Results 31 to 40 of about 22,228 (202)

Free idempotent generated semigroups and endomorphism monoids of free $G$-acts [PDF]

, 2014
The study of the free idempotent generated semigroup $\mathrm{IG}(E)$ over a biordered set $E$ began with the seminal work of Nambooripad in the 1970s and has seen a recent revival with a number of new approaches, both geometric and combinatorial.
Dolinka, Igor, Gould, Victoria, Yang, Dandan   +2 more
core   +1 more source

Idempotent Triangular Matrices over Additively Idempotent Semirings: Decompositions into Products of Semicentral Idempotents

Axioms
The explicit forms of idempotent and semicentral idempotent triangular matrices over an additively idempotent semiring are obtained. We define a diamond composition of idempotents and give a representation of an idempotent n×n matrix as an (n−1)th degree
Dimitrinka Vladeva
doaj   +1 more source

Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence

Mathematics, 2021
In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
doaj   +1 more source

IDEMPOTENT MATRIX PRESERVERS OVER BOOLEAN ALGEBRAS

Journal of the Korean Mathematical Society, 2007
We consider the set of n × n idempotent matrices and we characterize the linear operators that preserve idempotent matrices over Boolean algebras. We also obtain characterizations of linear operators that preserve idempotent matrices over a chain semiring, the nonnegative integers and the nonnegative reals.
Seok-Zun Song, Kyung-Tae Kang, Leroy B. Beasley   +2 more
openaire   +2 more sources

The Equivalent Standard Forms of a Class of Tropical Matrices and Centralizer Groups

Mathematics
In this paper, the equivalent standard forms of tropical idempotent strongly definite matrices are introduced. In particular, the observation of the equivalent standard forms of tropical idempotent normal matrices is given.
Yanliang Cheng
doaj   +1 more source

On Decompositions of Matrices over Distributive Lattices

Journal of Applied Mathematics, 2014
Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1m‍Li ...
Yizhi Chen, Xianzhong Zhao
doaj   +1 more source

A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field

The Scientific World Journal, 2013
Let be an arbitrary field and a square matrix over . Then is sum of two square nilpotent matrices over if and only if, for every algebraic extension of and arbitrary nonzero , there exist idempotent matrices and over such that .
Xiaofei Song, Baodong Zheng, Chongguang Cao   +2 more
doaj   +1 more source

A CHARACTERIZATION OF BAER-IDEALS [PDF]

Journal of Algebraic Systems, 2014
An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
doaj   +1 more source

Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices

Results in Applied Mathematics, 2022
In some matrix formations, factorizations and transformations, we need special matrices with some properties and we wish that such matrices should be easily and simply generated and of integers.
Pengwei Hao, Chao Zhang, Huahan Hao
doaj   +1 more source

IDEMPOTENT MATRIX OVER SKEW GENERALIZED POWER SERIES RINGS

Journal of Fundamental Mathematics and Applications (JFMA), 2022
Let $R[[S,\leq,\omega]]$ be a skew generalized power series ring, with $R$ is a ring with an identity element, $(S,\leq)$ a strictly ordered monoid, and $\omega:S\rightarrow End(R)$ a monoid homomorphism. We define  the set of all matrices over $R[[S,\leq,\omega]]$, denoted by $M_{n}(R[[S,\leq,\omega]])$.
Ahmad Faisol, Fitriani Fitriani
openaire   +1 more source