Results 1 to 10 of about 114,538 (286)
Commutativity of one sided s-unital rings through a Streb's result
International Journal of Mathematics and Mathematical Sciences, 1997 The main theorem proved in the present paper states as follows Let m, k, n and s be fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left (resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n ...
Murtaza A. Quadri +2 more
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Poincar\'e series of modules over compressed Gorenstein local rings
, 2014 Given positive integers e and s we consider Gorenstein Artinian local rings R of embedding dimension e whose maximal ideal $\mathfrak{m}$ satisfies $\mathfrak{m}^s\ne 0=\mathfrak{m}^{s+1}$.
Rossi, Maria Evelina, Şega, Liana M
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Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018 All minimal irreducible solvable subgroups of the group GL(q,{Z}_{p}) (q is a prime, {Z}_{p} is the ring of rational $p$-adic integers) are described up to conjugation for p ...
О. А. Кирилюк
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On Certain Divisibility Property of Polynomials [PDF]
, 2010 We review the definition of D-rings introduced by H. Gunji & D. L. MacQuillan. We provide an alternative characterization for such rings that allows us to give an elementary proof of that a ring of algebraic integers is a D-ring.
Caceres, Luis F. +1 more
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International Journal of Mathematics and Mathematical Sciences, 1996 Let R be a ring, and let N and C denote the set of nilpotents and the center of R, respectively. R is called generalized periodic if for every x∈R\(N⋃C), there exist distinct positive integers m, n of opposite parity such that xn−xm∈N⋂C.
Howard E. Bell, Adil Yaqub
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Minimal irreducible solvable subgroups of the group GL(2, Rp)
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017 All minimal irreducible solvable subgroups of the group GL(2, Rp) (Rp is the ring of integers of the finite ixtension Fp of the fileld rational p-adic numbers Qp for p > 2) are described up to conjugation.
О. А. Кирилюк
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The ring of arithmetical functions with unitary convolution: General Truncations [PDF]
, 2002 Let A denote the ring of arithmetical functions with unitary convolution, and let V be a finite subset of the positive integers having the property that for every v in V, all unitary divisors of v lie in V.
Snellman, Jan
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Graphs Induced by W-Regular Rings With Application to Zpn
International Journal of Mathematics and Mathematical SciencesA ring R is called W-regular if for any non-nilpotent element a of R, there exists an element b of R such that a=aba. This ring is generalized to a regular ring and is a special type of π-regular ring; therefore, some results on rings that are regular ...
Mostafa Amer Khattab +2 more
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On commutativity of one-sided s-unital rings
International Journal of Mathematics and Mathematical Sciences, 1992 The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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Relative integral basis for algebraic number fields
International Journal of Mathematics and Mathematical Sciences, 1986 At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(m3).
Mohmood Haghighi
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