirings. We characterize the
minimal k-bi-ideals in k-regular semirings via principal k-bi-ideals and also in completely k …

Almost Semirings-I.

GC Rao, B Assaye - Southeast Asian Bulletin of Mathematics, 2012 - search.ebscohost.com
In this paper, we introduce the concept of an almost semiring as the generlization of a
semiring. Also we introduce the concept of a strong directed family of almost semirings …