Results 11 to 20 of about 9,977 (216)
Semigroups, Rings, and Markov Chains
We analyze random walks on a class of semigroups called ``left-regular bands''. These walks include the hyperplane chamber walks of Bidigare, Hanlon, and Rockmore. Using methods of ring theory, we show that the transition matrices are diagonalizable and we calculate the eigenvalues and multiplicities.
Brown, Kenneth S.
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TRACES ON SEMIGROUP RINGS AND LEAVITT PATH ALGEBRAS [PDF]
The trace on matrix rings, along with the augmentation map and Kaplansky trace on group rings, are some of the many examples of linear functions on algebras that vanish on all commutators.
ZACHARY MESYAN, LIA VAŠ
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The strong nil-cleanness of semigroup rings
In this paper, we study the strong nil-cleanness of certain classes of semigroup rings. For a completely 0-simple semigroup M=ℳ0(G;I,Λ;P)M={ {\mathcal M} }^{0}(G;I,\text{Λ};P), we show that the contracted semigroup ring R0[M]{R}_{0}{[}M] is ...
Ji Yingdan
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THE SEMIPRIMENESS OF SEMIGROUP RINGS
Yasuyuki Hirano +2 more
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A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings [PDF]
We provide algorithmic methods to check the Cohen--Macaulayness, Buchsbaumness and/or Gorensteiness of some families of semigroup rings that are constructed from the dilation of bounded convex polyhedrons of $\R^3_{\geq}$.
García-García, Juan Ignacio +2 more
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Gluing semigroups and strongly indispensable free resolutions [PDF]
We study strong indispensability of minimal free resolutions of semigroup rings. We focus on two operations, gluing and extending, used in literature to produce more examples with a special property from the existing ones.
Stella, Leah Gold, Şahin, Mesut
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HUBUNGAN DERIVASI PRIME NEAR-RING DENGAN SIFAT KOMUTATIF RING
Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings.
PRADITA Z. TRIWULANDARI +2 more
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This book has four chapters. Chapter one is introductory in nature, for it recalls some basic definitions essential to make the book a self-contained one.
Kandasamy, W. B. Vasantha +1 more
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Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
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A Note on Linear Codes over Semigroup Rings
. In this paper, we introduced new construction techniques of BCH, alternant, Goppa, Srivastava codes through the semigroup ring B[X; 13Z0] instead of the polynomial ring B[X; Z0], where B is a finite commutative ring with identity, and for these ...
Antonio Aparecido de Andrade +2 more
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