Zero divisors with small supports in group algebras of torsion-free groups over a fieldRabindranath ChakrabortySourav Koner
摘要: Let F be an infinite field. We prove that the right zero divisors of a three-dimensional associative F-algebra A must form the union of at most finitely many linear subspaces of A. The proof is elementary and written with students as the intended audience....
Zero divisors and idempotents in group rings 来自 Cambridge Univ Press 喜欢 0 阅读量: 39 作者: PA Linnell 摘要: 1.Introduction. LetkGdenote the group algebra of a groupGover a fieldk. In this paper we are first concerned with the zero divisor conjecture: that ifGis torsion free, thenk...
1)zero-divisors-cup-length零除子卡积长度 2)prime null divisor素零除子 3)zero-length长度为零 英文短句/例句 1.Reading fileError Zero Length读取文件长度为零错误 2.The file %1 has a length of zero bytes and cannot be hashed. Choose another file to hash.文件 %1 长度为零字节,不能被哈希。
References in periodicals archive? An element a [member of] h(R) is called azerodivisoron M if am = 0 for some m [member of] h(M). Properties of [phi]-Primal Graded Ideals More results ► Full browser? Complete English Grammar Rules ...
On zero divisors and units in near-rings Near rings without zero divisors, and a dual structure, near codomains, are studied. It is shown that a near ring is a near field if and only if it is an integral near ring, a near codomain, and has a non-zero distributive element. If th....
Conics in the Grothendieck ring The subring of the Grothendieck ring of k-varieties generated by smooth conics is described, giving many zero divisors. The proof uses only elementary proj... J Kollár - 《Advances in Mathematics》 被引量: 52发表: 2005年 ...
Zero divisors and units with small supports in group algebras of torsion-free groups 期刊名称: Communications in Algebra 作者: Abdollahi, Alireza,Taheri, Zahra 年份: 2018年 关键词: Divisor graph;group ring;Kaplansky’s unit conjecture;Kaplansky’s zero divisor conjecture;torsion-free group;zero ...
In part... CP Mooney - 《Communications in Algebra》 被引量: 2发表: 2014年 Projective bases of division algebras and groups of central type A. Brown, On zero divisors in group rings. Bull. London Math. Soc. 8 (1976), 251-256. [Ch] F. Chouraqui, "Set-theoretical" solutions of ...
Kaplanski's Zero Divisor Conjecture envisions that for a torsion-free group G and an integral domain R, the group ring R[G] does not contain non-trivial zero divisors. We define the length of an element a in R[G] as the minimal non-negative integer k for which there are ring element...