Results 41 to 50 of about 369 (191)
MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING
Barekeng, 2021 Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphism. Formed , which is a set of all functions from S to R with are Artin and narrow.
Siti Rugayah +2 more
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Journal of Algebra, 2006 A `linear algebraic monoid' is an affine variety defined over an algebraically closed field \(K\) with an associative morphism and an identity. The unit group of an algebraic monoid is an algebraic group. An algebraic monoid is `irreducible' if it is irreducible as a variety.
Li, Zhuo, Li, Zhenheng, Cao, You'an
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On pomonoid of partial transformations of a poset
Open Mathematics, 2023 The main objective of this article is to study the ordered partial transformations PO(X){\mathcal{PO}}\left(X) of a poset XX. The findings show that the set of all partial transformations of a poset with a pointwise order is not necessarily a pomonoid ...
Al Subaiei Bana
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Rationality, irrationality, and Wilf equivalence in generalized factor order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $P$ be a partially ordered set and consider the free monoid $P^{\ast}$ of all words over $P$. If $w,w' \in P^{\ast}$ then $w'$ is a factor of $w$ if there are words $u,v$ with $w=uw'v$. Define generalized factor order on $P^{\ast}$ by letting $u \leq
Sergey Kitaev +3 more
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Galois orders in skew monoid rings
Journal of Algebra, 2010 The paper deals with ring extensions \(\Gamma\subset U\) of an integral domain \(\Gamma\), in particular, a general class of subrings of invariants in twisted Galois semigroup rings which the authors call Galois orders. The study of such Galois orders is inspired by the authors' previous work on Harish-Chandra categories [Fibers of characters in Harish-
Futorny, Vyacheslav, Ovsienko, Serge
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Right-orderability versus left-orderability for monoids
Semigroup Forum, 2021 We investigate the relationship between (total) left- and right-orderability for monoids, in particular illustrating the finite case by various structural observations and counterexamples, also highlighting the particular role played by \emph{positive} orderability.Moreover, we construct a non-left-orderable, positively right-orderable submonoid of the
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On a complete lattice of retracts of a free monoid generated by three elements [PDF]
Opuscula Mathematica, 2008 We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.
Wit Foryś
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PS-Modules over Ore Extensions and Skew Generalized Power Series Rings
International Journal of Mathematics and Mathematical Sciences, 2015 A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension.
Refaat M. Salem +2 more
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Bruhat-Chevalley Order in Reductive Monoids [PDF]
Journal of Algebraic Combinatorics, 2004 Let \(M\) be an irreducible algebraic monoid with zero. \(M\) is a reductive monoid if it is the Zariski closure in \(M_n(K)\) of a reductive group \(G\subseteq\text{GL}_n(K)\). The Bruhat-Chevalley order in \(G\) has a natural extension to \(M\). The Renner monoid \(R\) for \(M\) takes the place of the Weyl group \(W\) for \(G\).
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Automorphisms of partition order-decreasing transformation monoids [PDF]
Semigroup Forum, 2012 Let \(T_n\) (\(S_n\)) be the full transformation semigroup (the symmetric group, respectively) on an \(n\)-element set \(X_n\), \(\rho\) an equivalence relation on \(X_n\), \(\preceq\) a total order on \(X_n/\rho\), \(T(\rho,\preceq)=\{\alpha\in T_n:(x\alpha)\rho\preceq x\rho,\;\forall x\in X_n\}\) and \(U_\rho=\{\mu\in S_n:(x\rho)\mu=x\rho,\;x\in X_n\}
Yang, Haobo, Yang, Xiuliang
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