Results 11 to 20 of about 487 (71)

(m,n)-Semirings and a Generalized Fault Tolerance Algebra of Systems [PDF]

Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013
We propose a new class of mathematical structures called (m,n)-semirings} (which generalize the usual semirings), and describe their basic properties. We also define partial ordering, and generalize the concepts of congruence, homomorphism, ideals, etc.,
Alam, Syed Eqbal, Davvaz, Bijan, Rao, Shrisha   +2 more
core   +4 more sources

On Regular Elements in an Incline

International Journal of Mathematics and Mathematical Sciences, 2010
Inclines are additively idempotent semirings in which products are less than (or) equal to either factor. Necessary and sufficient conditions for an element in an incline to be regular are obtained.
A. R. Meenakshi, S. Anbalagan
doaj   +2 more sources

The finite basis problem for additively idempotent semirings of order four, II

Algebra Universalis
We study the finite basis problem for $4$-element additively idempotent semirings whose additive reducts are quasi-antichains. Up to isomorphism, there are $93$ such algebras. We show that with the exception of the semiring $S_{(4, 435)}$, all of them are finitely based.
Yue, Mengya, Ren, Miaomiao, Zeng, Lingli, Shao, Yong   +3 more
exaly   +3 more sources

Additively idempotent matrix semirings

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be an additively idempotent semiring and [Formula: see text] be the semiring of all [Formula: see text] matrices over [Formula: see text]. We characterize the conditions of when the semiring [Formula: see text] is congruence-simple provided that the semiring [Formula: see text] is either commutative or finite.
Kepka, Tomáš, Korbelář, Miroslav
openaire   +2 more sources

Algebraic Notions of Termination [PDF]

Logical Methods in Computer Science, 2011
Five algebraic notions of termination are formalised, analysed and compared: wellfoundedness or Noetherity, L\"ob's formula, absence of infinite iteration, absence of divergence and normalisation.
Desharnais Jules, Bernhard Moeller, Struth Georg   +2 more
doaj   +1 more source

Tropical Cryptography Based on Multiple Exponentiation Problem of Matrices

Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022
Because there is no multiplication of numbers in tropical algebra and the problem of solving the systems of polynomial equations in tropical algebra is NP‐hard, in recent years some public key cryptography based on tropical semiring has been proposed. But most of them have some defects. This paper proposes new public key cryptosystems based on tropical
Huawei Huang, Chunhua Li, Zhili Zhou
wiley   +1 more source

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

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
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 semi‐rings and their characterizations. We will also establish that a semi‐group Q will be a Left Clifford Semi‐group iff the semi‐group P (Q) of all subsets of Q is ...
Rukhshanda Anjum, Zeeshan Saleem Mufti, Dilshad Alghazzawi, Nasser M. Al-Zidi, Muhammad Rizwan Ullah Khalid, Dragan Pamučar   +5 more
wiley   +1 more source

[Retracted] Some Study of Semigroups of h‐Bi‐Ideals of Semirings

Computational and Mathematical Methods in Medicine, Volume 2021, Issue 1, 2021., 2021
Semigroups are generalizations of groups and rings. In the semigroup theory, there are certain kinds of band decompositions which are useful in the study of the structure of semigroups. This research will open up new horizons in the field of mathematics by aiming to use semigroup of h‐bi‐ideal of semiring with semilattice additive reduct.
Rukhshanda Anjum, Fairouz Tchier, Zeeshan Saleem Mufti, Qin Xin, Syed Irfan Ali Shah, Yae Ulrich Gaba, Osamah Ibrahim Khalaf   +6 more
wiley   +1 more source

THE ZELEZNIKOW PROBLEM ON A CLASS OF ADDITIVELY IDEMPOTENT SEMIRINGS [PDF]

Journal of the Australian Mathematical Society, 2013
AbstractA semiring is a set$S$with two binary operations$+ $and$\cdot $such that both the additive reduct${S}_{+ } $and the multiplicative reduct${S}_{\bullet } $are semigroups which satisfy the distributive laws. If$R$is a ring, then, following Chaptal [‘Anneaux dont le demi-groupe multiplicatif est inverse’,C. R. Acad. Sci. Paris Ser.
YONG SHAO, SINIŠA CRVENKOVIĆ, MELANIJA MITROVIĆ   +2 more
openaire   +1 more source

Invertible Ideals and Gaussian Semirings [PDF]

, 2017
In the first section of this paper, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain.
Ghalandarzadeh, Shaban, Nasehpour, Peyman, Razavi, Rafieh   +2 more
core   +2 more sources