Results 91 to 100 of about 43,216 (196)

Direct products of cyclic semigroups and left zero semigroups in $\beta\mathbb{N}$ [PDF]

Categories and General Algebraic Structures with Applications
We show that for every $n\in\mathbb{N}$, the direct product of the cyclic semigroup of order $n$ and period $1$ and the left zero semigroup $2^\mathfrak{c}$ has copies in $\beta\mathbb{N}$.
Yuliya Zelenyuk
doaj   +1 more source

Idempotents in ring extensions

Journal of Algebra, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanwar, Pramod, Leroy, André, Matczuk, Jerzy   +2 more
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On linear algebraic semigroups III

International Journal of Mathematics and Mathematical Sciences, 1981
Using some results on linear algebraic groups, we show that every connected linear algebraic semigroup S contains a closed, connected diagonalizable subsemigroup T with zero such that E(T) intersects each regular J-class of S.
Mohan S. Putcha
doaj   +1 more source

On Constructing Orthogonal Idempotents

Rocky Mountain Journal of Mathematics, 2007
Let \(A\) be a commutative semisimple algebra over an algebraically closed field. Let \(e_1,\dots,e_{n-1}\), where \(3\leq n\leq\dim A\), be nontrivial orthogonal idempotents in \(A\) such that \(e_1,\dots,e_{n-2}\) are minimal. It is shown that then there exist nontrivial orthogonal idempotents \(q_1,\dots,q_n\) with \(q_1,\dots,q_{n-1}\) minimal.
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Translatability and translatable semigroups

Open Mathematics, 2018
The concept of a k-translatable groupoid is explored in depth. Some properties of idempotent k-translatable groupoids, left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved. Necessary and sufficient conditions are
Dudek Wieslaw A., Monzo Robert A. R.
doaj   +1 more source

1-Sylvester matrices

Special Matrices
A nonzero element aa is called 1-Sylvester in a ring RR, if there exist b,c∈Rb,c\in R such that 1=ab+ca1=ab+ca. In this article, we study such elements, mainly in matrix rings over commutative rings.
Călugăreanu Grigore
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Properties of semigroups of elementary types of model classes

Қарағанды университетінің хабаршысы. Математика сериясы
The study of classes of first-order countable language models and their properties is an important direction in model theory. Of particular interest are axiomatizable classes of models (varieties, quasivarieties, finitely axiomatizable classes ...
A. Kabidenov, A. Kassatova, M. Bekenov, A. Mamyraly   +3 more
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Generalizing Semi-n-Potent Rings

Қарағанды университетінің хабаршысы. Математика сериясы
The present article deals with the problem of characterizing a widely large class of associative and possibly non-commutative rings. So, we define and explore the class of rings R for which each element in R is a sum of a tripotent element from R and an
A. Javan, A. Moussavi, P. Danchev
doaj   +1 more source

Idempotents in symmetric semigroups

Journal of Combinatorial Theory, Series A, 1972
AbstractWe count the number of idempotent elements in a certain section of the s symmetric semigroup Sn on n letters. As a corollary of our result we have that every maximal principal right ideal of Sn contains ∑i=1n−1in−i−1(n−2i−1)+(n−1i) idempotent elements.
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Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]

Sci Rep, 2023
Suleimenov IE, Vitulyova YS, Kabdushev SB, Bakirov AS.   +3 more
europepmc   +1 more source