Results 111 to 120 of about 55,120 (219)

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
doaj   +1 more source

Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups

AIMS Mathematics
In this paper, we introduce a method for computing the primitive decomposition of idempotents in any semisimple finite group algebra, utilizing its matrix representations and Wedderburn decomposition.
Lilan Dai, Yunnan Li
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Idempotent plethories

Journal of Algebra, 2016
I found some critical errors that I was unable to ...
openaire   +3 more sources

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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Idempotent distributive semirings II

Semigroup Forum, 1983
In [2] it is shown that every idempotent distributive semiring is the Plonka sum of a semilattice ordered system of idempotent distributive semirings which satisfy the generalized absorption law x+xyx+x=x. We shall show that an idempotent distributive semiring which satisfies the above absorption law must be a subdirect product of a distributive ...
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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

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
Abstract The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation. In most results related to rings and semirings, Birkenmeier’s semicentral idempotents play a crucial role.
Rachev, Martin, Trendafilov, Ivan
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Minimal idempotency, partial idempotency, search heuristics and constructive algorithms for idempotent integers

Publications mathématiques de Besançon. Algèbre et théorie des nombres
Previous work established the set of square-free integers n with at least one factorization n = p
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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