Results 91 to 100 of about 8,458 (195)

∗‐π‐Reversible ∗‐Semirings and Their Applications to Generalized Inverses

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We introduce and study a new class of ∗‐semirings which is called ∗‐π‐reversible ∗‐semirings. A ∗‐semiring R is said to be ∗‐π‐reversible if for any a, b ∈ R, ab = 0 implies there exist two positive integers m and n such that bman∗=0. Some characterizations and examples of this class of semirings are given. As applications, generalized inverses related
Yuanfan Zhuo, Qinqin Gu, Huadong Su
wiley   +1 more source

*-μ-semirings and *-λ-semirings

Theoretical Computer Science
AbstractWe introduce and study *-μ-semirings and *-λ-semirings which generalize inductive *-semirings and weak inductive *-semirings, respectively. Also, we discuss the semiring of formal power series with coefficients in such a semiring and prove that the semiring of formal power series with coefficients in a weak inductive *-semiring [μ-semiring, λ ...
Feng, Feng, Zhao, Xianzhong, Jun, Young Bae   +2 more
openaire   +1 more source

L-semirings [PDF]

Journal of the Australian Mathematical Society, 1972
By a topological semiring I mean a Hausdorff space together with two continuous associative operations, addition and multiplication, such that the multiplication distributes across the addition from both sides.
openaire   +2 more sources

On generalized inverses of regular elements in an arbitrary semiring

上海师范大学学报. 自然科学版, 2018
In this paper, we investigate the generalized invertibility for regular elements in an arbitrary semiring. We give some sufficient conditions for the existence of a special kind of {1,2} inverse of a regular element a in an arbitrary semiring and give ...
Israr Ali Khan, Wang Qingwen
doaj   +1 more source

Semirings which have linearly ordered prime ideals

, 2019
As a generalization of valuation semirings, the main purpose of this paper is to investigate those semirings that their prime ideals are totally ordered by inclusion.
Behzadipour, H., Nasehpour, P.
core  

On k-ideals of semirings

International Journal of Mathematics and Mathematical Sciences, 1992
Certain types of ring congruences on an additive inverse semiring are characterized with the help of full k-ideals. It is also shown that the set of all full k-ideals of an additively inverse semiring in which addition is commutative forms a complete ...
M. K. Sen, M. R. Adhikari
doaj   +1 more source

Interval Semirings

, 2011
This book has seven chapters. In chapter one we give the basics needed to make this book a self contained one. Chapter two introduces the notion of interval semigroups and interval semifields and are algebraically analysed.
Kandasamy, W. B. Vasantha, Smarandache, Florentin   +1 more
core  

Hesitant intuitionistic fuzzy ideals of $\Gamma$-semirings

Journal of New Results in Science, 2020
In this paper, we have definedhesitant intuitionistic fuzzy ideals, hesitantintuitionistic fuzzybi-ideals and hesitant intuitionistic fuzzy quasi-ideals of a $\Gamma$-semiring and obtain some of their related properties.
Debabrata Mandal
doaj  

Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation. [PDF]

PeerJ Comput Sci, 2023
Dawood H, Megahed N.
europepmc   +1 more source

Topological characterization of Gelfand and zero dimensinal semirings

Applied General Topology, 2018
Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology.
Jorge Vielma, Luz Marchan
doaj   +1 more source