Pub Date : 2024-08-06DOI: 10.1080/00927872.2024.2377806
Blake Norman
Let (G,X) be a transitive non-geometric sharp permutation group of type {0,k} and let x∈X. We prove that if the point stabilizer Gx is a Frobenius group with cyclic Frobenius kernel, then Gx≅AGL(1,...
{"title":"Sharp permutation groups whose point stabilizers are Frobenius groups with cyclic Frobenius kernel","authors":"Blake Norman","doi":"10.1080/00927872.2024.2377806","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377806","url":null,"abstract":"Let (G,X) be a transitive non-geometric sharp permutation group of type {0,k} and let x∈X. We prove that if the point stabilizer Gx is a Frobenius group with cyclic Frobenius kernel, then Gx≅AGL(1,...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-06DOI: 10.1080/00927872.2024.2379491
Jun Tong, Bing Duan, Yanfeng Luo
In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type Dn, inspired by Mukhin and Young’s combinatorial path models of representations of the...
在本文中，我们介绍了量子仿射代数 Dn 型表示的组合路径模型，其灵感来自 Mukhin 和 Young 的...
{"title":"A combinatorial model for q-characters of fundamental modules of type Dn","authors":"Jun Tong, Bing Duan, Yanfeng Luo","doi":"10.1080/00927872.2024.2379491","DOIUrl":"https://doi.org/10.1080/00927872.2024.2379491","url":null,"abstract":"In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type Dn, inspired by Mukhin and Young’s combinatorial path models of representations of the...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-06DOI: 10.1080/00927872.2024.2381823
Valmecir Antonio dos Santos Bayer, Edison Marcavillaca Niño de Guzmán, Abramo Hefez, Marcelo Escudeiro Hernandes
In contrast to the Milnor number, there was no known formula relating the Tjurina number of a reducible curve to the Tjurina numbers of its components. In this work we exhibit such a formula relati...
{"title":"Tjurina number of a local complete intersection curve","authors":"Valmecir Antonio dos Santos Bayer, Edison Marcavillaca Niño de Guzmán, Abramo Hefez, Marcelo Escudeiro Hernandes","doi":"10.1080/00927872.2024.2381823","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381823","url":null,"abstract":"In contrast to the Milnor number, there was no known formula relating the Tjurina number of a reducible curve to the Tjurina numbers of its components. In this work we exhibit such a formula relati...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2381827
Pankaj Shukla, Anand Parkash
Let k be a field of characteristic zero. If c1,c2∈k∖{0},s,t≥1 and u≥0, then it is shown that the k-derivations ∂x+xu(c1xtys+c2)∂y and ∂x+xu(c1xt+c2ys+1)∂y of k[x, y] are simple. We also give a nece...
设 k 是特征为零的域。如果 c1,c2∈k∖{0},s,t≥1 且 u≥0，那么可以证明 k[x, y] 的 k 衍 ∂x+xu(c1xtys+c2)∂y 和 ∂x+xu(c1xt+c2ys+1)∂y 是简单的。我们还给出了一个新的...
{"title":"Simple derivations in two variables","authors":"Pankaj Shukla, Anand Parkash","doi":"10.1080/00927872.2024.2381827","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381827","url":null,"abstract":"Let k be a field of characteristic zero. If c1,c2∈k∖{0},s,t≥1 and u≥0, then it is shown that the k-derivations ∂x+xu(c1xtys+c2)∂y and ∂x+xu(c1xt+c2ys+1)∂y of k[x, y] are simple. We also give a nece...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2381814
Hongjin Liu, Zhengxin Chen
Let m, n be integers with m>n . Denote Mm,n by the set of all m×n matrices over the field F of characteristic zero. Let I be an n×m matrix with (i,i) -position 1 for any 1≤i≤n , and 0 in other ...
{"title":"Derivations and biderivations of the non-square linear Lie algebra gl(m×n, 𝔽)","authors":"Hongjin Liu, Zhengxin Chen","doi":"10.1080/00927872.2024.2381814","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381814","url":null,"abstract":"Let m, n be integers with m>n . Denote Mm,n by the set of all m×n matrices over the field F of characteristic zero. Let I be an n×m matrix with (i,i) -position 1 for any 1≤i≤n , and 0 in other ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2378223
Taro Hayashi
It is known that the degree of irrationality irr(X) of a smooth surface X of degree d≥5 in P3 is at least d – 2. In this paper, we study a Galois rational map f:X−−→P2 of degree d – 2, and we show ...
已知 P3 中阶数 d≥5 的光滑曲面 X 的无理度 irr(X) 至少为 d - 2。本文研究了度数为 d - 2 的伽罗瓦有理映射 f:X--→P2，并证明了...
{"title":"Galois skew lines of smooth surfaces in P3","authors":"Taro Hayashi","doi":"10.1080/00927872.2024.2378223","DOIUrl":"https://doi.org/10.1080/00927872.2024.2378223","url":null,"abstract":"It is known that the degree of irrationality irr(X) of a smooth surface X of degree d≥5 in P3 is at least d – 2. In this paper, we study a Galois rational map f:X−−→P2 of degree d – 2, and we show ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2377811
Baian Liu
For a domain D, the ring Int(D) of integer-valued polynomials over D is atomic if D satisfies the ascending chain condition on principal ideals. However, even for a discrete valuation domain V, the...
对于一个域 D，如果 D 满足主理想的上升链条件，则 D 上的整数值多项式环 Int(D) 是原子环。然而，即使对于离散估值域 V，...
{"title":"Factorization in rings of integer-valued rational functions","authors":"Baian Liu","doi":"10.1080/00927872.2024.2377811","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377811","url":null,"abstract":"For a domain D, the ring Int(D) of integer-valued polynomials over D is atomic if D satisfies the ascending chain condition on principal ideals. However, even for a discrete valuation domain V, the...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2382813
Dongfang Yang, Yu Zeng
We define, and denote by anz(G), the average number of zeros of characters of a finite group G as the number of zeros in the character table of G dividing the number of irreducible characters of G....
我们将有限群 G 的平均字符零点数定义为 G 字符表中的零点数除以 G 的不可还原字符数，并用 anz(G) 表示....。
{"title":"Odd-order groups with small average number of zeros of characters","authors":"Dongfang Yang, Yu Zeng","doi":"10.1080/00927872.2024.2382813","DOIUrl":"https://doi.org/10.1080/00927872.2024.2382813","url":null,"abstract":"We define, and denote by anz(G), the average number of zeros of characters of a finite group G as the number of zeros in the character table of G dividing the number of irreducible characters of G....","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1080/00927872.2024.2381825
Hossein Faridian
We prove that if f:R→S is a local homomorphism of noetherian local rings, and M is a non-zero finitely generated or artinian S-module whose injective dimension over R is bounded by the difference ...
{"title":"Bounds on injective dimension and exceptional complete intersection maps","authors":"Hossein Faridian","doi":"10.1080/00927872.2024.2381825","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381825","url":null,"abstract":"We prove that if f:R→S is a local homomorphism of noetherian local rings, and M is a non-zero finitely generated or artinian S-module whose injective dimension over R is bounded by the difference ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-02DOI: 10.1080/00927872.2024.2379488
Sunil Kumar Prajapati, Ayush Udeep
For a finite group G, we denote by c(G) , the minimal degree of a faithful representation of G by quasi-permutation matrices over C . For an irreducible character χ of G, the codegree of χ is def...
对于有限群 G，我们用 c(G)表示 G 在 C 上的准互变矩阵忠实表示的最小度。对于 G 的不可还原特性 χ，χ 的度数定义为...
{"title":"On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of p-groups","authors":"Sunil Kumar Prajapati, Ayush Udeep","doi":"10.1080/00927872.2024.2379488","DOIUrl":"https://doi.org/10.1080/00927872.2024.2379488","url":null,"abstract":"For a finite group G, we denote by c(G) , the minimal degree of a faithful representation of G by quasi-permutation matrices over C . For an irreducible character χ of G, the codegree of χ is def...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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